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natka813 [3]
3 years ago
8

the ratio of the measures of three angles in a triangle is 10:3:7 find the measure of the largest angle

Mathematics
1 answer:
emmainna [20.7K]3 years ago
4 0

Answer:

90°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the parts of the ratio 10 + 3 + 7 = 20

divide 180 by 20 to find the value of one part of the ratio

\frac{180}{20} = 9° ← 1 part of the ratio

the largest angle is the one with 10 parts of the ratio, hence

10 parts = 10 × 9° = 90° ← largest angle


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James has a piece of construction paper with an area of 50 1/4 inches. It is 4 3/16 inches long. What is the width of the piece
Flura [38]

Answer:

The width of the piece of construction paper is 12 inches.

Step-by-step explanation:

The length of the construction paper=   4 3/16 in log

4\frac{3}{16} = 4 +  \frac{3}{16} = 4 + 0.1875 = 4.1875

⇒Length of the paper = 4.1875 inches

Let the width of the paper = w inches

The area of the paper = 50 1/4   sq. inches.

50\frac{1}{4} = 50 +  \frac{1}{4} = 50 + 0.25 = 50.25

⇒Area of the  paper = 50.25 sq. inches

Now, Area of the paper = LENGTH x WIDTH

or, 50.25 sq. inches  = 4.1875 inches x w

⇒ w = 50.25  / 4.1875 = 12 in

or, w = 12 in

Hence, the width of the piece of construction paper is 12 inches.

6 0
4 years ago
Twice a number plus five is same as five times the number minus sixteen , the number is ____.
madam [21]

Answer:

7

Step-by-step explanation:

solving algebraically:

(x = the unknown number)

(our goal is to isolate x/get x by itself)

  2x + 5 = 5x - 16     {equation written out}

 -2x         -2x

        5 = 3x - 16

   + 16        + 16

      21 = 3x

    ÷3   ÷3

      7 = x

check:

(2)(7) + 5 = (5)(7) - 16

14 + 5 = 35 - 16

19 = 19

hope this helps!!

7 0
2 years ago
Read 2 more answers
{-13,-2,9,20,31,…} which term in this sequence is 306
Ksenya-84 [330]

Given :-

  • -13,-2,9,20,31 . . . . .

To find :-

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Solution :-

<u>Common</u><u> </u><u>difference </u><u>,</u>

  • d = 31 - 20
  • d = 11

<u>A</u><u>s </u><u>we </u><u>know</u><u> that</u><u> </u><u>,</u>

  • Tⁿ = a + (n-1)d
  • 306 = -13 + (n-1)11
  • 306+13 = (n-1)11
  • 319/11 = n-1
  • 29 = n -1
  • n = 30
7 0
3 years ago
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The temperature was -4 F this morning. if the temperature dropped 7f, what is the temperature now
Xelga [282]

Answer:

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Step-by-step explanation:

-4-7= -11

5 0
3 years ago
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What are the different types of triangles ?
sp2606 [1]

Right-angle triangle

equilateral triangle

isosceles triangle

scalene triangle

6 0
4 years ago
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