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laiz [17]
3 years ago
9

Find the measures of the complementary angles that satisfy each case. One of the angles is 3 times larger than the other.

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer:

22.5° and 67.5°

Step-by-step explanation:

The sum of complementary angles equal 90°.

Given that one of the complementary angles is 3 times larger than the other, let "x" represent the other angle.

Thus, the following expression can be written to represent this case:

x + 3x = 90

Solve for x

4x = 90

Divide both sides by 4

\frac{4x}{4} = \frac{90}{4}

x = 22.5

The measure of the complementary angles are:

x = 22.5°

3x = 3(22.5) = 67.5°

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Write an equation of a line that is perpendicular to y = 2/3 x + 8 and has a y-intercept of
Otrada [13]

Answer:

y = -3/2x + 2

Step-by-step explanation:

Since you know it has a point at (0, 2) - the y intercept, put those values into the equation and solve. To be perpendicular it seems the reciprocal of the slope with the opposite sign, so 2/3 is the original slope, and -3/2 becomes the new slope.

y = 2/3x + 8 becomes

2 = -3/2(0) + b  We substitute in the x and y values, but we have to figure out what the last number will be.

2 = 0 + b

b = 2

So put the whole equation together

y = -3/2x + 2

3 0
2 years ago
Answer me if you need a friend<br><br> Also 5x+25=35<br><br> x=
STALIN [3.7K]

Answer:

x = 2

Step-by-step explanation:

You are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

First, subtract 25 from both sides of the equation:

5x + 25 (-25) = 35 (-25)

5x = 35 - 25

5x = 10

Isolate the variable, x. Divide 5 from both sides:

(5x)/5 = (10)/5

x = 10/5

x = 2

x = 2 is your answer.

~

5 0
3 years ago
Please solve this with the steps.
bija089 [108]
Subtract 9/4 from both sides
3/4x=6 3/4
Multiply them by 4/3
X=9
5 0
3 years ago
Read 2 more answers
Xavier runs 0.75 miles each day .How far has he won at the end of 6 days?
Elanso [62]

Answer:

4.5 miles

Step-by-step explanation:

You times .75 and 6 and you should get 4.5 miles

6 0
3 years ago
Read 2 more answers
What is the value of 6x squared+ 4x + 8 when x=7? Please answer this I really need help!
stealth61 [152]
Let’s write it simply, that helps us solve it easier.
6x^2+4x+8
Now, insert 7 in place of x.
6(7)^2+4(7)+8
Now, multiply.
42^2+28+8
Solve for exponents.
1,764+28+8
Add.
1,792+8
1,800
Hope this helps!
3 0
3 years ago
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