Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are parallel. Using the side-splitter theorem, which segment length would complete the proportion? StartFraction G H Over H E EndFraction = StartFraction question mark Over J F EndFraction GF JH GJ EF
Answer:
GJ
Step-by-step explanation:
The "Side Splitter" Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally.
In this case, lines EF and HJ are parallel, H is on side EG and J is on side GF; then using the side-splitter theorem:
[tex] \frac{GH}{HE} = \frac{GJ}{JF} [/tex]
Answer:
It is C
Step-by-step explanation:
Took it on Edg
solve for x, x+3y=-3
Answer:
x = -3y-3
Step-by-step explanation:
To put the equation in terms of x, you simply subtract 3y on both sides.
Answer:
x = -3 -3y
Step-by-step explanation:
x+3y=-3
Subtract 3y from each side
x+3y-3y=-3-3y
x = -3 -3y
Anyone help with this too?
Answer:
36
Step-by-step explanation:
I cant be asked
Answer:
the answer is x = ( 5 + r )²
Step-by-step explanation:
I hope this was helpful
pls find WV
a.7
b.23
c.84
d.145
Answer:
[tex]\mathrm{B}[/tex]
Step-by-step explanation:
[tex]WV=XY[/tex]
[tex]12x-61=3x+2[/tex]
[tex]12x-3x=2+61[/tex]
[tex]9x=63[/tex]
[tex]9x/9=63/9[/tex]
[tex]x=7[/tex]
[tex]12x-61[/tex]
[tex]12(7)-61[/tex]
[tex]=23[/tex]
Answer:
B. 23
Step-by-step explanation:
This is a congruent triangle by SAS Postulate
So,
XY = WV
=> 3x+2 = 12x-61
=> 2+61 = 12x-3x
=> 63 = 9x
Dividing both sides by 9
=> x = 7
Now Side WV:
=> 12(7)-61
=> 84-61
=> 23
Which of these units should be used to measure the mass of a small dog? A. milligram B. centigram C. gram D. kilogram
Answer:
D. kilograms
Step-by-step explanation:
A small dog is about the size of a human infant. We measure infants in kilograms, so the option best fitting for measuring a dog would be kilograms or kg.
Michelle kicks a soccer ball up into the air from the ground. The graph represents the height of the ball, in feet, as a function of time, in seconds. image 84feafed15d34870b0898ecea9d9cf41 Select all of the values that are in the domain of the function represented by the graph. A -5 seconds B 0 seconds C 2.5 seconds D 6 seconds E 10 seconds
Answer:
The correct answers are B) 0 Seconds C) 2.5 Seconds and D) 6 Seconds
Step-by-step explanation:
These three values fall in the domain of the function that's represented by the graph. 0 ≤x≤ 8. Hope this helps, good luck!
The values that are in the domain of the function represented by the graph are B) 0 Seconds C) 2.5 Seconds and D) 6 Seconds
What is Domain?The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.
The domain refers to all of the values that are included in a relation or function.
The Domain set is made up of all used independent input values.
Given:
As, we now the domain are the input values.
From the graph the domain is represented on the x- axis.
So, the graph show the value from 0 to 8 on the x- axis.
Hence, the domain of the graph is { 0≤ x ≤ 8}
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The lines shown below are parallel. If the green line has a slope of -2, what is the slope of the red line? A. 1/2 B. -1/2 C. 2 D. -2
Answer:
D, -2
Step-by-step explanation:
Hello! If two lines are parallels, it means they will never meet. This means that they have to be the same slope, because if one is even the slightest bit different, it will eventually touch the other line! A great website to understand visually, is Desmos! You can plot the lines and see for yourself if you're a visual learner!
Hope this helps! :)
If a person can complete a job in 8 hours and his/her friend needs 6 hours to do the same job, what portion of the job would the tow of them complete by working together
for two hours?
Both of them can complete 7/12 of the job in 2 hours.
What is rate?Rate is the mathematical term use to show how one quantity varies with a standard quantity.
Analysis:
If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour
If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.
