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
kobusy [5.1K]
3 years ago
12

What is the measurement of ∠BAC and ∠ABC? Explain your process of solving.

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0

Answer:

<BAC = 78

<ABC = 68

Step-by-step explanation:

The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,

<BAC + <ABC = <ACD

Substitute,

(5y + 3) + (4y + 8) = (146)

Simplify,

9y + 11 = 146

Inverse operations,

9y + 11 = 146

     -11     -11

9y = 135

/9      /9

y = 15

Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),

<BAC = 5y + 3

5(15) + 3

78

<ABC = 4y + 8

4(15) + 8

68

You might be interested in
I really need help with this answer can someone help?
valina [46]

Answer:

$7075 or 7718

Step-by-step explanation:

91100-6200=84900

84900/11= 7718.18181818 or rounded= 7718

(This is if the december month doesnt count.)

84900/12=7075

(If december is included.)

7 0
3 years ago
Read 2 more answers
The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the
posledela

Answer:

Loading,please wait...

Step-by-step explanation:

3 0
3 years ago
a phone company offers teo monthly plans plan a cost 25$ plus an additional 0.11 for each minue of calls. plan b has no initial
Mandarinka [93]

Answer:

The equation is 0.11x + 0.25 = 0.15x (I think) and the answer is 6.25 = x

Step-by-step explanation:

0.11x + 0.25 = 0.15x  Subtract 0.11x from both sides

-0.11x              -0.11x

0.25 = 0.04x Divide both sides by 0.04

6.25 = x

4 0
2 years ago
What Is 1 - 1/3? <br> Fraction Skills
ANEK [815]

Answer:

2/3

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
PLEASE HELP IF YOU CAN! IM DESPERATE! DUE TODAY!
sukhopar [10]

Answer:

2x+6=-8(x>=-7), 2x+3<9(x<3), 2x-4<=-8(x<=-2), -x-8>=-5(x<=-3), x+-4<=-3(x<=1)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Nine more than three times a number is -6 written out please hurry and
    13·2 answers
  • Integers with different values in each digit can be expanded in a similar way. For these integers, you must use addition between
    11·2 answers
  • The following table shows the distance from school as a function of time:
    13·2 answers
  • Subtracing 3x2+4x-5 from 7x2-3x from this polynomial the difference is
    14·1 answer
  • How is adding positive and negative fractions similar to adding intergers ?
    8·1 answer
  • Jeff and his family are driving to visit his grandmother.they have driven about 30 miles, which is about 2/3 of the way. ow much
    6·1 answer
  • How many minutes will it take each of them to arrive at the scene?
    10·1 answer
  • Joe has fraction 5 over 6 pound of bird seed. He needs fraction 1 over 3 pound to feed the birds daily. Which of the rectangle m
    8·1 answer
  • Two circles with the same center are called
    14·2 answers
  • I need help can someone help me out
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!