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3 years ago

look at the figure shown below which step should be used to prove that point a is equidistant from points c and b

Mathematics

1 answer:

JulijaS [17]3 years ago

3 0

D
is certainly wrong. You could extend the length of AD as far as you want and the two triangles (ABD and ACD) would still be congruent.

C
is wrong as well. The triangles might be similar, but they are more. They are congruent.

B
You don't have to prove that. It is given on the way the diagram is marked.

A
A is your answer. The two triangles are congruent by SAS

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11. The length of a rectangle is three times its width. The perimeter of the

Elenna [48]

Answer: The length of the rectangle is 37.5 inches and the width is 12.5 inches

Step-by-step explanation: The dimensions of the rectangle is not given but we have clues given. The length is given as three times it’s width which means if the width is W, then the length would be given as 3W (three times the width). Also the perimeter is given as 100 inches and the formula for the perimeter is;

Perimeter = 2(L + W)

We can now insert the known values as follows;

100 = 2(3W + W)

100 = 2(4W)

100 = 8W

Divide both sides of the equation by 8

12.5 = W

Having calculated the width as 12.5 inches, the length now becomes

L = 3W

L = 3 x 12.5

L = 37.5

Hence the length is 37.5 inches and the width is 12.5 inches

8 0

3 years ago

Can someone answer this question for me pls n thanks

allsm [11]

Answer:

Mean: 29.5; Median: 26; Modes: 25, 26

Step-by-step explanation:

Add 10+12+25+25+26+26+30+31+33+34+47+55 = 354

Then divide it by 12 354/12 = 29.5

Mode are numbers that appear most often which in this case are 2 numbers, 25 and 26.

8 0

2 years ago

A square has a diagonal length of 5 cm. The area of the squareiscm2. Round answer to the nearest tenths ifneeded.

Whitepunk [10]

$\begin{gathered} \text{Diagonal}=5\operatorname{cm} \\ \text{Area}=\frac{D^2}{2} \\ \\ \text{Area}=\frac{(5cm)^2}{2} \\ \\ \text{Area}=\frac{25\operatorname{cm}^2}{2} \\ \\ \text{Area}=12.5\operatorname{cm}^2 \\ \text{The area of the square is 12.5 cm }^2 \end{gathered}$

6 0

1 year ago

Find x please!!<br> a.10<br> b.32<br> c.116<br> d.16

AysviL [449]

9514 1404 393

Answer:

(d) 16

Step-by-step explanation:

Angles opposite sides of the same measure are congruent. Here, the triangle is isosceles, so the base angles are congruent:

2x = 32

x = 16 . . . . . . divide by 2°

5 0

3 years ago

The sum of twice a number and seven is twenty five

Mama L [17]

9

Because 9x2 is 18+7=25

3 0

3 years ago