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
kkurt [141]
2 years ago
9

Need help ASAP! Directions in picture ;)

Mathematics
1 answer:
GuDViN [60]2 years ago
6 0
The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:

< (4x + 8) + < 72° = 180°

Combine like terms:
4x + 80 = 180°

Subtract 80 from both sides:

4x + 80° - 80° = 180° - 80°

4x = 100

Divide both sides by 4 to solve for x:

4x/4 = 100/4

x = 25

To verify whether the value of x is correct, substitute its value into the equality statement:

< (4x + 8)° + < 72° = 180°

< [4(25) + 8]° + < 72° = 180°

< (100 + 8)° + < 72° = 180°

< 108° + < 72° = 180°

180° = 180° (True statement. Therefore, the correct answer is x = 25).

Please mark my answers as the Brainliest if you find this helpful :)
You might be interested in
Circle T is shown. Line segment Q S is a diameters. Point R is opposite of point T. Lines are drawn from points Q and S to point
Juliette [100K]

The value of angle x of the given cyclic segment is; 49.5°

<h3>How to find the angle of an arc?</h3>

We are given the measure of the angle of  arc QS as (4x – 18)°

Now, to find the measure of arc QS, this angle is to be equal to 180° and as such;

Thus;

(4x – 18)° = 180°

4x - 18 = 180

4x = 180 + 18

4x = 198

x = 198/4

x = 49.5°

The angle subtended by the arc at the center of a circle with center C is the angle of the arc. It is denoted by. m AB, where A and B are the endpoints of the arc. With the help of the arc length formula, we can find the measure of arc angle.

The formula to measure the length of the arc is;

Arc Length Formula (if angle θ is in degrees); s = 2πr (θ/360°)

Arc Length Formula (if θ is in radians) s = ϴ × r.

Thus, the value of x of the given cyclic segment is; 49.5°

Read more about arc angle at; brainly.com/question/2005046

#SPJ1

8 0
1 year ago
How to write 8 21/40 as a decimal
jenyasd209 [6]

Answer: 8.525



Step-by-step explanation:


8 0
3 years ago
Festus bought a computer at $736.34, Apple iPad at $249.99, and a printer at 381.23. The sales tax rate is %6. What is the total
tatuchka [14]

The total purchase price including sales tax will be $1449.6136

<em><u>Explanation</u></em>

Festus bought a computer at $736.34, Apple iPad at $249.99 and a printer at $381.23

So, the <u>total price of all three items</u> =(736.34+249.99+381.23) dollar = 1367.56 dollar.

The sales tax rate is 6%. So, <u>the amount of sales tax</u> =(1367.56*0.06) dollar= 82.0536 dollar.

Thus, the total purchase price including sales tax will be:  (1367.56 + 82.0536) dollar = 1449.6136 dollar

6 0
3 years ago
Ten boys and twelve girls decide to rent a 16-passenger van and a 6-passenger to drive to a rock concert in a near by city. If t
stira [4]
A) The probability that there are no boys in the car is given by:
P(no\ boys\ in\ car)=\frac{12C6}{22C6}=0.012
5 0
3 years ago
In triangle ABC, c is the hypotenuse, 0=25°, and b =3, Find the length of c ?
Charra [1.4K]

Answer:

\large\boxed{c\approx3.31}

Step-by-step explanation:

Use cosine:

cosine=\dfrac{adjacent}{hypotenuse}

\cos\theta=\dfrac{b}{c}

We have:

\theta=25^o\to\cos25^o\approx0.9063\\\\b=3

Substitute:

\dfrac{3}{c}=0.9063

\dfrac{3}{c}=\dfrac{9063}{10000}          <em>cross multiply</em>

9063c=30000          <em>divide both sides by 9063</em>

c\approx3.31

8 0
3 years ago
Other questions:
  • Which expression has the same value as the one below?
    7·2 answers
  • A company make concrete bricks shaped like rectangular prisms.
    7·1 answer
  • The ratio of boys to girls in homeroom is 2:3 if there are 8 boys how many girls are there?
    12·1 answer
  • Showing A Tape Diagram to solve 2/3 of 5 Equalling the Answer, Thank You.
    8·1 answer
  • Convert a 30% markup percent on cost to markup percent on selling price. (Round to the nearest hundredth percent.)
    5·1 answer
  • A game last 7/8 hour Karen played five of those games how long did she play in tota<br>l​
    5·1 answer
  • $1.98<br> $5.25<br> $6.40<br> which is the best?
    13·2 answers
  • A ray, line or segment that cuts a segment in half and create right angles is called__
    13·1 answer
  • Could you help me with this plz
    10·1 answer
  • What is the value of n in the equation below? a^n/ a^3 = a^9 <br>a. 3 <br>b. 6 <br>c. 12 <br>d. 27​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!