Since ∠COA and ∠BOD are vertical angles, they are congruent.
You are also given that ∠ACO ≅ ∠DBO and BO ≅ CO.
By ASA (Angle-Side-Angle) congruency, you know that △ACO ≅ △DBO
The proof is shown below:
What is congruency of Triangles?If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.
In Δ PQR and ΔXYZ, as shown below, we can identify that PQ = XY, PR = XZ, and QR = YZ and ∠P = ∠X, ∠Q = ∠Y and ∠R = ∠Z. Then we can say that Δ PQR ≅ ΔXYZ.
What is ASA congruency criteria?ASA criterion stands for Angle-Side-Angle criterion. Under the ASA criterion, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.
Given:
∠ACO ≅ ∠DBO, and BO ≅ CO
as, ∠COA =∠BOD (vertically opposite angles)
∠ACO ≅ ∠DBO ( given)
BO ≅ CO ( given)
So, By ASA (Angle-Side-Angle) congruency, △ACO ≅ △DBO
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How far would she have walked if she kept the same pace?
solve for W
14/W=26/39
Answer:
I think the answer is 21
Step-by-step explanation:
The answer is 21 because we can simple reduce 26/39 = 2/3. And now that you have done that all we need to do is find what 14/w = 2/3 this is quite simple as we just have to mutiply the 3*7 to get 21 as your answer. I don't know if this is correct or not but this is my best answer.
Answer:
21
Step-by-step explanation:
14 : w = 26 : 39
w = 14 * 39 : 26
w = 21
In the following diagram CDFG ~ HJLK. use this information to find the value x.
Answer:
x=2.25
Step-by-step explanation:
4x=3 x 3
Solve. 1/2(-4 — 2n) = -17 Please explain it to me if you can I dont really understand how to do these types of problems so it would be much appreciated!
Answer:
n = 15Step-by-step explanation:
[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]
First of all try to see if there are fractions in the equation .
If so try to find the LCM of the fractions and multiply the equation through by the LCM.
If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction
If there are brackets try to solve the terms in the bracket first
For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2
That's
[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]
[tex] - 4 - 2n = - 34[/tex]
Try to make the unknown variable the subject
That's
[tex] - 2n = - 34 + 4[/tex]
Simplify
[tex] - 2n = - 30[/tex]
Divide both sides by -2 to make n stand alone
That's
[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]
We have the final answer as
n = 15Hope this helps you
The steepness or grade of a road is expressed as a percent. if a road rises 8 feet for every 64 horizontal feet. What is the slope of the road? what percent grade is this ?
Answer:
[tex]\frac{1}{8}[/tex] is the slope, and the percent grade of this is 12.5%.
Step-by-step explanation:
The slope of any linear equation is always rise over run.
Since we rise 8 feet for every 64 feet travelled horizontally, our fraction is
[tex]\frac{8}{64}[/tex] which simplifies to [tex]\frac{1}{8}[/tex], so [tex]\frac{1}{8}[/tex] is the slope.
To find the percent grade, we find the decimal version of [tex]\frac{1}{8}[/tex] and multiply by 100.
[tex]1\div8 = 0.125\\0.125\cdot100 = 12.5[/tex]
Hope this helped!
Answer:
Slope = 1/8
Grade = 12.5%
Step-by-step explanation:
Hey there!
Well if the rise/run is 8/64
then the slope is 8/64,
8/64
simplified
1/8 is the slope
The decimal grade is 1/8 as a percent so,
1 ÷ 8 = .125
Move the decimal place 2 times to the right,
12.5% is the decimal grade
Hope this helps :)
Find X. Round your answer to the nearest tenth of a degree.
Answer:
48.6 degrees
Step-by-step explanation:
The sine function is appropriate here:
9
sin x = ------------- = 0.75
12
The inverse sine function arcsin x provides with the angle measurement:
arcsin 0.75 = 0.848 radian, or 48.6 degrees
Reflections, rotations, and translations are types of transformations. A reflection flips an image, a rotation spins an image, and a translation slides an image. Draw a shape on a piece of paper and cut it out. Then, flip it, spin it, and slide it. Explain how each transformation affects the size and shape of the image you drew. IDK how to answer this PLS HELP
Answer:
Hey there!
A "flip" can be considered a reflection.
A "spin" is a rotation.
A "slide" is a translation.
None of these transformations change the way a shape looks, or the size of the shape. They only change how the shape is oriented.
Let me know if this helps :)
In this exercise we have to differentiate three geometric terms, in this way we can say that;
Flip is considered a reflection. Spin is a rotation. Slide is a translation.
