Answers
This is a bit hard to fill in the blanks for, so I'm just gonna explain what is happening in the proof...
First, the proof used If parallel, then alternate interior angles are congruent. Then it uses vertical angles are congruent. Then it uses C as a midpoint to get two segments congruent. Then you can get that the triangles are congruent by Angle, Side, Angle. The with CPCTC(Corresponding Parts of Congruent Triangles Congruent) to get BC congruent to DC.
Hope it helps <3
Answer:
Step-by-step explanation:
1) AB // DE Given
2) AC = CE Definition of midpoint
3) ∠ABC = ∠EDC Alternate interior angles are congruent
4)∠ACB = ∠ECD Vertically opposite angles are congruent
5) ΔACB ≅ ΔECD SAA Congruent of triangles
6) BC ≅ DC CPCT --> corresponding Part of Congruent Triangle
Related Questions
Find the complementary angle for 93
Answers
Answer:
Complementary means they add up to 90, so you want 2 angles that add up to 90...so what do you mean for 93? Are you talking supplementary,(add to 180), because that would be 87.
Answer: no complement
Explanation: To find the complement of a 93 degree angle, we take 90 minus the measure of the angle which in this case is 90° - 93°.
Notice that this gives us a negative angle measure
and since we can't have a negative angle,
we say that the given angle has no complement.
Watch out for negative answers to geometry problems.
Since we're usually talking about angle measures
or segment lengths, negatives will not work.
Make a copy of this document for yourself. Solve each problem. Remember to combine like terms and use inverse operations when necessary. Get the variable by itself.
Answers
Answer:
the answer is 5.
given, 2c-7c+8=-17
or, -5c=-17-5
or, c=-25/-5
therefore the value of c is 5...
Step-by-step explanation:
[tex]2c -7c +8 =-17\\Collect- like- terms\\2c-7c=-17-8\\Simplify\\-5c = -25\\Divide-both-sides-of-the-equation-by -5\\\frac{-5c}{-5} = \frac{-25}{-5} \\\\c = 5[/tex]
A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the
cylinder. If the height of the cylinder is 32 inches, what is the approximate volume of
the sphere?
A 2,7317 cu in.
B 4,0961 cu in.
C 8,192n cu in.
D 5,4611 cu in.
Answers
Answer:
Step-by-step explanation:
we khow that the height of the cylinder is 32 inches
divide it by 2 to get the radius 32/2= 16
let V be the volume :
V= (4/3)*16³*π = 17157.28 in³ this really close to the volume of this sphereThe volume of the sphere will be 5461.3 π cubic inches. Then the correct option is D.
What is the volume of the sphere?Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the cylinder.
If the height of the cylinder is 32 inches.
The height of the cylinder and sphere are same.
Then the radius of the sphere will be
r = 32 / 2
r = 16 inches
Then the volume of the sphere will be
V = 4/3 π(16)³ cubic units
V = 5461.3 π cubic inches
Then the correct option is D.
More about the volume of the sphere link is given below.
https://brainly.com/question/9994313
#SPJ2
Select the graph for the solution of the open sentence. Click until the correct graph appears |x| < 3
Answers
|x| < 3 turns into -3 < x < 3
This says that x is between -3 and 3, but cannot equal either endpoint.
The graph will be a number line with open circles at -3 and 3. Then you shade in between those open circles.
It's the graph below vvv/ Have a good day! xx
Help!!!!! please!!!!!
Answers
Answer:
A
Step-by-step explanation:
Diameter = 32 in
r = 32/2 = 16 in
Surface area of sphere = 4πr²
= 4 * 3.142 * 16 * 16
= 3217.408
= 3217 in²
Answer:
[tex]3217 \: {in}^{2} [/tex]Solution,
Diameter (d)= 32 in
Radius (r)= 32/2= 16 in
Surface area of sphere:
[tex]4\pi {r}^{2} \\ = 4 \times \pi \times {(16)}^{2} \\ = 4 \times \pi \times 256 \\ = 1024\pi \\ = 1024 \times 3.142 \\ = 3217.108 \: {in}^{2} [/tex]
Hope this helps...
Good luck on your assignment...
Triangle $ABC$ has its vertices $A$, $B$, and $C$ on the sides of a rectangle 4 units by 5 units as shown. What is the area of triangle $ABC$ in square units?
Answers
Answer:
10 square units.
Step-by-step explanation:
It is given that triangle ABC has its vertices A, B, and C on the sides of a rectangle 4 units by 5 units.
