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jeka94
3 years ago
8

in ΔABC, ∠ABC is a right angle, AB = 3 units, and BC = 2 units. ΔABC is dilated by a scale factor of 0.5 with point B as the cen

ter of dilation, resulting in the image ΔA′B′C′. Which statement about A′B′ is true?
Mathematics
1 answer:
qaws [65]3 years ago
7 0

Answer:

the first one i think

Step-by-step explanation:

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A wheel has a radius of 5 ft what is the minimum number of complete revolutions that the wheel must make it to roll at least a 1
stealth61 [152]
If the radius is 5 ft, the circumference is 10 pi or about 31.4

1000 divided by 31.4 = 31.8

So, it should make a minimum of 32 revolutions to reach 1000 feet.
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3 years ago
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How many minutes does it take the duck to fly 1 kilometer?
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Step-by-step explanation:

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2 years ago
Find the measure of angle 1
Lubov Fominskaja [6]
In ∆FDH, there are two slash marks in two of its legs. This indicates that this triangle is isosceles. If a triangle is isosceles, then it will have two congruent sides and therefore have two congruent angles.

In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:

80 + 2x = 180

Subtract 80 from both sides of the equation.

2x = 100

Divide both sides by 2.

x = 50

This means that angle F and angle H in ∆FDH both measure 50°.

Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.

First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.

**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**

In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:

Angle DHF + Angle DHG = 180°

50° + Angle DHG = 180°.

Angle DHG = 130°.

Now that we know the measure of one angle in ∆DHG, we can use the same method as the previous step for solving the missing angles. Use the equation:

130 + 2x = 180

2x = 50

x = 25

The other two missing angles of ∆DHG are 25°. This means that the measure of angle 1 is also 25°.

Solution: 25°
8 0
3 years ago
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viktelen [127]
300=x+1.9x
I got this by dividing the problem into two parts x[the speed of the first half] plus 1.9x [the speed of the second half increased by 1.9] both of those together should give you 300. 
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8 0
3 years ago
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iogann1982 [59]

Answer:

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so every 5 hours it gains 800 bacteria so 4800+800=5600 (hour 10)

and 5600+800=6400 (hour 15)

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