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SVETLANKA909090 [29]
3 years ago
6

Find the measure of the missing angles.

Mathematics
1 answer:
Yuri [45]3 years ago
3 0

Answer:

d = 102° , e = 56° , f = 22°

Step-by-step explanation:

d and 102° are vertically opposite angles and congruent , so

d = 102°

e and 56° are vertically opposite angles and are congruent , so

e = 56°

f, d and e lie on a straight line and sum to 180° , then

f + d + e = 180° , that is

f + 102° + 56° = 180°

f + 158° = 180° ( subtract 158° from both sides )

f = 22°

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Marrrta [24]

Answer:

h = -9

Step-by-step explanation:

Simplifying

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Reorder the terms:

22 + 5h + -2h = -5

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Solving

22 + 3h = -5

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '-22' to each side of the equation.

22 + -22 + 3h = -5 + -22

Combine like terms: 22 + -22 = 0

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The sum of two numbers is negative fifteen, and one number is five less than the other. Using the variables m and n to represent
Likurg_2 [28]

We need to use the variables m and n to represent both numbers.

Their sum must equal -15. Therefore, we can write the next equation:

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If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:

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To find the value for each number, we can replace the n equation on the first equation:

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The equations separated by a comma are m + n = -15,n = m-5.

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