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fredd [130]
3 years ago
12

NEED HELP 15 POINTS!!!!1

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

Answer: (D) ∠2 is supplementary to ∠8

<u>Step-by-step explanation:</u>

∠2 is congruent to:

  • ∠3   <em>vertical angles</em>
  • ∠6    <em>corresponding angles</em>
  • ∠7   <em>alternate exterior angles</em>

Therefore, it is supplementary to the remaining angles:

  • ∠1
  • ∠4
  • ∠5
  • ∠8

The only multiple choice option that satisfies the above statements is the last one

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The area of the triangle is 28.7 square centimeters. What is the base length of the triangle in centimeters?
Montano1993 [528]

In order to derive the base of a triangle from its area, you need its height as well.

In fact, if we solve the area formula for the base, we have

A=\dfrac{bh}{2} \iff 2A = bh \iff b=\dfrac{2a}{h}

So, the base length would be

b=\dfrac{2\cdot 28.7}{h} = \dfrac{57.4}{h}

where h is the height relative to the base you're interested in.

3 0
3 years ago
The sum of two numbers is twenty-four. The difference of the two numbers is four.
RSB [31]

Answer:

x + y = 24

x - y = 4

Now, add these two equations.

You get,

2x = 28

x =  \frac{28}{2}

x = 14

Given,

x + y = 24

14 + y = 24

y = 24 - 14

y = 10

You can test this to the other equation as well.

x - y = 4

14 - 10 = 4

Hence, the two numbers are 14 and 10.

3 0
3 years ago
In 2007, there were more than 8.14 million cars for sale. Over the next 3 years, the number of cars decreased by 23%. Write an e
Nina [5.8K]

Answer:

c = 8.14 million×(0.9166)^t

4.83 million  

Step-by-step explanation:

Data:

  t = y - 2007

c₀ = 8.14 million

c₃  = 23 % less than c₁

Part 1. Calculate c₃

c₃ = c₀(1 - 0.23) = 0.77c₀

Part 2. Calculate r

      c₃ = c₀r^t

0.77c₀ = c₀r³

   0.77 = r³              Divided each side by c₀

         r = 0.9166     Took the cube root of each side

The explicit decay model is c = 8.14 million×(0.9166)^t

Part 3. Prediction

t = 2013 - 2007 = 6

c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million

The model predicts that there will be 4.83 million cars for sale in 2013.

7 0
3 years ago
Simplify the following math expression: 5+4(6-3)+4/2
lesantik [10]

Answer:

29

you have to solve the brackets first(6-3=3)

Then solve the division (4/2=2)

lastly the addition (5+4=9)

so we have 9×3=27

27+2=29.

3 0
2 years ago
Read 2 more answers
Please help I can’t figure it out
Lynna [10]

Answer:

149.71

Step-by-step explanation:

6 0
3 years ago
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