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
anygoal [31]
3 years ago
8

Geometry picture added

Mathematics
1 answer:
Nikitich [7]3 years ago
5 0
X and Z equal 72
Y equals 108.

This is because y and 108° are vertex angles meaning they are both equal to each other. X is 72 because it’s form a supplementary angle with 108°. So what I did to find x is I subtracted 108 from 180 to get 72°. Then I know x and z are vertex angles meaning that z is also equal to 72°
You might be interested in
A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is
MAXImum [283]

Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = w+12 inches

As given, 4 inch squares are cut from each corner;

So, the width is = w-8 inches

Length is = w+12-8=w+4 inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, 256=(w+4)(w-8)(4)

=> 256=(w^{2}-4w-32)4

=> 64=(w^{2}-4w-32)

=> w^{2} -4w=96

or w^{2} -4w-96=0

=> w^{2} -12w+8w-96=0

=> w(w-12)+8(w-12)=0

We get , (w+8)=0 ; w = -8(neglect the negative value)

(w-12)=0 ; w = 12 inches

And length = 12+12=24 inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : 256=(w+4)(w-8)(4)

256=(12+4)(12-8)(4)

=> 256=(16)(4)(4)

=> 256=256

5 0
3 years ago
4 boys are running a race Pete is ahead of nick by 11 meters Oliver is ahead of Manny by 10 meters Oliver is ahead of Pete by 5
zlopas [31]
Oliver is the runner in 1st place 16 meters ahead of Nick, who is the runner in the last place.
4 0
3 years ago
Read 2 more answers
Johnny makes $8.25 an hour working at the local restaurant. His paycheck shows that he works 29.5 hours over the past week. How
svetlana [45]

To do this you can do (pay) x (hours) to work out how much Johnny makes for example:

8.25 x 29.5 = 243.375$ so the answer is 243.375$

4 0
3 years ago
Read 2 more answers
4-4x=12+16x will gib brainleist i promise ;)
Delicious77 [7]

Answer:

4-4x=12+16x

−4x+4=16x+12

−4+4−4=16+12−4

-4x=16x+8

-4x-16x=16x+8-16x

-20x=8

-20x/-20 = 8/-20

x= -2/5

5 0
2 years ago
the two shorter sides of a triangle are the same length. the length of the longer side is 5 m longer than each of the shorter si
STatiana [176]
Let the length of the shorter sides be x, then
Perimeter = x + x + x + 5
29 = 3x + 5
3x = 29 - 5 = 24
x = 24/3 = 8

Therefore, the length of longest side is 8 + 5 = 13 m.
4 0
3 years ago
Read 2 more answers
Other questions:
  • When data consist of percentages, ratios, compounded growth rates, or other rates of change, the geometric mean is a useful meas
    15·1 answer
  • Cathy measured a room to be 10 1/2 feet by 12 5/8 feet. What is the area of the room
    8·1 answer
  • If 5 is 20% of N,then what does N equal
    11·2 answers
  • How to write 26591 in expanded form
    6·1 answer
  • Write the equation in standard form using integers.
    6·1 answer
  • (PLEASE HELP DUE NOW! I DON'T UNDERSTAND!)
    11·1 answer
  • If the graph of f(x)=x^2, how will the graph be affected if it is changed to f(x)=1/3x^2?
    5·1 answer
  • Find the quotient. Express your answer as a mixed number in simplest form.<br><br><br><br> 334 ÷ 112
    6·1 answer
  • Needed ASAP for tonight, 10 quick homework questions
    12·1 answer
  • Please Help!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!