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lisabon 2012 [21]
3 years ago
13

In the figure below, ab is congruent to bc, and ae intersects bf at c. what is the measurement of

Mathematics
1 answer:
raketka [301]3 years ago
8 0

Answer:

D. 104 degrees

Step-by-step explanation:

What the information at the top tells us is that triange ABC is an isosceles triangle. In an isosceles triangle the two base angles are congruent, this means that <A=<C. Additionally, because of vertical angles we know that <C is equal to 38. So to find m<B use the expression 180-(2*38). This simplifies to 180-76, which is 104.

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The perimeter of one of the rectangular playrooms at Miss Pittypat's Day Care is 72 feet. It's width is 10 feet.
Alex17521 [72]

Answer:

The area of the rectangular playroom is 260 feet² .

Step-by-step explanation:

Given:

The perimeter of the rectangular playroom is 72 feet and it's width is 10 feet.

Now, to find its area we need the length .

So, putting the formula of perimeter we get it's length:

Let the length be l .

Perimeter = 2( length + width)

72=2(l+10)

72=2l+20

subtracting both sides from 20:

72-20=2l+20-20

52=2l

Dividing both sides by 2:

52\div2=2l\div2

26=l

Length is 26 feet.

And, to get the area we put the formula of finding the area:

Area=length\times width

Area=26\times 10

Area=260

Therefore, the area of the rectangular playroom is 260 feet² .

3 0
3 years ago
23 points!If the length of the pool is 14 1/2 feet,the width is 6 1/2, and the depth is 6 1/2 feet, what is the volume of the po
valentinak56 [21]

Answer:

The answer is 26 1/2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
99 POINTS AND BRAINLIST!!!! BE FIRST WITH THE "RIGHT" ANSWER!!
VladimirAG [237]

Answer:

The answer should be 150 x .20 = 30m/s

5 0
3 years ago
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Points A(7, -5), B(-1, -2), and C(-4, 6) form triangle ABC on a coordinate plane. According to its sides, triangle ABC is a(n) _
prohojiy [21]
Isosceles Triangle, has 2 equal sides and angles. 
7 0
3 years ago
What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = 2(x + 2)^2 + 1.
nikitadnepr [17]

Answer:

The graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up.

Step-by-step explanation:

The base of the quadratic function is

f(x) =  {x}^{2}

We can transform this function to look narrower or wider.

Looking narrower is termed a stretch.

This happens when a>1

Looking wider is termed a compression.

This happens when 0<a<1

We can also

g(x) = a {(x   + h)}^{2}  + k

+h moves the parent graph to the left by h units

-h moves the parent graph to the left by h units.

+ k moves the parent function up by k units

- k moves the parent function down by k units.

The change that occurs to

f(x) =  {x}^{2}

given

f(x) = 2( {x  + 2)}^{2}  + 1

is that, the graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up

Therefore the last choice is the correct answer.

3 0
3 years ago
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