Height of triangle = 4 units
Base of triangle = 5 units
We need to find the area of triangle.
Area of triangle [tex]=\dfrac{1}{2}\times base \times height[/tex]
Substitute base = 5 and height = 4 in the above formula.
Area of triangle [tex]=\dfrac{1}{2}\times 5\times 4[/tex]
Area of triangle [tex]=\dfrac{20}{2}[/tex]
Area of triangle [tex]=10[/tex]
Therefore, the area of triangle ABC is 10 square units.
Answer:
9
Step-by-step explanation:
Can someone help me with this question please?
Answers
Answer:
a) about -12 °C
b) see below (red line)
c) about -24.5°C
Step-by-step explanation:
a) locate the vertical line representing 10°F on the graph. Identify the point where it intersects the graphed line. Read the vertical coordinate of that point of intersection. That is the temperature in °C. (Purple line on the attachment.) It is about -12 °C.
__
b) When F = -20, C = 2F = 2(-20) = -40. So, (-20, -40) is one point on the line.
When F = 10, C = 2F = 2(10) = 20. So, (10, 20) is another point on the line.
In the attached graph, we have drawn a (red) straight line between these points.
__
c) The Celsius temperature where it is double the Fahrenheit temperature is about -24.5 °C. (Blue line on the attachment.) It is exactly -24 8/13 °C. The graph cannot be read with that precision.
Shouldn't it be the last answer?
Answers
Answer:
x=4
Step-by-step explanation:
The solution is where the two lines intersect
f(x) = g(x) is where x=4 and y = 2
The x =4 is value where f(x) = g(x)
A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 15% of the original number. What percent of the red candies remain
Answers
Answer: 0%
Step-by-step explanation:
There are 5 colors of jelly beans.
Kaz ate all the green beans, so now only 80% of the jelly beans remain.
Kaz ate half of the orange pieces so now only 70% of the jelly beans remain.
Then Kaz ate half of the remaining pieces, so only 35% of the beans remain.
Current numbers: 0% green, 5% orange, 10% red, yellow, blue
Then he eats red and yellow candies in equal proportions until only 15% of the beans remain. This means that he ate 20% worth of red and yellow beans. This means that he ate all of the red and yellow beans.
Thus, there are 0% red beans left.
What is "5t + 76" if t = 6?
Answers
Answer:
106
Step-by-step explanation:
given: 5t + 76
If t = 6, we substitute t=6 into the equation and solve:
5t + 76
= 5(6) + 76
= 30 + 76
= 106
Hi there! Hopefully this helps!
---------------------------------------------------------------------------------------------------
Answer: 106.
First, we need to evaluate.
(Note: when a letter and a number are close to together [5t] it means to multiply)
So if "t" = 6 we rewrite the problem like this:
5(6) + 76.
5 x 6 = 30.
Now we rewrite the problem again.
30 + 76 = 106.
Find the area of a regular octagon with
a side length of 12 cm. Round to the
nearest tenth.
12 cm
[ ? ] cm2
Answers
Answer:
A= 695.3cm²
Step-by-step explanation:
We khow that the area of anctagon is : A= 2(1+[tex]\sqrt{2}[/tex])*a² with a the side so A= 2(1+√2)*a² = 695.29= 695.3 cm²x = [? ]°
117
124°
107
102
145
Answers
Answer:
x = 125°
Step-by-step explanation:
The sum of angles in an n-sided polygon is (180°)(n -2). For a hexagon, the sum of angles is ...
(180°)(6 -2) = 720°
We can use this to find x.
x +117° +124° +102° +145° +107° = 720°
x = 720° -595°
x = 125°
The triangles below are similar. What is the length of ? A. 17 cm C. 19 cm B. 18 cm D. 20 cm
Answers
Answer:
B. 18 cm.
Step-by-step explanation:
Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.
[tex]\frac{16}{24} =\frac{12}{x}[/tex]
[tex]\frac{2}{3} =\frac{12}{x}[/tex]
2 * x = 12 * 3
2x = 36
x = 18
So, the length of ED is B. 18 cm.
Hope this helps!
FUNCTIONS HELP ME ASAP
Answers
Hey there! :)
Answer:
f(-2) = 2.
Step-by-step explanation:
To find f(-2), we simply need to look at the y value at x = -2.
At x = -2, the y value is equal to 2.
Therefore:
f(-2) = 2.