So both of them would do the same job combine in 1 hour = 1/8 + 1/6
LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24
In 2 hours they would complete = 7/24 x 2 = 7/12
In conclusion, both of them can do 7/12 of that job in 2 hours.
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The equation of line CD is y = −2x − 2. What is the equation of a line parallel to line CD in slope-intercept form that contains point (4, 5)?
y = −2x + 13
y = negative one halfx + 7
y = negative one halfx + 3
y = −2x − 3
Answer:
y = −2x + 13
Step-by-step explanation:
equation of line slope intercept form is y = mx +c
where m is slope and c is y intercept
when two lines are parallel then their slope are equal.
_______________________________________
Given line
CD
y = −2x − 2
it is in form of y = mx +c
thus, m = -2
Given that other line parallel to CD y = −2x − 2
Thus, its slope will be -2.
Let the equation of required line be
y = mx +c (as slope will be -2)
Then equation of line will be
y = -2x +c
Given that this line contains (4,5) it will satisfy the equation y = -2x+c
using x = 4 and y = 5
we have
y = -2x +c
5 = -2*4 + c
=> 5 = -8 + c
=> c = 5+8 = 13
Thus, equation of line parallel to y = −2x − 2 and containing point(4,5) is
y = −2x + 13
Answer:
A. y = −2x + 13
Step-by-step explanation:
HELP ME ASAP!!! A cargo plane left Los Angeles seven hours before an Air Force plane. The planes flew in opposite directions. The Air Force plane flew at 325 mph for two hours. After this time the planes were 5150 mi. apart. Find the cargo plane's speed.
The cargo plane's speed was 500 mph.
24. At a company picnic, 1/2 of the people are employees. 2/5 are employees' spouses. What percent are neither?
Answer:
One half of X are employees.
One third of X are employee's spouses.
We add one half PLUS one third:
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Then we subtract that fraction from one whole, or 1,
to see what fraction is left. That is, we say
1 minus 5/6
which is
1 - 5/6
Now write 1 as 6/6
6/6 - 5/6
We get 1/6
So 1/6 is left. Now we need to make that into
a percent by multiplying it by 100 and tacking on a "%"
1/6 � 100
1/6 � 100/1
100/6
50/3
16 2/3 %
So 16 2/3 % of the people in
attendance are neither employees
nor employee's spouses.
Now let's check:
1/2 are employees. That's 50%
1/3 are wmployee's spouses. That's 33 1/3%
15 2/3 % are neither employees nor employee's spouses.
Add them up
50 %
33 1/3 %
16 2/3 %
--------
99 3/3 %
And 99 3/3% = 100%
Step-by-step explanation:
Select the correct shapes.
Select the shapes that are similar to shaoe A
Answer:
A , B and C are similar to each other
Step-by-step explanation:
Please give me branlest
Neil is making colorful friendship bracelets for 6 of his friends. He has all of the colors of
thread he plans to use except for green. If every bracelet uses 22 inches of each color of
thread, how many feet of green thread should Neil buy from the craft store?
Answer:
11 feet(or 132 inches)
Step-by-step explanation:
Since there are 6 bracelets to make, we can multiply 22 and 6 to get 132.
The correct unit / format to answer this is in feet and all we have right now is the amount of inches we must convert.
132 inches converted into feet can be found by dividing by the amount of inches there are in a 1 foot.
Since there are 12 inches in a foot, we can divide 132 by 12 to get 11.
How many hundreds in a billion
Answer:
Step-by-step explanation:
1 one 10 ten 100 hundred 1.000 one thousand 10,000 ten thousand 100,000 hundred thousand 1,000,000 One million 10,000,000 ten million 100,000,000 Hundred million 1,000,000,000 One billion 10,000,000,000 ten billion 100,000,000,000 hundred billion 1,000,000,000,000 one trillion etc.
Answer:
10,000,000
Step-by-step explanation:
HELP ME PLSSSSSsss Solve the following inequality: 5|2x + 4| > -10? Would it be all real numbers....
