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pav-90 [236]
2 years ago
8

In a right triangle, the measure of one acute angle is twice the sum of the measure of the other acute angle and 30. Find the me

asure of each acute angle in the triangle
Mathematics
2 answers:
scZoUnD [109]2 years ago
7 0

Answer:

20, 70

Step-by-step explanation:

Let x = measure of first angle

then 2x + 30 = measure of second angle

The measures of the acute angles of a right triangle is 90.

So x + 2x + 30 = 90

3x + 30 = 90

3x = 60

x = 20

90 - 20 = 70

Alja [10]2 years ago
5 0

Answer:

Step-by-step explanation:

if we have a right triangle,

one angle=90

180-90=90

let x be one angle, and y another angle

the other is 2x+30

x+2x+30=90

3x=60

x=20

y=70

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A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair. This situation can be de
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Answer:

b = 40

Step-by-step explanation:

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.

This situation can be described by an equation of the form y=mx+b , where

x = the time in hours

y = the cost in dollars.

What is the value of b in this equation?

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair

Writing the above in an equation =

y = $70 × x + $40

y = 70x + 40

Therefore, the value of b in the expression = 40

3 0
2 years ago
Determine the next step for solving the quadratic equation by completing the square.
Studentka2010 [4]

Answer:

The solutions are x=\frac{1+\sqrt{7}}{2} and x=\frac{1-\sqrt{7}}{2}

Step-by-step explanation:

we have

0=-2x^{2}+2x+3

Group terms that contain the same variable, and move the constant to the opposite side of the equation

-3=-2x^{2}+2x

Factor the leading coefficient

-3=-2(x^{2}-x)

Complete the square. Remember to balance the equation by adding the same constants to each side.

-3-0.5=-2(x^{2}-x+0.5^{2})

-3.5=-2(x^{2}-x+0.5^{2})

Rewrite as perfect squares

-3.5=-2(x-0.5)^{2}

7/4=(x-0.5)^{2}

square root both sides

x-0.5=(+/-)\sqrt{\frac{7}{4}}

x-\frac{1}{2}=(+/-)\frac{\sqrt{7}}{2}

x=\frac{1}{2}(+/-)\frac{\sqrt{7}}{2}

x=\frac{1+\sqrt{7}}{2}

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4 0
3 years ago
The graph provided show the volume (in cubic inches) of air in a balloon as it chang
drek231 [11]

The volume of the balloon is 500 cubic inches after 20 seconds

<h3>How to determine the volume?</h3>

From the given graph, we have:

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Also from the graph, we have:

V(20) = 500

This means that:

The volume of the balloon is 500 cubic inches after 20 seconds

Read more about graphs at:

brainly.com/question/4025726

#SPJ1

5 0
1 year ago
What part of 72 is 12? Without decimals.
Naya [18.7K]
1/6 part of 72 is 12
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2 years ago
HELP ASAP RN 10 POINTS AND BRAINLIEST TO WHOEVER DOES IT CORECTLY The cost to rent a bicycle at Freewheels is $10 plus an hourly
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Answer:

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that is the correct answer! hope this helped!  

6 0
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