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fomenos
3 years ago
15

How would you solve this problem?

Mathematics
2 answers:
larisa [96]3 years ago
8 0

Answer:

47 degrees

Step-by-step explanation:

Due to the Exterior Angle Theorem, you know that the exterior angle is equal to the sum of the opposite two interior angles:

2x-2=x+45\\x=47

vfiekz [6]3 years ago
4 0

Answer:

x = 47

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles for a triangle

2x-2   = x + 45

Subtract x from each side

2x-2 -x = x+45-x

x-2 = 45

Add 2 to each side

x-2 +2 = 45+2

x = 47

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DENIUS [597]
3\frac{1}{5}-1\frac{3}{10}=p+\frac{5}{6}\\\\3\frac{2}{10}-1\frac{3}{10}-\frac{5}{6}=p\\\\p=2\frac{12}{10}-1\frac{3}{10}-\frac{5}{6}\\\\p=1\frac{9}{10}-\frac{5}{6}\\\\p=1\frac{27}{30}-\frac{25}{30}\\\\p=1\frac{2}{30}\\\\p=1\frac{1}{15}
6 0
3 years ago
Read 2 more answers
4x – 8(2 - x) when x = 1/4?
Hitman42 [59]

Answer: -13

Step-by-step explanation:

= 4*(1/4) - 8(2-1/4)

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6 0
3 years ago
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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°.

7 0
3 years ago
Guy ran at 13 km/hr. what was guys speed in MPH?
Assoli18 [71]

The guy ran at a speed of 8.07783 MPH

Here's how I got my answer:

1 km/hr. = 0.621371

So, if you do 0.621371 * 13 you will get your answer: 8.07783 MPH

7 0
3 years ago
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3(x-4)= -5 slove for x
suter [353]
<span>3(x-4)= -5
Multiply 3 by x and -4
3x-12= -5
Add 12 to both sides
3x= 7
Divide 3 on both sides
Final Answer: 7/3 or 2 1/3
</span>
5 0
3 years ago
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