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Goryan [66]
3 years ago
8

In a right triangle, the acute angles measure x + 15 and 2x degrees. What is the measure of the smallest angle of the triangle?

Mathematics
1 answer:
Lostsunrise [7]3 years ago
8 0

First, solve for each of the angles. Since it is a right triangle, one of the angles is 90 degrees. Knowing that the sum of the angles of a triangle are always equal to 180 degrees, you can write an equation for the triangle.

Angle1+ angle2+angle3=180.

Which means that 90+(x+15)+2x=180.

After finding the value of x, which is 25 in this case, solve for each angle.

X+15=25+15=40.

2x=25*2= 50

The value of the smallest angle is 40 degrees.

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2 years ago
Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequali
BigorU [14]

Answer:

A. Division property of inequality.

Step-by-step explanation:

Let be 2\cdot x > 10, we proceed to show the appropriate procedure to step 4:

1) 2\cdot x >10 Given

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In consequence, the division property of inequality which states that:

\forall\, a, b, c \in \mathbb{R}. If c > 0, then:

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But if c < 0, then:

a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a b\cdot c

Hence, correct answer is A.

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3 years ago
Hey guys! I would be thankful if anyone could help me answer this question.
ExtremeBDS [4]
In order to not get confused, start by converting cm to m
h=20 cm = 0.2m and r=5cm = 0.05m

The cans are cylinders and we only need the rectangular shape, which is equal to the height x the circumference of the circle (2r(pi)), which you'll have to multiply by 200,000 for the number of cans necessary

your equation is therefore:
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4 0
3 years ago
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Answer:

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Step-by-step explanation:

To figure out if (1,2) is a solution to the system, we can plug the values in and see if it is true.

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3-4=-1

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It is true for this equation. Now let's check the next one.

y=-x+3

2=-(1)+3

2=2

Since both equations are true when we plug the values in, (1,2) is a solution to the system.

8 0
3 years ago
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Evgesh-ka [11]

Answer:

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Step-by-step explanation:

Is it right. Please mark Brainliest if is.

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