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1 year ago

Please help couldn't solve this either help very needed !!

Mathematics

1 answer:

vazorg [7]1 year ago

3 0

Answer: $36^{\circ}$

Step-by-step explanation:

By the corresponding angles theorem,

$5x+1=8x-20\\1=3x-20\\21=3x\\x=7\\\\m\angle 2=8(7)-20=\boxed{36^{\circ}}$

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Divide $210 in the ratio 2:5

RideAnS [48]

Let us say Karen received X amount of money. Then Natasha has received (X+210).
The ratio that the money divided was 2:5.
X/(X+210) = 2/5
5X = 2(X+210)
3X = 420
X = 140
Total money shared
= X+(X+210)
= 140+140+210
= 490

So the total money shared was $490.

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2 years ago

A square pyramid and a cube have the same surface area don’t of each side of the base of the Square pyramid is 10 feet the width

o-na [289]

Answer:

The lateral height of the square pyramid is $5.8\ ft$

Step-by-step explanation:

step 1

Find the surface area of the cube

The surface area of the cube is equal to

$SA=6b^{2}$

where

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w have

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substitute

$SA=6(6^{2})=216\ ft^{2}$

step 2

Find the lateral height of the square pyramid

we know that

the surface area of the square pyramid is equal to

$SA=B+4(\frac{1}{2}bh)$

where

B is the area of the base

b is the base of the lateral triangle (base of the square)

h is the lateral height of the square pyramid

$B=(10^{2})=100\ ft^{2}$

$SA=216\ ft^{2}$ -----> is the same surface that the cube

$b=10\ ft$

substitute the values and solve for h

$216=100+4(\frac{1}{2}*(10)*h)$

$216-100=20h$

$h=116/20=5.8\ ft$

6 0

2 years ago

Solve this quadratic equation using the quadratic formula. x^2 - 6x + 6 = 0

maks197457 [2]

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3 years ago

Jacob drive for 4 hours at 23 miles per hour, how far did he travel?

RideAnS [48]

4 x 23 = 92 miles

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Pavel [41]

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2 years ago