All categories

3 years ago

PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE ヽ( 'ω' )ﾉ

Mathematics

1 answer:

loris [4]3 years ago

5 0

Answer:

∠x = 80°

∠y = 140°

∠z = 20°

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

the measure of third angle = the sum of the interior angles - the sum of two angles

x = 180 - (60 + 40) = 80

∠x = 80°

the measure of 40 and ∠y are on the straight line and they are both equal 180°

then to find the value of y = 180 - 40

y = 180 - 40 = 140

∠y = 140°

z = 180 - (140 + 20) = 20

∠z = 20°

You might be interested in

Use mental math to solve the equation w - (-3) = 7 please help

tester [92]

w-(-3)=7

Pretend that there is a -1 in front of the bracket

w-1(-3)=7

Mutiply the bracket by -1

(-1)(-3)=3

w+3=7

Move +3 to the other side. Sign changes from +3 to -3.

w+3-3=7-3

w=4

Answer: w=4

8 0

3 years ago

‼️GEOMETRY‼️

ella [17]

Answer:

A.) 1018 square inches

Step-by-step explanation:

The largest sphere will have a diameter equaling the length of the cube (see picture).

If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:

$SA=4\pi r^2$

For this formula, we need the radius of the sphere. Divide the diameter by 2:

$\frac{18}{2}=9$

The radius is 9 inches. Plug this into the equation:

$SA=4\pi *9^2$

Simplify the equation:

$SA=4\pi *81\\\\SA=324\pi \\\\SA=1017.87$

Round the result to the nearest whole number:

$1017.87$ → $1018$

The surface area is 1,018 inches².

:Done

Picture:

In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.

6 0

2 years ago

the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms

Travka [436]

Answer:

$S_5=\dfrac{170}{9}$

Step-by-step explanation:

Given that,

The sum of first n term of a sequence is $S_n=20-\dfrac{10}{2n-1}$

We need to find the sum of the first 5 terms.

Put n = 5,

$S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}$

So, the sum of first 5 terms is equal to $\dfrac{170}{9}$ .

6 0

2 years ago

HURRY PLS I NEED IT<br> What is the purpose of apportionment? (its ideal, value, or vision)

EleoNora [17]

Answer:

An apportionment is the allocation of a loss between all of the insurance companies that insure a piece of property. This allocation is used to determine a percentage of liability for each insurer.

I'm new here! Sorry if this didn't help

4 0

3 years ago

.Joline collects hockey cards.

shusha [124]

Answer:

25 Cards

Step-by-step explanation:

If 5 cards is 20% and you only need 5 more then that means you have the other 80%. So you 20 80/20 which is 4. Then do 4x5=20 then add the 5 you still need.

3 0

3 years ago