Answer:
A - they are vertical angles so they are equal to each other
b - dont really know this one
c - y=24 and 7 and 8 = 89
Step-by-step explanation:
You messed up because the angles given are not supplementary the angles given that are next to 7 and 8 are vertical then we can setup an equation which would be 5y-29=3y+19 and solve for y
step 1 add 29 to each side
5y=3y+48
step 2 subtract each side by 3y
2y=48
step 3 divide each side by 2
y=24
then we plug in 24 to one of the expressions
5(24)=120
120-19=101
but we are not done yet because it is asking for the value of angle 7 and 8
because angle 7 is supplementary to both all we have to do is subtract 101 from 180
180-101=89 so 7 and 8 =89
hope this helps :D
Answer:
The sides of the original rectangular prism have been increased by a scale factor of 4
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z----> the scale factor
x---> volume of the increased rectangular prism
y---> volume of the original rectangular prism
![z^{3}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B3%7D%3D%5Cfrac%7Bx%7D%7By%7D)
substitute
![z^{3}=\frac{3,456}{54}=64](https://tex.z-dn.net/?f=z%5E%7B3%7D%3D%5Cfrac%7B3%2C456%7D%7B54%7D%3D64)
-----> the scale factor
therefore
The sides of the original rectangular prism have been increased by a scale factor of 4
we are given
Jimmy is trying to escape Jane
For finding total distance , we will find distances and then add them
He runs 12 km/hr for 5 minutes
First distance:
speed =12 kh/hr
time=5 minutes
we can change into hour
![t=\frac{5}{60}hr](https://tex.z-dn.net/?f=%20t%3D%5Cfrac%7B5%7D%7B60%7Dhr%20)
![d_1=s*t](https://tex.z-dn.net/?f=%20d_1%3Ds%2At%20)
now, we can plug values
![d_1=12*\frac{5}{60}](https://tex.z-dn.net/?f=%20d_1%3D12%2A%5Cfrac%7B5%7D%7B60%7D%20)
![d_1=1](https://tex.z-dn.net/?f=%20d_1%3D1%20)
second distance:
speed =17 kh/hr
time=8 minutes
we can change into hour
![t=\frac{8}{60}hr](https://tex.z-dn.net/?f=%20t%3D%5Cfrac%7B8%7D%7B60%7Dhr%20)
![d_2=s*t](https://tex.z-dn.net/?f=%20d_2%3Ds%2At%20)
now, we can plug values
![d_2=17*\frac{8}{60}](https://tex.z-dn.net/?f=%20d_2%3D17%2A%5Cfrac%7B8%7D%7B60%7D%20)
![d_2=2.26667](https://tex.z-dn.net/?f=%20d_2%3D2.26667%20)
third distance:
speed =6 kh/hr
time=2 minutes
we can change into hour
![t=\frac{2}{60}hr](https://tex.z-dn.net/?f=%20t%3D%5Cfrac%7B2%7D%7B60%7Dhr%20)
![d_2=s*t](https://tex.z-dn.net/?f=%20d_2%3Ds%2At%20)
now, we can plug values
![d_3=6*\frac{2}{60}](https://tex.z-dn.net/?f=%20d_3%3D6%2A%5Cfrac%7B2%7D%7B60%7D%20)
![d_3=0.2](https://tex.z-dn.net/?f=%20d_3%3D0.2%20)
now, we can find total distance
![d=d_1+d_2+d_3](https://tex.z-dn.net/?f=%20d%3Dd_1%2Bd_2%2Bd_3%20)
![d=1+2.26667+0.2](https://tex.z-dn.net/?f=%20d%3D1%2B2.26667%2B0.2%20)
![d=3.46667](https://tex.z-dn.net/?f=%20d%3D3.46667%20)
so,
total distance is 3.46667 km...........Answer
Answer:
1/4 chance (this is equal to 25% as a percentage or 0.25 as a decimal)
Step-by-step explanation:
There are 4 balls and only one can be first. As there is only 1 yellow ball, there is 1/4 chance that the yellow ball is picked first.
Answer:
x = 50
Step-by-step explanation:
55 degrees + (2x + 25) degrees = 180 degrees
55 + 25 + 2x = 180
80 + 2x = 180
2x = 100
x = 50