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Flura [38]
2 years ago
15

Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°

. Complete the following statements.
Since angle G is _____angle, the opposite side, JH, is
____

The order of the side lengths from longest to shortest is
____ ____ ____
Mathematics
2 answers:
stiv31 [10]2 years ago
8 0

Answer:

Since angle G is the largest angle, the opposite side, JH, is the longest. The order of the side lengths from longest to shortest is JH, HG, GJ

Guest
1 year ago
you got it backwards
Elodia [21]2 years ago
4 0

Answer:

Since angle G is Largest angle, the opposite side, JH, is

Longest

The order of the side lengths from longest to shortest is

JH, HG,  GJ

Guest
1 year ago
its HJ, GH, and GJ
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By coincidence, Kimberly’s Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint
Damm [24]

Answer:

36 liters

Step-by-step explanation:

Yellow paint = 9 liters containers

Blue paint = 12 liters containers

Kimberly’s Paint Supplies sold equal quantities of two paint colors yesterday

What is the smallest amount of each paint color the store must have sold?

Find the Lowest common multiple of 9 liters and 12 liters

9 liters = 18, 27, 36, 45, 54, 63, 72, 81, 90, 99

12 liters = 24, 36, 48, 60, 72, 84, 96, 108

The Lowest common multiple of 9 liters and 12 liters is 36 liters

Therefore, the smallest amount of each paint color the store must have sold to have equal quantities of two paint colors yesterday is 36 liters

7 0
1 year ago
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1. Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1,
zzz [600]

Answer:


Step-by-step explanation:

Given that Miguel is playing a game

The box contains 4 chips, 2 with number 1, and other two differntly numbered as 3 and 5.

OUt of these 4, 2 chips are drawn

P(drawing same number) = 2C2/4C2 =\frac{1}{6}

Prob (drawing differnt numbers) = 1-1/6 =\frac{5}{6}

Hence prob of winning 2 dollars = \frac{1}{6}

Prob of losing 1 dollar = \frac{5}{6}

b) Expected value = sum of prob x amount won

= \frac{1}{6}2+\frac{5}{6}(-1)=-\frac{1}{2}

c) Miguel can expect to lose 1/2 dollars for every game he plays

d) If it is to be a fair game expected value =0

i.e. let the amount assigned be s

Then \frac{1}{6}s-\frac{5}{6}=0\\s=5

6 0
1 year ago
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An escalator in the subway station has a vertical rise of 195ft 9.5in, and rises at an angle of 10.4 degrees. How long is the es
MrRa [10]
The escalator is 98 feet long
5 0
2 years ago
Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m
Dovator [93]

Option a: \frac{m^{5} }{162n} is the equivalent expression.

Explanation:

The expression is \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } where m\neq 0, n\neq 0

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }

Cancelling the like terms, we have,

\frac{3^{-3}m^{5} n^{-1}}{6 }

This equation can also be written as,

\frac{m^{5}}{3^{3}6 n^{1} }

Multiplying the terms in denominator, we have,

\frac{m^{5} }{162n}

Thus, the expression which is equivalent to \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } is \frac{m^{5} }{162n}

Hence, Option a is the correct answer.

8 0
2 years ago
Read 2 more answers
The function f(t) = 4t2 − 8t + 8 shows the height from the ground f(t), in meters, of a roller coaster car at different times t.
lidiya [134]

Answer:

f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground

Step-by-step explanation:

The function is a quadratic where t is time and f(t) is the height from the ground in meters. You can write the function f(t) = 4t2 − 8t + 8 in vertex form by completing the square. Complete the square by removing a GCF from 4t2 - 8t. Take the middle term and divide it in two. Add its square. Remember to subtract the square as well to maintain equality.

f(t) = 4t2 − 8t + 8

f(t) = 4(t2 - 2t) + 8                                  The middle term is -2t

f(t) = 4(t2 - 2t + 1) + 8 - 4                        -2t/2 = -1; -1^2 = 1

f(t) = 4(t-1)^2 + 4                                      Add 1 and subtract 4 since 4*1 = 4.

The vertex (1,4) means at a minimum the roller coaster is 4 meters from the ground.

  • f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
  • f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 4 meters from the ground
  • f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 1 meter from the ground
  • f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground
8 0
2 years ago
Read 2 more answers
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