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
Rama09 [41]
3 years ago
10

Let m Z1=(3x)º, m 22=(5x-7)", m 23=(4x+15), and m ZAFD=128º. Find m44 and m ZBFD.​

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

m<4 = 52°

m<BFD = 98°

Step-by-step explanation:

m<1 = (3x)°

m<2 = (5x - 7)°

m<3 = (4x + 15)°

m<AFD = 128°

✔️Find m<4:

m<4 = 180° - m<AFD (angles on a straight line)

Substitute

m<4 = 180° - 128°

m<4 = 52°

✔️m<BFD = m<2 + m<3

Substitute

m<BFD = (5x - 7)° + (4x + 15)°

We need to find the value of x.

Create an equation to find x.

m<1 + m<2 + m<3 = m<AFD (angle addition postulate)

Substitute

3x + 5x - 7 + 4x + 15 = 128°

Add like terms and solve for x

12x + 8 = 128

12x + 8 - 8 = 128 - 8

12x = 120

12x/12 = 120/12

x = 10

m<BFD = (5x - 7)° + (4x + 15)°

Plug in the value of x

m<BFD = 5(10) - 7 + 4(10) + 15

m<BFD = 50 - 7 + 40 + 15

m<BFD = 98°

You might be interested in
What is the volume of this solid? Use 3.14 for pi. 37.68 cm³ 138.16 cm³ 169.56 cm³ 207.24 cm³ A solid consisting of a cone on to
yulyashka [42]
Volume of Solid = Volume of Cylinder + Volume of Cone
Volume of Cylinder = πr²h
v= 3.14 * (3)² * 6
v = 169.56

Volume of Cone = πr² h/3
v = 3.14 * (3)² * 4/3
v = 37.7

Now, V = 169.56 + 37.7 = 207.26 cm³

Hope this helps!
8 0
3 years ago
Read 2 more answers
For every pound a company spends on advertising, it spends £0.80 on its website. Express the amount spent on advertising to the
matrenka [14]
80%
Explanation: cuz it is
6 0
3 years ago
For the polynomial, list each real zero and its multiplicity. Determine whether the graph
SVEN [57.7K]

Answer:

A, B, F

Step-by-step explanation:

took the test

6 0
3 years ago
Read 2 more answers
What is the answer to 9×(6+7-3)-2​
ZanzabumX [31]

Answer:

88

Step-by-step explanation:

PEMDAS

9*(6+7-3)-2

1) 6+7=13

13-3=10

9*10-2

2)9*10= 90

3)90-2= 88

3 0
3 years ago
Read 2 more answers
Answer please ASAP!!!!!!
weqwewe [10]
<h3>Answer:  282.6 square units</h3>

====================================================

Work Shown:

r = 3 is the radius of the circular base

h = 12 is the height of the cylinder

pi = 3.14 approximately

SA = surface area of the cylinder

SA = 2pi*r^2 + 2pi*r*h

SA = 2*3.14*3^2 + 2*3.14*3*12

SA = 282.6

3 0
3 years ago
Other questions:
  • Using the graph of f(x) below, find lim f(x), x -&gt;3<br><br> -5<br> Does not exist<br> 0<br> 1.7
    11·1 answer
  • What is the midpoint of the line segment with endpoints (-1, 7) (3, -3)
    8·2 answers
  • How do I solve for x?
    15·1 answer
  • Rewrite the expression in standard form by collecting like terms in 9-5(1/10p-3 1/5)
    10·1 answer
  • Which of the following circles lie completely in the fourth quadrant
    14·1 answer
  • 4:3=x:6, find the value of x please help me
    15·1 answer
  • A town has a population of 7,000 and grows at 15% every year.what will be the population after 12 years,to the nearest whole num
    14·1 answer
  • Find the perimeter of MNP<br> Question #9.
    9·1 answer
  • Please help!! the temperature at wonder lake is 12°f. during a storm, the temperature changes by -26° f. what is the temperature
    10·2 answers
  • the capacity of two mil pitcher on the counter is 9/10 liter each.One pitcher has 3/8 liter of milk in it and the other pither h
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!