Answer: b)2
Step-by-step explanation:
Visually, when x = -2, y = 2
An interior angle of a regular convex polygon is 135°. How many sides does the polygon have?
Answers
Hey there! :)
Answer:
The polygon has 8 sides.
Step-by-step explanation:
Use the sum of interior angles formula to solve.
The sum of the interior angles is equal to (n-2)180. If 135° is one angle, we can simply set up an expression to represent this situation:
135 = (n-2)· 180 / n
Multiply both sides by n:
135n = (n-2) · 180
Distribute the 180:
135n = 180n - 360
Subtract 180n from both sides:
-45n = -360
Divide both sides by -45:
n = 8. The polygon has 8 sides.
Answer:8 sides
Step-by-step explanation:
Help me!!!!!!! Plzzzz
Answers
Answer:
Option 3
Step-by-step explanation:
You work as a health inspector and must visit each of the 15 restaurants in town once each week.
a) In how many different orders can you make these inspections?
b) If you were to work 50 weeks a year and use a different order every week, how long would it take you to try all of the different possible orders
Answers
Answer:
Step-by-step explanation:
The no of different ways in which these restaurants can be visited
= ¹⁵P₁₅
= 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 1.30 x 10¹²
b ) Each combination takes 1 week and 50 weeks in a year to work
No of years to take to try all the combination
= 1.30 x 10¹² / 50
= 2.615 x 10¹⁰ years .
The equation yˆ=−6.2x2+41.5x−5.6 approximates the average number of cars that pass through an intersection x hours after 3:00 p.m. What is the best estimate for the average number of cars that pass through the intersection at 5:30 p.m.?
Answers
Answer:
59
Step-by-step explanation:
5: 30 pm is 2.5 hours after 3 : 00 pm
Substitute x = 2.5 into the equation
y = - 6.2(2.5)² + 41.5(2.5) - 5.6
= - 38.75 + 103.75 - 5.6
= 59.4
The average number of cars is 59
Below is the work a student completed with an error. Identify the step where the error occurred and give the correct solution. Step 1:(12-20)-3(8-3)+13 Step 2:-8-24-9+13 Step 3:-32-9+13 Step 4:-41+13
Answers
Answer:
The error is in Step 2. The student distributed -3 incorrectly; it should have been 9, not -9. The correct solution is -8 - 24 + 9 + 13 = -32 + 9 + 13 = -32 + 22 = -10.
if you can save it and solve it there on the paper
Answers
Answer:
2a). Y= 1. 3= x
2b). Y=4 x= 1
3).
Y= x²+3x-18
For -5
First difference
10
Second difference
-8
For -4
First difference
4
Second difference
-14
For -3
First difference
9-9= 0
Second difference
-18
For -2
First difference
-2
Second difference
-20
For -1
First difference
-2
Second difference
-20
For 0
First difference
0
Second difference
-18
The relation ia a quadratic relation because of the highest Power of x to be 2
Step-by-step explanation:
For
Y=- x+4. Y= 1
Y=x-2. 1= x-2
2y =2. 1+2= x
Y= 1. 3= x
For
Y= x+3. 1= x
Y= 3x+1. Y= 3+1
0= 2x-2. Y= 4
2= 2x
1= x
Y= x²+3x-18
For -5
First difference
25-15= 10
Second difference
10-18= -8
For -4
First difference
16-12= 4
Second difference
4-18= -14
For -3
First difference
9-9= 0
Second difference
0-18 = -18
For -2
First difference
4-6= -2
Second difference
-2-18= -20
For -1
First difference
1-3 = -2
Second difference
-2-18 = -20
For 0
First difference
0+0 = 0
Second difference
0 -18= -18
The relation ia a quadratic relation because of the highest Power of x to be 2
what is this answer 4\5+2\10
Answers
Answer:
1
Step-by-step explanation:
To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.
Answer:
1 or 10/10
Step-by-step explanation:
Step 1 make a common denominator
to make a common demoniator multiply the top and bottom number by the same number
so multiply the 4 and 5 by 2 to get 8/10
Step 2 now that you have 8/10 add it with 2/10
Step 3 solve to get 10/10 and then simplify it to 1
What is the probability of a yellow on this spinner?
Be sure to reduce.
[?]
Answers
Answer:
[tex] \frac{1}{8} [/tex]Solution,
Total sectors = 8
Total yellow sector = 1
Required probability:
[tex] \frac{1}{8} [/tex]
Hope this helps...
Good luck on your assignment..
