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
vesna_86 [32]
3 years ago
11

Given the figure below, find the values of x and z.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0

Answer: x = 2 and z=78

Step-by-step explanation:

Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure). Z is Opposite to 78 angle, so z=78.

Adjacent angles add up to 180 degrees, and 78 and (5x + 92) are adyacents so:

5x + 92 + 78 = 180

5x + 170 = 180

5x = 180 - 170

5x = 10

x = 10/5

x = 2

You might be interested in
Triangle Q R S is shown. Angle Q R S is 100 degrees. The length of Q R is 2.4 and the length of Q S is 3.5. Law of sines: StartF
Orlov [11]

Answer:

StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (S) Over 2.4 EndFraction

in other words, A.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Calculate the total cost of an item bought at a negotated price of $13,290 with 5.5 percent sales tax and a $125 registration fe
Charra [1.4K]
C=13290+13290(.055)+125=$14145.95<span>
</span>
7 0
2 years ago
Can anyone explain this to me??
finlep [7]
It is the first option. DF = DE. It is referring to the lengths of each line, DE and DF look like they are the same. It is not a scalene triangle it is a right triangle. EF is way too long to be equal to DE or DF
3 0
3 years ago
barbara filled a box with layers of unit cubes.the box had a volume of 125 cubic units which sentence about the box must be true
Arturiano [62]
The box was filled with exactly 125 unit cubes because volume means it has to be filled.

Hope this helps! <span>\(≧▽≦)/</span>




6 0
2 years ago
Read 2 more answers
The opening soccer game at the new arena was attended by approximately 2,800 Caucasians, 4,800 African Americans, and 15,00 Hisp
worty [1.4K]

<u>Answer:</u>

The ratio of African Americans to Hispanics Americans present is 16 : 5  

<u>Explanation:</u>

Given the people attending the soccer game were:

2800 among them are Caucasians

4800 are African Americans

1500 are Hispanics

And, 1400 of those were from other ethnic backgrounds

We have to find the Ratio of African Americans to Hispanics Americans

Therefore,

African Americans : Hispanics Americans = 4800 : 1500

\frac{\text { African American }}{\text { Hispanics American }}=\frac{4800}{1500}=\frac{48}{15}=\frac{16}{5}

Hence, the ratio of African Americans to Hispanics Americans present in the ratio were 16 : 5  

5 0
3 years ago
Other questions:
  • The block Factory has boxes to Pack groups of one hundred blocks. if Max has an order for 2,340 blocks how can he pass them usin
    13·1 answer
  • The perimeter of a rectangle is 24 feet. The length is 3 feet less than twice the width. The width is:
    5·1 answer
  • You use 4 gallons of water on 30 plants in your garden. At that rate, how much water will it take to water 45 plants?
    12·1 answer
  • What is the length of AC?<br><br> 3 ft<br> 4 ft<br> 9 ft<br> 18 ft
    13·2 answers
  • What is the value of the digit 4 in the number 834,539,267​
    13·2 answers
  • The graph of g(x) = |x – h| + k is shown on the coordinate grid. What must be true about the signs of h and k?
    15·2 answers
  • 13. Solve 2/3 + 5/6 and put answer in simplest<br> form.<br> O A. 11/2<br> B.<br> c. 76<br> D.776
    8·1 answer
  • Brian can iron 3 shirts in 5 minutes. If Brian irons at a constant rate, how many shirts can he iron in 30 minutes? WILL GIVE BR
    12·2 answers
  • 20% of 37.35 for math
    12·1 answer
  • Can somebody teach me how to do this?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!