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1 year ago

An angle measures 2° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics

1 answer:

Ahat [919]1 year ago

6 0

Answer:

angle: 44°

complementary angle: 46°

Step-by-step explanation:

Complementary angles have a sum of 90°. We can use this relation and the one given to write equations for the angles of interest.

<h3>setup</h3>

Let 'a' and 'c' represent the angle and its complement, respectively.

a = c -2 . . . . . an angle is 2° less than its complement

a +c = 90 . . . . complementary angles total 90°

<h3>solution</h3>

Using the first equation to substitute for 'a' in the second, we have ...

(c -2) +c = 90

2c = 92 . . . . . . add 2, collect terms

c = 46 . . . . . . . divide by 2

a = 46 -2 = 44 . . . . find 'a' using the first equation

The angle is 44°; its complement is 46°.

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Y varies directly as x. Y=42 when x=6. Find the value of y when x =15.

pentagon [3]

Answer:

y=120

Step-by-step explanation:

Y varies directly as x is written as

$y \alpha x$

introducing a constant

y=kx

from the question, when y=48, x=6

substitute it in the formula

48=6k

making k the subject by dividing through by 6

$\frac{48}{6} = \frac{6k}{6}$

k=48/6

k=8

put the value of k in the expression y=kx

y=8x

from the question,the value of y when x=15 is given by

y=8×15

y=120.

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2 years ago

As part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at rando

Inga [223]

Answer:

Option a is right

Step-by-step explanation:

Given that as part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at random concerning their monthly credit card balance.

Sample average = 2573

Variance = 4252

Sample size = 35

STd deviation of X = $\sqrt{4252} \\=65.21$

Score of student selected at random X=1700

Corresponding Z score = $\frac{1700-2573}{65.201} \\=-13.38$

Rounding of we get Z score = -13.4

option a is right

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3 years ago

Tammy has 4 times as many books as Willy . Willy has 180 fewer books than Tammy . How many books does Willy have ?

enyata [817]

Answer:

60 books

Step-by-step explanation:

let the number of books Willy has be x , then

Tammy has 4x books

Willy has 180 fewer books , that is Tammy has 180 more than Willy , so

4x = x + 180 ( subtract x from both sides )

3x = 180 ( divide both sides by 3 )

x = 60

Thus

Willy has 60 books andTammy has 4 × 60 = 240 books

which is 180 more than Willy

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1 year ago

The length of a rectangle is 3 yd longer than its width if the perimeter is 42 yd find the area

pogonyaev

14 yd

$42 \div 3$

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2 years ago

The measures of the angles in an equilateral triangle are equal.

max2010maxim [7]

Answer:

C. 60°

Step-by-step explanation:

because all angles in a triangle sum up to 180°

60°+60°+60°=180°

4 0

2 years ago