Answer:
all real numbers
Step-by-step explanation:
5|2x + 4| > -10
Divide by 5
5/5|2x + 4| > -10/5
|2x + 4| > -2
An absolute value is always greater than a negative number so the solution is all real numbers
given
[tex] log(x) = 2 \: and \: log(y) = - 1[/tex]
prove that
[tex]xy - 100y {}^{2} = 9[/tex]
Step-by-step explanation:
[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]
then for y:
[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]
so:
[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]
Tessa bought stock in a restaurant for $178.00. Her stock is now worth $256.32. What is the percentage increase of the value of Tessa‘a stock?
Answer: 44%
Step-by-step explanation:
Cost of stock = 178
Present value = 256.32
Increase in value = 78.32
= 78.32/178 x 100 = 44%
Answer:
44%
Step-by-step explanation:
Well first you have the starting value $178 and the new value $256.32.
So 256.32 - 178 is 78.32.
So our fraction is 78.32/178.
So we divide them which is .44.
And we have to make a percent which is 44%.
Mikes mother took 18 minutes to make 2 bowls of salad. How long would it take to make 7 such bowls of salad?
Answer:
63 minutes or 1 hour 3 minutes
Step-by-step explanation:
We can use ratios to solve
18 minutes x minutes
--------------- = --------------
2 bowls 7 bowls
Using cross products
18*7 = 2x
Divide by 2
18/2 *7 = x
63 minutes
Answer: 63 minutes or 1 hour and 3 minutes
Step-by-step explanation:
18 minutes is how long it takes to make 2 bowls. To find out how long it takes to make 1 bowl, divide by 2.
18 / 2 = 9
Now multiply that by 7 to find out how long it takes to make 7 bowls.
9 * 7 = 63
63 minutes
ASAPPP What is the slope of the line represented by the equation y
3?
-3
4
o
O
The slope of the line represented by this equation is 4/5.
We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).
This equation is in slope-intercept form, or
y = mx + b where m is the slope and b is the y-intercept. The number in the m position in our equation is 4/5, so the slope is 4/5
Hope this helps!
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10. Simplify this expression: 13+ (-12) - (-5) = ?
A.-30
B. -6
C.6
D. 30
Answer:
C
Step-by-step explanation:
Noting that
+ (- ) is equivalent to subtraction
- (- ) is equivalent to addition
Given
13 + (- 12) - (- 5)
= 13 - 12 + 5
= 1 + 5
= 6 → C
Answer:
C) 6
Step-by-step explanation:
13 + (-12) - (-5) = 13 + (-12) + 5
= 1 +5
= 6
13 & (-12 ) have different sign, so subtract and put the sign of the greater number's sign.
Squares and rectangles have the same properties except ANSWERS: A) Opposite angles are congruent. B) Opposite sides are parallel. C) All four sides are congruent. D) Opposite sides are congruent.
Answer: C
Step-by-step explanation:
C) All four sides are congruent
A rectangle does not have all four sides that are congruent to each other (In harmony) however a square does because all it's sides are equal!
A rectangle does not have equal sides, only it's parrel sides are equal to each other.
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Answer:
C. All four sides are congruent
What is the point-slope equation of the line with slope
3/2
that goes through the
point (-3,5)?
Answer:
y-5 = 3/2(x+3)
Step-by-step explanation:
The point slope form of the equation for a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-5 = 3/2(x--3)
y-5 = 3/2(x+3)
Answer:
y-5 = 3/2(x+3)
Step-by-step explanation:
I did ze math
The distance between points (X7, Yı) and (4, 8) is the square root of (x7 - 8)2 +
(1-4)²
A. True
B. False
Answer:
B. False
Step-by-step explanation:
Given
[tex]Points: (x_7 - y_i),(4,8)[/tex]
Required
Is the distance between them [tex]\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}[/tex]
Given that there are two points, the distance between them is calculated using
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this case;
[tex](x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)[/tex]
Substitute these in the given formula
Distance = [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]
Comparing this with the given formula, both are not the same;
Hence, the formula is false and the correct formula is of the form [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]
In the diagram, point P is a point of tangency. Find the radius r of circle O.
