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avanturin [10]
3 years ago
14

ABC and ACD are both right-angled triangles.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
6 0

Answer:

In the picture attached, the question is shown.

a) Applying Pythagorean theorem to triangle ABC, and solving for AC:

CB² + BA² = AC²

5² + 12² = AC²

√169 = AC

13 cm = AC

b) Applying Pythagorean theorem to triangle ACD, and solving for AD:

CD² + AC² = AD²

5² + 13² = AD²

√194 = AD

13.9 cm = AD

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Which two ratios form a proportion? a) 4 20 and 1 5 b) 4 20 and 2 5 c) 20 4 and 1 5 d) 20 4 and 2 5
Alik [6]

A is proportional.

Lets simplify the problem,

← divide numerator/ denominator by 4

= 4/20= 1/5

Thus A form a proportion

≠ 1/5

Thus B is not a proportion

← divide numerator/ denominator by 4

=  2/5 ≠ 1/5

Thus C is not a proportion

5/1 ≠ 1/5

Thus D is not a proportion

A is proportional.

Learn more about Proportion on :

brainly.com/question/1496357

#SPJ4

8 0
2 years ago
What is the measure of y? (Hint- find the sum of the interior angles first)
Degger [83]

Answer:

Option A. 115\°

Step-by-step explanation:

we know that

The sum of the interior angles in a polygon is equal to the formula

S=(n-2)180\°

where

n is the number of sides of polygon

In this problem we have

n=5\ sides

substitute the value in the formula

S=(5-2)180\°=540\°

so

540\°=90\°+135\°+y\°+88\°+112\°

Solve for y

540\°=425\°+y\°

y=540\°-425\°=115\°

6 0
4 years ago
Is the equation linear 3y=20+x
Verizon [17]
The answer will be yes.

Why?

Well, you know that's it's a linear equation/ function if the exponents are only 1. And by looking at this equation you'll see that there are no exponents other than 1. So the answer is yes, it is a linear equation.

4 0
3 years ago
Jim has 1/3 of a cup of milk he adds 2/3 to it. How much milk does the cup have know.
Arturiano [62]

Answer:

3/3 (1)

Step-by-step explanation:

1/3 plus 2/3 is 3/3.

Since the denominators are the same, you just keep the number the same and add the numerators (top numbers)

7 0
3 years ago
What is the volume of the playhouse shown below?
Nana76 [90]

Answer:

V = 17.25m cubed

Step-by-step explanation:

Break up the shape into a rectangular prism and a triangular prism. First, find the volume of the rectangular prism. This volume is calculated by the formula b*w*h which would be (2.5)(3)(1.4) which gives the answer 10.5m cubed. Then, find the volume of the triangular prism. The triangular prism can be divided into two triangular prisms so that multiplying b*h of one of them will give the area for the face of both of them (since the formula for the area of the face of a triangle is 1/2b*h) which is necessary for calculation since the formula  formula for finding the volume of a triangular prism is A*h. Finding the area of the entire face by multiplying 1.25 and 1.8 will give the answer 2.25m squared.   Even though the height for the calculation of the area is 1.8, it's not the height for the calculation of the volume because the height must be found with the triangular face being on the bottom of the prism. Therefore, in order to find the volume, you would do (2.25)(3) in order to get 6.75m cubed. All that is left is to add the 10.5m and 6.75m to get the final answer of 17.25m cubed.

3 0
3 years ago
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