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malfutka [58]
3 years ago
7

I want to know x=,y=,z=

Mathematics
1 answer:
My name is Ann [436]3 years ago
3 0
Y=29

x+y+78=180
x+29+78=180
x=180-78-29
x=73

z=180-73
z=107

x=73 degrees
y=28 degrees
z=107 degrees
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The population of a country was increased in the past 4 years. The annual presentage increases are 20%,25%,30%,10% respectively.
Vladimir79 [104]

The answer is 114.5%.

Let the original population be denoted by x.

Now, let's go through the percentage increase per year.

<u>Year 1</u>

  • x (1 + 20%)
  • x (1.2)
  • 1.2x

<u>Year 2</u>

  • 1.2x (1 + 25%)
  • 1.2x (1.25)
  • 1.5x

<u>Year 3</u>

  • 1.5x (1 + 30%)
  • 1.5x (1.3)
  • 1.95x

<u>Year 4</u>

  • 1.95x (1 + 10%)
  • 1.95x (1.1)
  • 2.145x

Overall increase : 214.5% - 100% = 114.5%

Hence, the overall percentage increase in these 4 years is 114.5%.

7 0
2 years ago
Here are two similar rectangles.
asambeis [7]

Answer:

40.32cm^{2}

Step-by-step explanation

4*1.2=4.8

7*1.2=8.4

8.4*4.8=40.32

7 0
3 years ago
Find the center, vertices, and foci of the ellipse with equation x squared divided by 400 plus y squared divided by 625 = 1
Inessa05 [86]

Answer:

x^2/400 + x^2/625

(x-0)^2/400) +(y-0^2/625)

x^2=400

X=sqrt. 400

x = 20

y^2=625

y = sqrt. 625

y= 25

a^2-c^2=b^2

sqrt 400-625 = c

20-25=c

The correct answer is c=-5

(-5,0)

(5,0)

Step-by-step explanation:

4 0
3 years ago
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A 3 liter bottle of juice costs $5.70<br> What is the unit price for 1 liter of juice?
Galina-37 [17]

Answer:

$1.90

Step-by-step explanation:

Divide 5.7 by 3 to get your answer.

\frac{5.7}{3} = 1.9

3 0
3 years ago
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Which of the following theorems verifies that ABC ~ STU?
Lunna [17]

Answer:

B. AA

Step-by-step explanation:

The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.

Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.

Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.

4 0
3 years ago
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