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Vladimir [108]
4 years ago
15

When angles are complementary the sum of their measures is 90 degrees. Two complementary angles have measured of 2x-10 degrees a

nd 3x-10. Fine the measures of each angle
Mathematics
1 answer:
Vinvika [58]4 years ago
3 0

56° and 34°

complementary angles sum to 90° thus

3x - 10 + 2x - 10 = 90

5x - 20 = 90

add 20 to both sides of the equation

5x = 90 + 20 = 110

divide both sides by 5

x = \frac{110}{5} = 22

angle 2x - 10 = (2 × 22) - 10 = 44 - 10 = 34° and

angle 3x - 10 = (3 × 22) - 10 = 66 - 10 = 56°


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Artem drives 12.6 miles in 12 minutes.
Anvisha [2.4K]

Answer:

18 mph

Step-by-step explanation:

12.6 × 5 =68.0. 68 - 50 = 18

5 0
3 years ago
Adm,Ming,and Clinton sold sandwiches in the ratio 4:7:3 to raise money for their scout troop.Ming sold 91 sandwiches. How may sa
bonufazy [111]
The ratio in which Adm, Ming and Clinton sold sandwiches = 4:7:3
Number of sandwiches sold by Ming = 91
Let us assume the common ratio to be = x
Then
7x = 91
x = 91/7
  = 13
Then
The number of sandwiches sold by Adm = 4 * 13
                                                                   = 52
The number of sandwiches sold by Clinton = 3 * 13
                                                                      = 39
So
The total number of sandwiches
 sold by Adm, Ming and Clinton = 52 + 91 + 39
                                                  = 182.
So a total of 182 sandwiches were sold by Adm, Ming and Clinton.
 
7 0
4 years ago
In the past, 75% or less of the tourists who visited Tacoma went to see the glass blowing museum. The management of the museum r
Alex787 [66]

Answer:

H0 : p ≤ 0.75   against Ha : p > 0.75

Step-by-step explanation:

We formulate our null and alter native hypotheses as

H0 : p ≤ 0.75   against Ha : p > 0.75

In the question the claim whether the promotional campaign actually increased the proportion of tourists visiting the museum is given which is formulated as alternative hypothesis.

So when we formulate the alternative hypothesis as Ha : p> 0.75 the null hypothesis is H0 p ≤ 0.75

Where p is the probability = 75% = 75/100 = 0.75

5 0
4 years ago
Need help solving for x, look at image above
maw [93]

Answer:

x = 1.2

Step-by-step explanation:

We can use a ratio to solve since they are similar triangles

6        (6+4)

----- = ---------

x             2

Using cross products

6*2 = (6+4)*x

12 = 10x

Divide by 10

12/10 = x

1.2 =x

7 0
3 years ago
Read 2 more answers
Sarina made a mistake when she wrote the word form of the number 519,742 below. Find the incorrect term in her work. Then type t
Kamila [148]

Answer:

The correct form of 519,742 in words

=Five hundred nineteen thousand, seven hundred forty-two

Step-by-step explanation:

The number = 519,742

What Sarina write as the word form

=Five hundred ninety thousand, seven hundred fforty-two

Translation of what sarina wrote in numbers= 590,742

So the mistake is that she wrote Five hundred ninety instead of five hundred and nineteen

The correct form of 519,742 in words

=Five hundred nineteen thousand, seven hundred fforty-two

3 0
3 years ago
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