All categories

3 years ago

Find the value of x.

Mathematics

1 answer:

Leona [35]3 years ago

5 0

Answer:

$\boxed{\text{\sf \Large 3}}$

Step-by-step explanation:

Angles in a triangle add up to 180°

$180-(24x+3+25x)$

$-49x+177$

Angles on a straight line add up to 180°

$-49x+177+150=180$

$x=3$

You might be interested in

If you wanted to know the difference between the highest paid employee and the lowest paid employee, would you look at the mean,

katovenus [111]

You would use mean.

5 0

3 years ago

The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 -57, where t is the time

cupoosta [38]

A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?

Answer:

$1\leq t\geq \sqrt{2}$

Step-by-step explanation:

Given:

A stuntman jumping off a 20-m-high building is modeled by the equation

$h =20-5t^{2}$ -----------(1)

A high-speed camera is ready to making film between 15 m and 10 m above the ground

when the stuntman is 15m above the ground.

height $h = 15m$

Put height value in equation 1

$15 =20-5t^{2}$

$5t^{2} =20-15$

$5t^{2} =5$

$t^{2} =1$

$t =\pm1$

We know that the time is always positive, therefore $t=1$

when the stuntman is 10m above the ground.

height $h = 10m$

Put height value in equation 1

$10 =20-5t^{2}$

$5t^{2} =20-10$

$5t^{2} =10$

$t^{2} =\frac{10}{5}$

$t^{2} =2$

$t=\pm\sqrt{2}$

$t=\sqrt{2}$

Therefore ,time interval of camera film him is $1\leq t\geq \sqrt{2}$

7 0

3 years ago

At the local animal shelter, there are 35 cats and 42 dogs. What is the ratio of dogs to cats at the local animal shelter?

postnew [5]

9514 1404 393

Answer:

6 : 5

Step-by-step explanation:

The ratio is ...

dogs : cats = 42 : 35 = (7·6) : (7·5) = 6 : 5

The ratio of dogs to cats at the shelter is 6 to 5.

6 0

3 years ago

What is compression

zysi [14]

Answer:

the action of compressing or being compressed.

the reduction in volume (causing an increase in pressure) of the fuel mixture in an internal combustion engine before ignition.

Step-by-step explanation:

corona is real

7 0

3 years ago

You recently purchased a new snowboard for the upcoming winter. The board, with bindings, came out to be $315.32. You were told

gizmo_the_mogwai [7]

First the original price is reduced by 15%
assume the original price is x
100%-15%=85%..u r left with 85% of the price
thus,85/100 multiply x
the reduced price is reduced again by 5%
so,95/100 ×(85/100 x)=$315.32
find x
323/400 x =$315.32
×=$390.49

7 0

3 years ago

Find the value of x.​

Find the value of x.