All categories

3 years ago

The difference in the measures of two complementary angles is 42 . Find the measures of the angles.

Mathematics

1 answer:

Naya [18.7K]3 years ago

8 0

Answer:

The angles are 24° and 66°.

Step-by-step explanation:

Let two angles be x and y.

For two complementary angles,

x+y = 90 ...(1)

ATQ,

x-y = 42 ...(2)

We need to find the measures of the angles.

Add equation (1) and (2).

x+y+x-y = 90+42

2x = 132

x = 66

Put the value of x in equation (1)

66+y = 90

y = 90-66

y = 24

So, the angles are 24° and 66°.

You might be interested in

Which justification describes the process?

tester [92]

Answer:

Option 1 - Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation.

Step-by-step explanation:

Given : Process

Step 1: 4x + 2 = 10

Step 2: 4x = 8

To find : Which justification describes the process?

Solution :

From step 1 to step 2, we subtract 2 both sides

Step 1: 4x + 2 = 10

Subtracting 2 both side,

⇒ 4x + 2-2 = 10-2

Step 2: 4x = 8

So, The best justification is 'Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation'.

Therefore, Option 1 is correct.

4 0

3 years ago

Read 2 more answers

In a bag of marbles, 6 are blue. The probability of picking out a blue marble from the bag is 3/5. How many marbles are in the b

postnew [5]

Answer: 3/5 = (6/10). There are 10 TOTAL marbles in the bag.

Step-by-step explanation:

Since it is a question of fractions, you can assume any reasonable number and work with the numbers. We know initially that there are 6 marbles and they are ALL blue and the rest are another color or colors. So BLUE = 6/10 and the other colors 4/10 for 2/5.

6 0

3 years ago

Consider the following system of equations. StartLayout Enlarged left-brace 1st row negative 10 x squared minus 10 y squared = n

ziro4ka [17]

These 2 equations has no solution and the equations are independent of each other.

Step-by-step explanation:

-10x² -10y² = -300 ----a

5x² + 5y² = 150 ---- b

While trying to solve this,

We can multiply the eq. b by 2 so we will get eq. c and then add to eq. a we will get 0 as the solution.

10x² + 10y² = 300 ----c

-10x² -10y² = -300 ---a

Everything cutoff, we will get 0, and there is no solution to these equations.

4 0

3 years ago

Read 2 more answers

Find the slope. (-4, 10) (8, - 2)

s344n2d4d5 [400]

Answer:

is the slop in slope intercept form2=-2x

Step-by-step explanation:

-2--4

8- 10

2=-2x

5 0

2 years ago

Choose all the functions that give the sequence:

TEA [102]

Hence, the functions that produce given sequence are:

f(n) = 2n + 1

f(n) = 2(n − 1) + 3

Further explanation:

We will put n=1,2,3,4,5 to find which functions give the given sequence

f(n) = 2n − 1

Putting values of n

$f(1)=2(1)-1=2-1=1\\f(2)=2(2)-1=4-1=3\\f(3)=2(3)-1=6-1=5$

This function doesn't generate the given sequence

f(n) = 2n + 1

Putting values of n

$f(1)=2(1)+1=2+1=3\\f(2)=2(2)+1=4+1=5\\f(3)=2(3)+1=6+1=7\\f(4)=2(4)+1=8+1=9\\f(5)=2(5)+1=10+1=11$

This function generates the given sequence.

f(n) = 2(n − 1) − 3

Putting values of n

$f(1) = 2(1 -1) -3=2(0)-3=0-3=-3\\f(2) = 2(2 -1) -3=2(1)-3=2-3=-1\\f(3) = 2(3-1) -3=2(2)-3=4-3=1$

This function doesn't generate the given sequence

f(n) = 2(n − 1) + 3

Putting values of n

$f(1) = 2(1 - 1) + 3=2(0)+3=0+3=3\\f(2) = 2(2 - 1) + 3=2(1)+3=2+3=5\\f(3) = 2(3 - 1) + 3=2(2)+3=4+3=7\\f(4) = 2(4 - 1) + 3=2(3)+3=6+3=9$

Hence, the functions that produce given sequence are:

f(n) = 2n + 1

f(n) = 2(n − 1) + 3

Keywords: Functions, Sequence

Learn more about functions at:

#LearnwithBrainly

8 0

3 years ago