So in a more in-depth way these geometric terms can be described as:
Flip: the established term, exist a static or exciting concept namely produce by a mirror-reversal of an original across a lying flat point around which something revolves (a fail miserably image happen reflect across the upright point around which something revolves)Spin: When two surfaces bear many point correspondences, they equal. Taken together, the familiarize points and befriend figure create our surface repre-sentation. Because the image era process maybe visualized as a page make go around about the common of a point, the counterpart fashionable our likeness happen named spin-images.Slide: A move smoothly show happen a presentation of a succession of still figure (slides) ahead of a projection screen or photoelectric display symbol, usually fashionable a prearranged series. The changes grant permission exist automatic and repeatedly or they grant permission happen manually controlled by a person who entertains or the witness.See more about geometry at brainly.com/question/7558603
Two joggers start from different locations and simultaneously begin heading toward each other. One of the joggers jogs 19mph, while the other jogs 17mph. If the two joggers are 324 miles apart how many hours will it take before they meet?
Answer:
It would take 9 hours for them to meet.
Step-by-step explanation:
Total distance covered by both per hour: 19+17=36
The total time to go 324 miles for them: 324/36=9
NEED ANSWER FAST....FIRST ANSWER WILL BE BRAINLIST!!!!
For which data set would the mean absolute deviation be a good indicator of variation of the data?
Answer:
Bottom right.
Step-by-step explanation:
The bottom right stem-and-leaf plot is the best data set because the data is unimodal and centered, so the mean absolute deviation will be the smallest. To verify this algebraically, you can find the mean of the data set. Once you have done that, you can find the absolute value of the difference between each data value and the mean: |data value – mean|.
What effect will replacing x with (x−3) have on the graph of the equation y=x2 y = x 2 ? A. slides the graph 3 units down B. slides the graph 3 units right C. shrinks the graph by a factor of 3 D. slides the graph 3 units left
Answer:
B. slides the graph 3 units right
Step-by-step explanation:
Replacing x with x-h moves the graph 'h' units to the right. In this case, the graph is moved 3 units right by replacing x with x-3.
what are the four different ways to solve a quadratic equation? When would you prefer to use each method?
Answer:
4
Step-by-step explanation:
factoring , using square roots , completing the square and the quadratic formular
Answer:
See below.
Step-by-step explanation:
The four main ways to solve a quadratic equation are:
1) Factoring, 2) Completing the Square, 3) Graphing, and 4) Quadratic Formula.
Each method has it's own pros and cons.
1) Factoring. You should factor when the given equation is easily factor-able or already factored. For instance:
[tex]0=x^2-4x-12\\0=(x+7)(x-1)[/tex]
These problems are easily factored so factoring is preferred here. However, factoring will not always work.
2) Completing the Square. You complete the square if you are able to complete the perfect square trinomial with only integers. For instance:
[tex]x^2-2x-7=0\\(x^2-2x+1)-7-1=0\\(x-2)^2-8=0[/tex]
However, you wound't use completing the square if:
[tex]x^2-3x+2=0\\(x^2-3x+9/4)+2-9/4=0[/tex]
The perfect square trinomial includes fractions so you would use alternative methods here (and factoring works here!).
Despite the complexity of completing the square, if done correctly, it works every time. However, sometimes, it can be time-consuming.
3) Graphing. Graphing (if on paper) is time-consuming. You would only use graphing when you only need an approximation. Unless directed to, you probably won't need to use graphing.
However, if you have a graphing calculator, graphing the equation can allow you to check your answer. So, graphing won't get you precise answer, but it will allow you to check your answer is necessary.
4) Quadratic Formula. Use the quadratic formula if the equation isn't factor-able and completing the square is too tedious. For instance:
[tex]4.1x^2-3x-7=0\\[/tex]
This doesn't seem factor-able and completing the square will take a while. Graphing won't get the exact answer, so the quadratic formula is the only avenue left.
The quadratic method, like completing the square, will always work.
Only con is that you need to memorize the formula.
Plz answer fast! Tell the correct answer(both parts), or else I will report you.
Answer:
d1 = -1.5
dn = dn-1 *-4
Step-by-step explanation:
-1.5, 6, -24,96
The first terms is d1
d1 = -1.5
To find the common ratio divide the second term by the first term
6/-1.5 = -4
Check 6*-4 = -24
-24*-4 = 96
dn =dn-1 * -4
Answer:
D (1) = -1.5
D (n)= dn-1 *-4
Step-by-step explanation:
I know ;) hope this helps.
Solve for x: x - 15 = -30
Answer:
x = -15
Step-by-step explanation:
x - 15 = -30
add 15 to both sides
x = -15
Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
Answer:
the 3rd one
Step-by-step explanation:
20+17=37
-1/2+(-5/2)= -3
so 37 + ( -3 ) = -3 + 37 have the same value which is 34
Use the model below to find the area of the shaded region.
