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2 years ago

HELP

Mathematics

1 answer:

Brut [27]2 years ago

4 0

Answer:

1) m<1 = 25

2) m<4 = 155

3) m< 5 = 25

4) m<7 = 25

5) 110

6) 30.5

7) 74

Step-by-step explanation:

x + 155 = 180

x = 25

<4 = 155 because of vertical angle thm

<5 = 25 (congruent to <1) b/c of corresponding angles thm

<7 = <5 (25) because of vertical angles thm

5x + 15 = 8x - 42

-3x = -57

x = 19

5(x) + 15

5(19) + 15 = 110

180 - 110 = 70

3x + x + 4 + 70 = 180

4x + 74 = 180

4x = 106

x = 26.5

x+ 4 = 30.5

180 - 115 = 65

x + 4 + 2x + 65 = 180

3x + 69 = 180

3x = 111

x = 37

2x = 74

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Suppose EG=3, EB=8, A(F)=7, m∠EBG=23, m∠EGF=32, and m∠CAE=51. Find m∠CAF.

ASHA 777 [7]

Answer:

m∠CAF is 28°

Step-by-step explanation:

The given parameters are;

EG = 3, EB = 8, A_F = 7, m∠EBG = 23°, ∠EGF 32°, and m∠CAE = 51°

From the diagram, we have;

m∠EBG = m∠EAD ; ${}$ Given

Therefore, m∠EAD = 23°

m∠CAE = m∠CAF + m∠EAD ${}$ Angle addition postulate

Therefore, we have;

51° = m∠CAF + 23° ${}$

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3 years ago

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3 years ago

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Step-by-step explanation:

<h3>✞︎Given</h3>

5(3-x)+1=3(x+4)

Solve Equation

<h3>✞︎Solution</h3>

$\tt\large\underline{15-5x+1=3x+12}$

$\large{✰} \bf \underline\color{purple}{16-5x=3x+12}$

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Hitman42 [59]

Answer:

The constant in the algebraic expression to represent the pattern below is 4.

Step-by-step explanation:

Imortant Tip:

An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent terms

Given the pattern

$15,11,7,3,-1,...$

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