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
mars1129 [50]
3 years ago
15

Pls help me!! this is for a study guide :)

Mathematics
1 answer:
inn [45]3 years ago
6 0

Answer:

x° = 149°

Step-by-step explanation:

According to the <u>Triangle Sum Theorem</u>, the sum of the measures of the angles in every triangle is 180°. Since we are given two angles with measures of m < 86° and m < 63°, then the third angle must be:

m < 86° + m < 63° + m < (angle 3) = 180°

149° + m < ? = 180°

Subtract 149° from both sides to solve for m < (angle 3)

149° - 149° + m < (angle 3)   = 180° - 149°

m < ?   = 31°

Therefore, the measure of the third angle is 31°.

To find x°, we can reference the <u>Triangle Exterior Angle Postulate</u>, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

In other words, the measure of x° = m < 86° + m < 63°

x° = 149°

By the way, m< (angle 3) and x° are also supplementary angles whose sum equal 180°:

x° + m < (angle 3) = 180°

149° +  31° = 180°

You might be interested in
Tickets for a concert cost $8 online plus a $3
mash [69]

Answer:

3 tickets

Step-by-step explanation:

8x+3 = 9x

x = 3

6 0
2 years ago
I NEED HELP IM BEGGING YOU????:) Write the slope-intercept form of the equation for the line.
iogann1982 [59]
It’s d because the slope is negative and it is 2/1 which can also be written as just 2. in the formula y=mx+b, m is the slope and b is the y-intercept. the y-intercept is where the line touches the y axis(in this case -1) so it would be written as y=2x+(-1)
8 0
3 years ago
I only need 12 13 14
Ulleksa [173]
There isn’t any picture you may have to repost
8 0
2 years ago
Read 2 more answers
The two triangles below are similar.
umka2103 [35]
I have a picture of the work for it but I don’t know how to upload it I can put a file maybe!
3 0
2 years ago
Prove that 3(x+1)(x+7)-(2x+5)² is never positive
scZoUnD [109]

Step-by-step explanation:

3(x + 1)(x + 7) − (2x + 5)²

3(x² + 8x + 7) − (4x² + 20x + 25)

3x² + 24x + 21 − 4x² − 20x − 25

-x² + 4x − 4

-(x² − 4x + 4)

-(x − 2)²

A squared number is never negative (provided x is a real number), so -(x − 2)² is never positive.

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is 16% of 375?Thank You
    11·1 answer
  • What is the simplified form of the following expression? 10abc^2 sqrt 49a^2b^2c^2
    11·2 answers
  • Please help. I don't understand this. Thanks.
    13·1 answer
  • Help me slove these 3 problems
    15·1 answer
  • Martha has 25 coins in her purse some of these coins are nickels and the rest are quarters if the total value of the coins she s
    15·1 answer
  • Bianca filled 2 same-sized jars with flavored popcorn as a gift. She wants to glue a piece of ribbon around the edge of each lid
    7·2 answers
  • If sintheta=44/ 125, find cosθ and tanθ.
    9·1 answer
  • Explain how algebra tiles represent like terms and zero pairs
    11·1 answer
  • What’s the diameter of the circle of the circumference is 30 pi inches
    12·2 answers
  • Which inequality represents the sentence? The difference of seven and two tenths and a number is more than twenty nine. 7. 2 - n
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!