Answer:4/12
Step1- 3 times 4 is 12
Step2- count how many twelvths are shaded
Step3- 4 twelvths are shaded
Answer: 4/12
Answer:
C. 1/3 square yard
Step-by-step explanation:
Given:
The length of shaded area = 2/3 yardThe width of shaded area = 2/4 yardTo find:
The area of shaded regionSolution:
The shaded region is a rectangle. Area of a rectangle is the product of the length and width:
Area = 2/3 yard * 2/4 yard = 1/3 square yardAnswer choice: C. 1/3 square yard
can someone show me how to do this please?
Answer:
SA = 108 ft^2
Step-by-step explanation:
The front and back faces are triangles with 4 ft base and 3 ft height.
The three sides are rectangles with dimensions 4 ft by 8 ft, 8 ft by 5 ft, and 3 ft by 8 ft.
The surface area is the sum of the areas of the two triangles and the three rectangles.
SA = 2 * (1/2)(4 ft * 3 ft) + 4 ft * 8 ft + 8 ft * 5 ft + 3 ft * 8 ft
SA = 12 ft^2 + 32 ft^2 + 40 ft^2 + 24 ft^2
SA = 108 ft^2
Help and show work plz
Answer:
NQ=15, NP=20
Step-by-step explanation:
9/(2x+1)=12/(3x-1)
cross product
12(2x+1)=9(3x-1)
24x+12=27x-9
12=27x-24x-9
12=3x-9
3x=12+9
3x=21
x=21/3
x=7
NQ=2x+1=2(7)+1=15
NP=3x-1=3(7)-1=21-1=20
Answer:
x = 7
Step-by-step explanation:
Since the triangles are similar the ratio of the sides must be the same
AB AK
------- = --------------
QN NP
9 12
---------- = ------------
2x+1 3x-1
Using cross products
9(3x-1) = 12(2x+1)
Distribute
27x -9 = 24x +12
Subtract 24x from each side
3x-9 = 12
Add 9 to each side
3x = 21
Divide by 3
x = 7
HELPPPPPP PLEASE AND THANK YOU D:
Answer:
2.
Step-by-step explanation:
2 . is the correct pair.
asap please x÷7=11÷15help
Answer:
x = 77/15 or 5 2/15
Step-by-step explanation:
x/7 = 11/15
Multiply each side by 7
x/7 *7 = 11/15 *7
x = 77/15
We can leave as an improper fraction or change to a mixed number
15 goes into 77 5 times with 2 left over
5 2/15
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 77/15, 5 2/15, or 5.13
▹ Step-by-Step Explanation
x ÷ 7 = 11 ÷ 15
15x = 77
Divide both sides by 15:
x = 77/15, 5 2/15, or 5.13
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
I need help ASAP!! I have no idea how to do this and what side does it mean when it says other side??!
Answer:
1 point should be located before 4 points below C.
1 point should be located before 4 points above B.
1 point should be located at point A.
What is the total surface area of the square pyramid below? A square pyramid. The square base has side lengths of 10 centimeters. The triangular sides have a height of 14 centimeters. 100 cm2 200 cm2 280 cm2 380 cm2
Answer:
380 cm^2
Step-by-step explanation:
10*10=100(base square)
Each triangle= (14*10) /2=70
4 sides, so therefore: 70*4=280
280+100=380
Since the square base has side 10 cm and triangular side has height 14 cm, the total surface area of square pyramid is 380 cm²
To answer the question, we need to find the total surface area of the square pyramid
Total surface area of a square pyramid.Since a square pyramid has a square base and four triangular sides, its surface area, A = area of square base + 4 × Area of triangular side.
Area of square base
Area of square with side, L is A = L²
Area of triangular base
Area of triangle with height, h and base, L which is the length of the square base is A' = 1/2Lh
So, total surface area of square pyramid is A" = L² + 4 × 1/2Lh
= L² + 2Lh
Given that the length of the square base is 10 cm and the height of the triangular side is 14 cm.
We have that
L = 10 cm and h = 14 cmSo, substituting the values of the variables intot he equation, we have
A" = L² + 2Lh
A" = (10 cm)² + 2 × 10 cm × 14 cm
A" = 100 cm² + 280 cm²
A" = 380 cm²
So, the total surface area of square pyramid is 380 cm²
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165°
145
x =
Please Help!!!!
Answer:
15°
Step-by-step explanation:
The 165° and x forms a straight line or a supplementary angle. Supplementary angles add up to 180°. Therefore:
[tex]165+x=180[/tex]
Solve for x:
[tex]165+x=180\\x=15\textdegree[/tex]
Answer:
15 degress
165 and x lie on a 180 degress.
and 180 - 165 is 15.