Answer:
1/8
Step-by-step explanation:
The probability of getting a yellow can be found by dividing the number of yellow sections by the total number of sections.
P(yellow)= yellow/total
There is only 1 yellow section out of a total of 8 sections.
yellow= 1
total= 8
P(yellow)= 1/8
This fraction cannot be reduced further, so our answer is 1/8.
A print shop purchases a new printer for $25,000. The equipment depreciates at a rate of 5% each year. The relationship between the value of the printer, y, and the year number, x, can be represented by the equation, y = 25 , 000 ⋅ 0.95 x . Complete the table below with the value of the printer, to the nearest cent, in years 1, 2, and 3. Include proper decimals and commas in your answer and show your answer to the nearest cent.
Answers
Answer:
The value of the printer on the first year was $ 23,750.00. On the second year it was $ 22,562.5. On the third year it was $ 21,434.38.
Step-by-step explanation:
Since the printer depreciates at a rate of 5% per year, I believe the stated equation is miss typed. Therefore I'll answer this with the correct equation that would represent that setting:
[tex]y(x) = 25,000*0.95^x[/tex]
In the first year the value of the printer is:
[tex]y(1) = 25,000*0.95^1 = 23,750[/tex]
On the second year the value of the printer is:
[tex]y(2) = 25,000*0.95^2 = 22,562.5\\[/tex]
On the third year the value of the printer is:
[tex]y(3) = 25,000*0.95^3 = 21,434.38\\[/tex]
The value of the printer on the first year was $ 23,750.00. On the second year it was $ 22,562.5. On the third year it was $ 21,434.38.
Ratio and Proportion problem
Please help meh
Answers
Answer:
hope its helpful to uh.......
Earn 9+ points with this question:
A circle is centered at O(0,0) and has a radius of sqrt(38). Where does the point K(6,1) lie?
a) Inside the circle
b) On the circle
c) Outside the circle
Answers
Answer:
A. Inside the Circle
Step-by-step explanation:
If you graph the circle, you should be able to see that when x = 6, y =1.414, so (6, 1) would lie inside the circle.
Find C and a so that f(x)equalsCa Superscript x models the situation described. State what the variable x represents in your formula. There are initially 3000 bacteria, and this sample doubles in size every hour.
Answers
Answer: x represents the time period.
C= 3000 and a = 2
Step-by-step explanation:
The given equation is [tex]f(x)=Ca^x[/tex] which is an exponential equation. (i)
The general form of the exponential equation is :
[tex]f(x)=Ab^x[/tex] (ii)
, where A = initial value and b= multiplicative factor, and x is the time.
As compare both of the equation in (i) and (ii) , we get
A= C , and b= a
Since there are initially 3000 bacteria, and this sample doubles in size every hour.
i.e. C= 3000 (Initial) and a= 2 (multiplicative factor).
What’s 10 to the power of 10 A.100,000 B.10,000,000 or C.1,000,000,000
Answers
Answer:
10,000,000,000
hopefully this helped :3
Answer:
C.10,000,000,000
Step-by-step explanation:
The price of a watch was increased by 7% to £1350. What was the price before the increase? Give your answer to the nearest penny.
Answers
Answer:
1261.68
Step-by-step explanation:
1350 = the increased watch price= 107% of the original
1350= 1.07x
1261.68224299
Check:
7% of 1261.68224299 is 88.317757
1261.68224299 + 88.317757 = 1349.9 = 1350
Round:
1261.68224299
To the penny= to the hundreth= 1261.68
What is -1 2/5 times 1 1/7
Answers
Answer: -8/5
Step-by-step explanation:
I know this because -1 2/5 is -7/5 and 1 1/7 is 8/7. Multiply the numerator and denominator together and you get the answer
Hi! :)
Answer:
-1.6 or -1 3/5
Step-by-step explanation:
This is how I got -1 3/5
First we have to convert the mixed number into fractions.
Than you have to use the formula
(Top) -7 x 8
(Bottom) 5x7
And you will get -56/35
Now you have to convert-56/25 into mixed number
Which will be -1 3/5
So the answer is -1 3/5 or -1.6
Hope this helps!
By, BrainlyMember ^-^
I hope I am correct, brainliest would be great!
✨Good luck!✨
Solve x? - 8x = 3 by completing the square. Which is the solution set of the equation?
O [4 - 19.4 +19)
- 14 - 11.4 + V11)
O [4-78.4 +18)
14 - 3, 4 + 31