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AlladinOne [14]
4 years ago
10

Find the measure of the numbered angles for the parallelogram for number one!

Mathematics
1 answer:
omeli [17]4 years ago
8 0

Consecutive angles of a parallelogram are supplementary, therefore:

Angle 3 + 110° = 180°

 

Subtract 110° from both sides of the equation

Angle 3 + 110° – 110° = 180° – 110°

Angle 3 = 70°

 

Opposite angles of a parallelogram are congruent, therefore:

Angle 2 = 110°

 

Angle 1 = Angle 3

Since Angle 3 = 70°

Angle 1 = 70°

 

Summarily,

Angle 1 = 70°

Angle 2 = 110°

Angle 3 = 70°

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There's so many numbers in this one shape I'm confused ._.
Svetlanka [38]
The answer should be 12 units^2

starting from the left side of the shape you multiply base 2 by height 2 which gets 4 then divide by 2 since it is a triangle. next multiply 2x2 for the square in the middle which gets you 4. lastly multiply 6x2 for the triangle on the right which gets you 12 however bc it is a triangle you must divide by 2 and get 6. then add them all together and you get 12.
7 0
3 years ago
Read 2 more answers
Ricardo borrows $1,850 for 10 months at an interest rate of 12.25%. What amount will
jonny [76]

9514 1404 393

Answer:

  $2038.85

Step-by-step explanation:

The value of the loan at that point is given by ...

  A = P(1 +rt) . . . . . Principal P, rate r, time t (years)

  A = $1850(1 + 0.1225·(10/12)) = $2038.85

Ricardo will have paid back $2038.85 at the end of the loan period.

_____

<em>Additional comment</em>

We assume that the loan accrues simple interest and that the amount due is the sum of principal and interest at the end of the loan period.

The question is not specific as to whether interest compounds, or whether intermediate (monthly) payments are made. There are many possible ways the loan could be repaid, generally involving different amounts for the different terms.

7 0
3 years ago
a circular native american dwlelling has a diameter of 24 feet. how much are inside the home? use 3.14 for { } (pi)
Marizza181 [45]

Answer :

A = 452.16  \: {ft}^{2}

step-by-step explanation:

From the question,

the diameter:

d = 24 \: ft

The radius :

r =  \frac{diameter}{2}=  \frac{24}{2}=12 \: ft

\pi = 3.14

Area of a circle is given as

A = \pi {r}^{2}

By substitution,

A = 3.14( {12}^{2} )

\implies \: A = 3.14 \times 144

\implies \: A = 452.16  \: {ft}^{2}

Hence the area of the home is

A = 452.16  \: {ft}^{2}

8 0
3 years ago
there are four semi trailer trucks parked in a line at the rest stop after the first truck each truck in the line weighs 2 tons
alexira [117]
Call the weght of the first truck "w_{1}". We then know that the truck after that is 2 tons more, and the next and the next. i.e:
w_{2} = w_{1} + 2
w_{3} = (w_{2} + 2) = (w_{1}+4)
w_{4} = (w_{3} + 2) = (w_{1}+6)

We also know that total is 32 tons. 
w_{total} = 32 = (w_{1}) + (w_{2}) + (w_{3}) + (w_{4})
32 = (w_{1})+(w_{1}+2)+(w_{1}+4)+(w_{1}+6)
32= 4(w_{1})+12
20=4(w_{1})
w_{1} = 5 tons

Therefore the trukcs weigh 5,7,9 and 11 tons for a total of 32 tons.

Converting to pounds, the trucks weigh 10,000, 14,0000, 18,0000 and 22,000 pounds. 
3 0
3 years ago
If 8p = 3p + 25, what is the value of p? Select the best answer from the choices provided. p = 4 p = 5 p = 6 p = 8
kiruha [24]
<span>8p = 3p + 25 
Subtract 3p from both sides: 5p = 25 Divide both sides by 5: '
p = 5</span>
4 0
3 years ago
Read 2 more answers
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