Bye!
Step-by-step explanation:
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. ∆ANT ≅ ∆_____ by _____
Answer:
The correct answer is;
ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency
Step-by-step explanation:
The given information are;
Segment TN is congruent ts segment EL
Segment TA is congruent ts segment EF
Segment AN is congruent ts segment FL
Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency
One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.
Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency
Answer: cannot be determined
Step-by-step explanation:
there isnt a rule SSS
Graph each inequality on a number line.
d. You must be at least 38 inches tall to ride the roller coaster.
(number line photo attached)
Answer:
Create a black dot that is filled in, then an arrow going towards the right.
Find the measure of the remote exterior angle. m∠x=(197−5n)°m∠y=(6n+22)°m∠z=(n+7)°
Answer:
x=127°
Step-by-step explanation:First you have to solve for n and to do so you have to add the interior angles together and equal them to the remote exterior angle.
n+7+6n+22=197-5n
12n+29=197
12n=168
n-14
once you get n you have to plug it into 197-5n
197-5(14)
197-70
127
The required value of exterior angle m∠x is 127.
From figure x is remote exterior angle m∠x=(197−5n)°. and y and z are interior angles m∠y=(6n+22)° and m∠z=(n+7)° respectively. value of x to be determine.
Angle made at outer side of the corner is called exterior angles.
Here, by properties, sum of the interior angle = remoter exterior angle
So,
m∠x = m∠y + m∠z
197−5n = 6n+22+n+7
168 = 12n
n = 14
put n in m∠x
m∠x=(197−5n)°
m∠x=(197−5*14)°
m∠x=(197−70)°
m∠x=127°
Thus, the required value of exterior angle m∠x is 127.
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what is equivlent to 12x+(−7)−214x−(−2)
Answer:
X=5/216
Step-by-step explanation:
Answer:
X=5/216
Step-by-step explanation:
Round 18.049 to the nearest tenth.
Answer:
18.0
Step-by-step explanation:
Note the tenth place value (underlined and bolded): 18.049
Look at the number to the direct right of the tenth place value (or the hundredth place value in this case). It is a 4.
Note the rules of rounding. If the number:
1) is 5 or greater, round up.
2) is 4 or less, round down.
In this case, it is 4, so you will round down.
18.049 rounded to the nearest tenth is 18.0
~
Answer:
18.0
Step-by-step explanation:
first time i put 18 and it was wrong so
You invest $4,000 in a savings account. The account pays 3% annual interest. How
much money will be in the savings account after 9 years?
$5,124.33
$6,003.45
$4,938.29
$5,219.20
Answer:
$5219.20
Step-by-step explanation:
4000 × (1+(3 / 100))^9
GUYS PLEASE HELP WILL MARK BRAINLIEST
Answer:
14 yards²
Step-by-step explanation:
To find the area of this complex shape, we can break it down into two parts.
I've broken it down into the left shape (with side lengths of 2, 2, 4 and 4) and the right shape (with side lengths of 2, 2, 2 and 3).
Looking at the shape on the left, the width is 4 yards and the length is 2 yards. Multiplying these numbers will get the area for that shape.
[tex]2\cdot4=8[/tex] yards².
Now in the right shape, the length is 3 and the width is 2, so:
[tex]3\cdot2=6[/tex] yards².
Now we can add both of these to get the total area of the figure.
[tex]6+8=14[/tex] yards².
Hope this helped!
Answer:
14 yds^2
Step-by-step explanation:
We can split this into two rectangles
There is a vertical rectangle on the left, 4 yds by 2 yds
The area is 4*2 = 8 yd^2
There is a horizontal rectangle on the right 3 yds by 2 yds
The area is 3*2 = 6 yd ^2
Add the areas together
8+6 = 14
Lisa read 46 pages on Sunday, 15 pages on Monday, and 19 pages on Tuesday. Which of the following is closest to the mean number of pages she read over the three-day period? A. 19 pages B. 21 pages C. 27 pages D. 35 pages Show all work!!
Answer:
C. 27 pages
Step-by-step explanation:
First, add all of the numbers together
15+19+46
That would be 80.
Then, once you have the numbers added, divide the number you by how many numbers there are.
80 divided by 3 = 26.7 (rounded)
Now that you have the answer 26.7, that tells you that the answer is 27 pages.
Answer:
c.27
Step-by-step explanation:
You have to add 46,15, and 19 together which gets you 80. Then you divide it by 3 and you get 26.(something) since its a decimal, you need a whole number. You round to 27 because its the closest. (When finding the mean, you must add the numbers and divide by how many numbers there are (3))