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
Drupady [299]
3 years ago
10

What is the measure of the highlighted angle?

Mathematics
1 answer:
KatRina [158]3 years ago
5 0

Answer:

130

Step-by-step explanation:

The two angles with measurements are vertical angles and vertical angles are equal

12x-2 = 10x+20

Subtract 10x from each side

12x-10x -2 =10x-10x+20

2x-2 = 20

Add 2 to each side

2x-2+2 =20+2

2x= 22

Divide each side by 2

2x/2 =22/2

x =11

We want to find 2x-2

12(11)-2

132-2

130

You might be interested in
The variables x and y vary inversely. When y is 10, x is 10. What is x when y is 20
dezoksy [38]
<span>inversely
y = k/x
k = yx
k = 10*10 = 100

when y = 20

20 = 100/x
20x = 100
   x = 5

answer
</span><span> x = 5 when y is 20</span>
8 0
4 years ago
The figure is made up of a hemisphere and a cylinder.
Goryan [66]
Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting: \pi \approx 3.14
V (volume) = ?

Solving:(<span>Cylinder volume)
</span>V = h* \pi *r^2
V = 8*3.14*5^2
V = 8*3.14*25
\boxed{ V_{cylinder}  = 628\:cm^3}

<span>Note: Now, let's find the volume of a hemisphere.
</span>
Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting: \pi \approx 3.14

If: We know that the volume of a sphere is V = 4 * \pi *  \frac{r^3}{3}, but we have a hemisphere, so the formula will be half the volume of the hemisphere V =  \frac{1}{2}  * 4 * \pi *  \frac{r^3}{3} &#10;

Formula: (<span>Volume of the hemisphere)
</span>V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3}

Solving:
V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3}
V = \frac{1}{2} * 4 * 3.14 * \frac{5^3}{3}
V = \frac{1}{2} * 4 * 3.14 * \frac{125}{3}
V =  \frac{1570}{6}
\boxed{V_{hemisphere}\approx 261.6\:cm^3}


<span>Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)
</span>
Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
\boxed{\boxed{Volume\:of\:the\:figure = 1517.6\:cm^3}}\end{array}}\qquad\quad\checkmark
3 0
3 years ago
Read 2 more answers
Use a factor tree to find the prime factorization of each number
andre [41]

Let's say you had the number 70.


70

/ \

10 7

/ \

5 2


Answer: 7,5,2 are your prime numbers


7 0
3 years ago
PLEASE HELP ME I NEED THE ANSWER TO THIS
Lubov Fominskaja [6]

Answer:

295sq feet

Step-by-step explanation:

25*10=250

5*5=25

5*4=20

250+25+20=295

8 0
3 years ago
Read 2 more answers
Gina, Jared, and Edward sat on their grandmother's porch shelling peas for dinner. There were 2 big bowls of peas, and each pers
Crazy boy [7]

Answer: 2/3 bowl

Step-by-step explanation: you divide the 2 bowls by 3 since there are 3 people

8 0
3 years ago
Other questions:
  • In baseball, the equation E=9r/I. Sove for I
    5·1 answer
  • A single tennis court is 75% the width of a doubles tennis court. The singles court is 27 feet wide. How wide is the doubles cou
    12·2 answers
  • Which statement holds true for a skewed histogram showing a distribution of the weights of students in a class?
    12·1 answer
  • A garden measuring 12 meters by 6 meters is going to have a walkway constructed all around the perimeter, increasing the total a
    12·2 answers
  • 12. The function M(h) = 10e-0.173h can be used to find the number of milligrams M of morphine that is
    5·1 answer
  • for an interview 60% of the applicants were selected. After the interview 20% for those who were selected go to the job offer​
    7·1 answer
  • Noa was paid a 25 percent commission for selling a used car.
    5·2 answers
  • 2ND QUESTION. PLEASE PLEASE HELP. 20 POINTS!!!!!!!!ANSWER IN FUL SENTENCES
    5·1 answer
  • Your teacher has asked you to explain the difference between quantitative and qualitative observations. Which statement is corre
    10·1 answer
  • Evaluate (A n C) - B
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!