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Alex
2 years ago
10

Use the diagram to fill in the blanks x= m∠=

Mathematics
1 answer:
faust18 [17]2 years ago
8 0

Answer:

x = 21, m∠A = 23°, the measure of angle in the right = 67°

Step-by-step explanation:

The angles of a triangle sum up to 180°.

Right angles equals to 90°.

Thus, (2x - 19)° + (3x + 4)° + 90° = 180°

=> 5x + 75 = 180

=> 5x = 105

=> x = 21

m∠A=> 2(21) -19 = 23°

the measure of angle in the right=> 3(21) + 4 = 67°

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What is the volume of a rectangular prism with the dimensions: base 2 3 /8 cm, height 1 1/3 cm, and length 3 3 /4 cm?
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Answer: 11.84 cm³


Step-by-step explanation:

1. Let's rewrite the given dimensions (expressed as mixed numbers) as decimals. Divide the numerator by the denominator of the fractional part and add the result to whole number part. Then:

2^\frac{3}{8}cm=(2+0.375)cm=2.375cm\\1^\frac{1}{3}=(1+0.333)cm=1.333cm\\3^\frac{3}{4}=(3+0.75)cm=3.75cm

2. Then, to calculate the volume you must multiply its dimensions. Therefore, you obtain the following result:

V=2.375cm*3.75cm*1.33cm\\V=11.84cm^{3}


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