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2 years ago

Please help, seventh grade math problem

Mathematics

1 answer:

user100 [1]2 years ago

7 0

Answer:

Step-by-step explanation:

divide into two shapes. the first one being 2 x 4 units and the second being 2 x 2.

2 x 4 = 8

2 x 2 = 4

8 + 4 = 12

The answer is 12 square units.

Please mark brainliest if it was correct and helped!

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ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.

Travka [436]

Answer: m∠CAD = 81°

Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.

ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.

The figure below shows ABCD with its diagonals.

Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So

m∠BAC = m∠CAD

4x + 5 = 5x - 14

x = 19

Then, m∠CAD is

m∠CAD = 5(19) - 14

m∠CAD = 81

The angle m∠CAD is 81°.

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Given the recursive formula, each terms is five time the previous one.

This means that:

$f(6)$ is 5 times $f(5)$ , which means $f(6)=5f(5)$
in turn, $f(5)$ is 5 times $f(4)$ , so we have $f(5)=5f(4)$ . This means that $f(6)=5f(5)=5\cdot 5f(4) = 25f(4)$
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