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Arturiano [62]
3 years ago
5

Which statements are true?

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0
Answer:

It doesn’t necessarily ask for reasoning, but I’ll just say all of the above are correct, the definition of congruent is “identical in form” or the same. A 25 degree angle would be congruent to a 25 degree angle, two intersecting lines form 4 angles or two lines that equal 180 degrees on each side, and both angle pairs of 2 are gonna be congruent to each other respectively, and two congruent angles of 45 degrees would add up to 90 degrees.
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Find the area of the trapezoid to the nearest tenth.
erica [24]

Answer:

2.2 metres squared

Step-by-step explanation:

We need to find the area of this trapezoid.

The area of a trapezoid is denoted by:

A=\frac{(b_1+b_2)h}{2}, where b_1 and b_2 are the parallel bases and h is the height

Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.

Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:

2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4

Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:

A=\frac{(b_1+b_2)h}{2}

A=\frac{(0.9+2.3)*1.4}{2}=2.2

The answer is thus 2.2 metres squared.

<em>~ an aesthetics lover</em>

8 0
3 years ago
Kai has $315 in her bank account. She withdraws $65 for a new jacket and another $13 for lunch with her friends. She deposits $2
MissTica

Answer:

263

Step-by-step explanation:

take the start amount 315 and subtract 78 then add 26 which would amount to 263

5 0
3 years ago
Read 2 more answers
The probability of getting a 4- bedroom home with a open porch based off the table.
AleksandrR [38]
All you have to do is multiply 1/3 (the chance of getting a 4 bedroom home) times 1/2 (the chance of getting an open porch). The answer is a 1/6 chance, as you don’t have to do anything with the kitchens because the question doesn’t specify to.

Hope this helps!
4 0
3 years ago
Show your work:<br><br> Express 160 pounds (lbs) in kilograms (kg). Round to the nearest hundredths.
andrew-mc [135]

Answer:

160 lbs = 72.57kg

Step-by-step explanation:

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

Each lb has 0.45kg. How many kg are there in 160lbs. So:

1lb - 0.45kg

160 lbs - xkg

x = 0.45*160

x = 72.57 kg

160 lbs = 72.57kg

4 0
3 years ago
I need to solve this can anyone solve this?
xenn [34]

Answer:

d = 7

Step-by-step explanation:

7 times 5 = 35

or

35/5 = 7

4 0
3 years ago
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