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
Yakvenalex [24]
2 years ago
5

Given the figure below, find the values of x and z. (5x + 86) (10x + 34) X = Z=

Mathematics
1 answer:
kolezko [41]2 years ago
8 0

Answer:

x = 4 \\ z = 106

Step-by-step explanation:

(5x + 86) + (10x + 34) = 180 \\ 15x + 120 = 180 \\ 15x = 180 - 120 \\ 15x = 60 \\  \\ x =  \frac{60}{15}  \\  \\ x = 4

(5x + 86) = 5(4) + 86 = 20 - 86 = 106

Z= 106 —> Opposite angles

I hope I helped you^_^

You might be interested in
What would be the total number of outcomes in the sample space?
snow_tiger [21]
20x26=520

The answer is D 520.

Hope it helps.
8 0
3 years ago
Read 2 more answers
the gasoline gauge on a van initially read 1/8 full. When 15 gallons were added to the tank the gauge read 3/4 full. How many mo
Nostrana [21]
So 15 gallons of gas brought it from 1/8 full to 3/4 full.

Let's change 3/4 to the equivalent fraction 6/8  so that the denominators are the same.    (3/4 = 6/8)

So 15 gallons of gas brought it from 1/8 to 6/8   Those 15 gallons must be 5/8 of the tank's capacity   6/8 - 1/8 = 5/8

So 15 is 5/8 of what number?  (This will tell us the capacity of the whole tank)

15 = 5/8n
Divide both sides by 5/8 (remembering to multiply by the reciprocal 8/5)
15 ÷ 5/8  = 15 x  8/5  = 18

So the tank holds 24 gallons and (since it is 3/4 full or has 18 gallons) it needs 6 gallons to fill the tank.

Check - at first  1/8 full (1/8 of 24 = 3)  So we started with 3 gallons. 15 gallons added to the 3 gallons is 18 gallons.  Now the tank is 6/8 (3/4 full).  The remaining 1/4 (2/8) of a tank is the difference between 18 and it's capacity (24 gallons)  so it will need 6 gallons to fill it up..

3 0
3 years ago
Ricardo has a sandbox in the shape of a cylinder 5 feet in diameter. He plans to fill the sandbox with sand to a depth of 0.5 fe
s344n2d4d5 [400]

Answer:

36

Step-by-step explanation:

6 0
3 years ago
Which of the following uses the reciprocal property to rewrite {x}{5} = {72}{4}
____ [38]

Anw:

a

Step-by-step explanation:

72*4=5x

=288

5x=288

x=288/5

=57.6

x=57.6

57.6/72=0.8

4/5=0.8

3 0
3 years ago
What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
Zolol [24]
The answer is D
Hope this helps
3 0
3 years ago
Read 2 more answers
Other questions:
  • Bob invests $11726 in an account that pays 7.44% interest per year for 2 years. How much simple interest will he earn? Round you
    15·1 answer
  • Which expression is equivalent to 24 Superscript one-third
    9·1 answer
  • 65% of 80 is what number
    7·2 answers
  • Easy math question Help this is due today
    13·1 answer
  • How do you turn 3/5 to a decimal​
    12·1 answer
  • There are 1000 students in a college.Out of 20000 in the whole university in a study of 200 were found to be smokers in the coll
    13·1 answer
  • How many moles are present in 4.51x1015 atoms of Aluminum (Al)?
    15·1 answer
  • A lorry is travelling at an average
    8·1 answer
  • ...................................................... ............................................
    9·1 answer
  • Johnny bought an oil painting originally priced at $80 but on sale for for 50% off. After 10% sales tax, what was the total cost
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!