Answer:
r = 12
Step-by-step explanation:
From the figure attached,
QP is a tangent to the circle O at the point P.
Therefore, by the property of tangency,
OP ⊥ QP
By applying Pythagoras theorem In right triangle QPO,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(OQ)² = (OP)² + (PQ)²
(25 + r)² = (35)² + r²
625 + r² + 50r = 1225 + r²
50r = 1225 - 625
50r = 600
r = 12
Therefore, r = 12 units is the answer.
Answer:
r=12
Step-by-step explanation:
Rewrite in radical form PLEASE HELP
Answer:
b)7c∛d⁵
or
c) 7c∛d⁵
Both options are the same
Step-by-step explanation:
In the above diagram, we are asked to simplify this:
= ∜c × 2d⁴/³ ×1/2c¾ ×7∛d
Collect the like terms
= ∜c × 1/2c³/⁴ × 2d⁴/³ × 7∛d
= c¹/⁴ × 1/2c³/⁴ × 2d⁴/³ × 7d¹/³
= [1 × 1/2c(¹/⁴ + ³/⁴)] × [2 × 7d(⁴/³ +¹/³)
= 1/2c(¹) × 14d(⁵/³)
= 1/2c× 14d(⁵/³)
Collect the whole number together
= 1/2× 14 [C × d(⁵/³)]
= 7cd⁵/³
Writing it in a radical form
= 7c∛d⁵
4/7 divided by 7/2?????
Answer:
8/49
Step-by-step explanation:
4/7 ÷7/2
Copy dot flip
4/7 * 2/7
Multiply the numerators
4*2 = 8
Multiply the denominators
7*7= 49
numerator over denominator
8/49
Answer: 8/49
Step-by-step explanation: When dividing by a fraction, we can change the division sign to multiplication and flip the second fraction.
So 4/7 ÷ 7/2 means the same thing as 4/7 · 2/7.
So when dividing by a fraction, we can just multiply by the
reciprocal of that fraction or that fraction flipped.
Now multiply across the numerators
and denominators to get 8/49.
Since 8/49 is in lowest terms, it's our final answer.
Solve the formula 27a+1/2b=4 for a.
Answer:
a = 4/27 - b/54
Step-by-step explanation:
27a+1/2b=4
Subtract 1/2 b from each side
27a+1/2b - 1/2 b=4-1/2 b
27a = 4 - 1/2 b
Divide each side by 27
27a/27 = 4/27 - 1/2 b/27
a = 4/27 - b/54
At the sandwich shop, there are 3 different meats and 4 different cheeses from which to choose. How many different sandwiches can be made using one meat and one cheese? A. 2 B. 3 C. 7 D. 12
Answer:
D. 12
Step-by-step explanation:
D. 12 as 4 x 3 = 12
Proof
1 1
1 2
1 3
1 4
2 1
2 2
2 3
2 4
3 1
3 2
3 3
3 4
Sandwiches = 12
Answer:
12
Step-by-step explanation:
4*2=12
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Which coordinate pair is a solution of the linear
equation below?
5x – 3y = -21
Click on the correct answer.
(9,-8)
(-9,-8)
(-9,8)
Answer:
5x - 3y = -21
5x - 3y
= 5(-9) - 3(-8)
= -45 + 24
= -21
the answer is (-9,-8)
Eva invested $10,000 in a savings account. If the interest rate is 3.5%, how much will be in the account in 10 years by
compounding continuously? Round to the nearest cent.
Answer:
The total in the account after 10 years would be: $14,190.68
Step-by-step explanation:
Recall the formula for continuous compounding:
[tex]A=P\,e^{r\,t}[/tex]
where "A" is the accrued value after t years (what we need to find), "P" is the principal invested (in our case $10,000), "r" is the interest rate in decimal form (in our case r = 0.035), and "t" is the time in years (in our case t = 10). Therefore the formula becomes:
[tex]A=P\,e^{r\,t}\\A=10000\,\,e^{0.035\,*\.10}\\A=14190.68[/tex]
Therefore the total in the account after 10 years would be: $14,190.68