1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elan Coil [88]
3 years ago
8

Let angle 1 and angle 2 be complementary. If má 1 = 4x +3 and m42 = x + 2, find the measure

Mathematics
2 answers:
Andre45 [30]3 years ago
6 0

Answer:

m∠1 = 71°

Step-by-step explanation:

Angle 1 and 2 are complementary, meaning the measures of the two angles add up to 90°.

Set the measures of the two angles equal to 90°

(4x+3)+(x+2)=90\\

Combine like terms

5x+5=90

Solve for x

x=17

Plug the value of 'x' back into the given equation for the measure of angle 1

m

m∠1 = 71°

Stels [109]3 years ago
5 0

Answer:

Step-by-step explanation:

Complimentary angles are two acute angles whose sum is 90 degrees.

Angle 1 = 4x + 3

Angle 2 = x + 2

Since angle 1 and angle 2 are complimentary angles, it means that

4x + 3 + x + 2 = 90

4x + x + 5 = 90

Subtracting 5 from the left hand side and the right hand side of the equation, it becomes

5x + 5 - 5 = 90 - 5

5x = 85

Dividing the left hand side and the right hand side of the equation by 5, it becomes

5x/5 = 85/5

x = 17

The measure of angle 1 would be

4 × 17 + 3 = 68 + 3 = 71 degrees

You might be interested in
Convert 0.78 to percent?​
Olenka [21]
0.78 converted to a percent would be 78%
5 0
3 years ago
One way to recognize a ___ is to look for a line that divides the original image into two congruent parts.
Sphinxa [80]
A because the line of symmetry is where the two parts of the image will meet
5 0
3 years ago
Read 2 more answers
Consider the following number line.
pshichka [43]

Answer:

The choice A

Step-by-step explanation:

B+A=BA+BA+BA=3BA

6 0
3 years ago
(y+1)2_ (x + 2)2 > 1?
WINSTONCH [101]

Answer:

(–2, 6)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Simplify 18.please help
Margarita [4]

Answer:

The third choice

3\sqrt{2}

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • The equation y=5x2+6 is what kind of equation
    13·1 answer
  • Rewrite in simplest radical form
    11·1 answer
  • On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a
    14·2 answers
  • J is 14 less than 22 solve for j
    8·1 answer
  • Y<br><img src="https://tex.z-dn.net/?f=y%20%20%5Cgeqslant%20%20%20-%205x%20%2B%20%203" id="TexFormula1" title="y \geqslant -
    7·1 answer
  • The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. H
    12·1 answer
  • ___% of 40 = 4<br><br><br> Please help this answer is timed!!!
    7·2 answers
  • Determine the measure of an angle that is three-fourths of a full turn.
    10·1 answer
  • What is 48 square feet in square meters
    10·1 answer
  • Determine whether each set of side lengths could be the sides of a right triangle.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!