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Andru [333]
3 years ago
8

The measures of the angles of △ABC are given by the expressions in the table. Angle Measure A ​ (4x−13)° ​ B 15° C (x+18)∘ What

is the measure of ∠A and ∠C ? Enter your answers in the boxes. ​ m∠A= ​ º ​ m∠C= ​ º
Mathematics
1 answer:
prohojiy [21]3 years ago
8 0

Answer:

m∠A = 115°; m∠C = 50°

Step-by-step explanation:

   ∠A    +   ∠B   + ∠C = 180

4x – 13 + 15 + x +  18 = 180     Combine like terms

                    5x + 20 = 180     Subtract 20 from each side

                            5x = 160     Divide each side by 5

                              x =   32

∠A = 4 × 32 – 13

    = 128 – 13

     = 115°

∠ C = 32 + 18

      = 50°

<em>Check: </em>

115 + 15 + 50 = 180

              180 = 180

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Please help me with the question please ASAP
erica [24]

Answer:

The ratio of perimeter of ABCD to perimeter of WXYZ = \frac{2}{3}

Step-by-step explanation:

First, we have to determine the multiplicative factor of the dimensions for both figures.

Considering sides AB and WX,

multiplicative factor = \frac{12}{8}

                                = 1.5

So that:

XY = 6 x 1.5 = 9

YZ = 7 x 1.5 = 10.5

ZW = 7 x 1.5 = 10.5

Perimeter of ABCD = 6 + 7 + 7 + 8

                                = 28

Perimeter of WXYZ = 9 + 10.5 + 10.5 + 12

                                 = 42

The ratio of the perimeters of the two quadrilaterals can be determined as;

ratio = \frac{perimeter of ABCD}{Perirmeter of WXYZ}

       = \frac{28}{42}

       = \frac{2}{3}

The ratio of the perimeter of ABCD to perimeter of WXYZ is \frac{2}{3}.

5 0
3 years ago
Can someone please help me? I keep losing points...
Ad libitum [116K]

Answer:

$39,000

Step-by-step explanation:

i = prt

i = ($30,000)(.10)(3)

$9000 + 30000

8 0
3 years ago
Read 2 more answers
If x/2+ 7 = 4<br> , what is the value of 5x - 7?
horrorfan [7]

Answer:

-37

Step-by-step explanation:

for the first equation to equal 4 the x must equal -6.

because something plus 7 had to equal 4. and we know that -3 + 7 equals 4. Now, -6 ÷ 2 equals -3 and that gives us the right answer.

So now plug -6 into the new problem so now it is

5 × (-6) - 7 so according the PEMDAS, we do 5 × -6 first which is -30. and -30 - 7 equals -37!!

hope this helps :)

5 0
2 years ago
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hoa [83]

Answer:

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Step-by-step explanation:

8 0
3 years ago
What was the total production of gasoline and kerosene combined (in Barrels)
Elina [12.6K]

The amount of kerosene and gasoline produced is an illustration of equations.

<em>44.4 million barrels of gasoline and kerosene are produced</em>

Let

<em />x \to<em> Proportion of kerosene</em>

<em />y \to<em>  Proportion of Gasoline</em>

<em />

So:

x = 40\%

y = 34\%

Total = 60\ million ---- total barrels produced

The amount of Kerosene produced is:

Kerosene =x \times Total

Kerosene =40\% \times 60\ million

Kerosene = 24\ million

The amount of Gasoline produced is:

Gasoline  =y \times Total

Gasoline  =34\% \times 60\ million

Gasoline  =20.4\ million

So, the total production of both is:

Total = Kerosene + Gasolene

Total = 24\ million + 20.4\ million

Total = 44.4 million

<em>Hence, 44.4 million barrels of gasoline and kerosene are produced</em>

Read more about equations at:

brainly.com/question/21105092

8 0
3 years ago
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