All categories

2 years ago

How do I solve this?

Mathematics

1 answer:

Korvikt [17]2 years ago

5 0

The interior angles of any triangle always sum to 180°.

In the triangle, angles C and D are labeled congruent, so the missing angle has measure

180° - 2 (6x - 5)°

This angle is supplementary to the one labeled (11x + 1)°, which means

180° = (11x + 1)° + (180° - 2 (6x - 5)°)

Solve for x :

180° = (11x + 1)° + 180° - 2 (6x - 5)°

0 = (11x + 1)° - 2 (6x - 5)°

0 = (11x)° + 1° - (12x)° + 10°

(12x - 11x)° = 1° + 10°

x° = 11°

x = 11

You might be interested in

Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a

Degger [83]

Answer:

The total price of $4\frac{1}{2}$ pounds of apples is $6.48.

Step-by-step explanation:

Given:

Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a 10% discount.

Now, to find the total price of 4 1/2 pounds of apples this week at the grocery store.

The price of apples at a grocery store last week was = $1.60 per pound.

This week apples at the same grocery store is on sale of 10% discount.

Thus, the price of apples at a grocery store this week is:

$1.60-10\%\ of\ 1.60.$

$=1.60-\frac{10}{100} \times 1.60$

$=1.60-0.16$

$=\$1.44.$

So, the price of apples per pound this week is $1.44.

Now, to get the total price of $4\frac{1}{2}$ pounds of apples by using unitary method:

If 1 pound of apples cost = $1.44.$

Then, $\frac{9}{2}$ pound of apples cost = $1.44\times \frac{9}{2}$

$=1.44\times 4.5$

$=\$6.48.$

Therefore, the total price of $4\frac{1}{2}$ pounds of apples is $6.48.

4 0

3 years ago

2) A gym charges a $30 membership fee and $10 per month. Write an

kari74 [83]

C = 10m + 30, where C is total cost and m is # of months

C = 10(5) + 30

C = 50 + 30

C = $80

$160 = 10m + 30

160 - 30 = 10m

130/10 = m

m = 13 months

Hope that helps

5 0

3 years ago

What is -10m - 6m -8 -6m

WINSTONCH [101]

-10m - 6m -8 -6m = −22m −8

7 0

3 years ago

Which of the following equations has the given solution set?

tester [92]

-2m + 5 = 2m + 5
2m + 2m = 5 - 5
4m = 0
m = 0

-2m + 5 = -2m + 5
-2m + 2m = 5 - 5
0 = 0

-2m + 5 = -2m - 5
-2m + 2m = 5 + 5
0 = 10
Solution set is Ф
The third equation is the correct answer.

8 0

3 years ago

Kamrynn is looking at her five quiz scores of 96 90 94 93 and 90. Determine the mean rounded to the nearest tenth median mode an

Romashka [77]

Answer:

Mean = 90, Median = 93, Mode = 90, Range = 6

Step-by-step explanation:

Mean:

96 + 90 + 94 + 93 + 90 = 463

463 ÷ 5 = 92.5

92.5 to nearest tenth = 90

Mean = 90

Median:

90, 90, 93, 94 ,96

Median = 93

Mode

96, 90, 94, 93, 90

Mode = 90

Range:

96 - 90 = 6

Range = 6

8 0

2 years ago