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mojhsa [17]
3 years ago
15

Which of the following statements it’s true?

Mathematics
2 answers:
guapka [62]3 years ago
7 0

Answer:

B?

Step-by-step explanation:


Mrac [35]3 years ago
7 0

Answer:

ASA congruence postulate is the correct answer.

Step-by-step explanation:

The following statement is correct- The triangles are congruent by the ASA congruence postulate.

ASA Postulate or the Angle-Side-Angle postulate states that if the two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. Here, if we join the triangles by joining DE and AB we can get a single figure where both the triangles will be congruent.

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Step-by-step explanation:

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3 years ago
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0.75,1.75,2.75,3.75 is arithmetic or geometric?
Semenov [28]

Hello from MrBillDoesMath!

Answer:

Arithmetic


Discussion:

First glance at the numbers shows each term is 1 larger than the preceding terms. So we are adding the constant 1 to each term to get the next term. This is an arithmetic progression.

Thank you,

MrB

5 0
3 years ago
Can you cut a pizza into eleven pieces using exactly four straight cuts?
Anastaziya [24]
I hope this helps :)

6 0
3 years ago
write the equation of the line that passes through the points (-4,4) and (6,9) and figure out what y=mx+b for this equation woul
jeka57 [31]
Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:

9 - 4 / 6 - (-4)

Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:

4 = (1/2)(-4) + b

Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
6 0
3 years ago
The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use
k0ka [10]

Answer:

2489ft^{2}

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}

<h3>Area of each circular section:</h3>

From the figure, we know that \alpha =2.21 radians and the radius is R=30ft. So, the are would be calculated with this formula:

A_{cs}=\frac{\pi R^{2}\alpha}{360\°}

Replacing all values:

A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}

Remember that 360\°=6.28radians

Therefore, A_{cs}=994.5ft^{2}

Now, the total are of the figure is:

A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}

Therefore the area of the symmetrical pool is 2489ft^{2}

3 0
2 years ago
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