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3 years ago

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Mathematics

2 answers:

maxonik [38]3 years ago

8 0

Yes, because there are two pairs of congruent corresponding angles

elena-14-01-66 [18.8K]3 years ago

4 0

Answer:

The correct answer is A. Yes, because there are two pairs of congruent corresponding angles.

Step-by-step explanation:

This is because to prove that two triangles are congruent, you need at least two pairs of corresponding angles.

Also, the degrees 30, 65, and 85 is equal to 180 degrees.

Hope this helps!

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Please help me solve this problem ASAP

DiKsa [7]

$\bold{\huge{\blue{\underline{ Solution }}}}$

<h3>Given :-</h3>

The right angled below is formed by 3 squares A, B and C
The area of square B has an area of 144 inches ²
The area of square C has an of 169 inches ²

We have to find the area of square A?

<h3>Let's Begin :- </h3>

The right angled triangle is formed by 3 squares

We have, 

Area of square B is 144 inches²
Area of square C is 169 inches²

We know that,

$\bold{ Area \: of \: square = Side × Side }$

Let the side of square B be x

Subsitute the required values,

$\sf{ 144 = x × x }$

$\sf{ 144 = x² }$

$\sf{ x = √144}$

$\bold{\red{ x = 12\: inches }}$

Thus, The dimension of square B is 12 inches

Area of square C = 169 inches

Let the side of square C be y

Subsitute the required values,

$\sf{ 169 = y × y }$

$\sf{ 169 = y² }$

$\sf{ y = √169}$

$\bold{\green{ y = 13\: inches }}$

Thus, The dimension of square C is 13 inches.

It is mentioned in the question that, the right angled triangle is formed by 3 squares

The dimensions of square be is x and y

Let the dimensions of square A be z

<h3>Therefore, By using Pythagoras theorem, </h3>

The sum of squares of base and perpendicular height equal to the square of hypotenuse

That is,

$\bold{\pink{ (Perpendicular)² + (Base)² = (Hypotenuse)² }}$

Here, 

Base = x = 12 inches
Perpendicular = z
Hypotenuse = y = 13 inches

Subsitute the required values,

$\sf{ (z)² + (x)² = (y)² }$

$\sf{ (z)² + (12)² = (169)² }$

$\sf{ (z)² + 144 = 169}$

$\sf{ (z)² = 169 - 144 }$

$\sf{ (z)² = 25}$

$\bold{\blue{ z = 5 }}$

Thus, The dimensions of square A is 5 inches

<h3>Therefore,</h3>

Area of square

$\sf{ = Side × Side }$

$\sf{ = 5 × 5 }$

$\bold{\orange{ = 25\: inches }}$

Hence, The area of square A is 25 inches.

6 0

3 years ago

PLS HALP MEH!!!! A soccer ball is kicked from the ground in an arc defined by the function,h(x) = -2x^2 + 8x. What is the height

AleksAgata [21]

$h(3) = -2(3)^{2} + 8(3)$
-2(9) + 24
-18 + 24
h(3) = 6

6 0

3 years ago

Read 2 more answers

What is -17/6 plus 5/4?

Ksju [112]

Answer:

exact form : -19/12 Decimal form -1.583 Mixed number form -1 7/12

Step-by-step explanation:

7 0

3 years ago

How can you isolate the variable x on one side of an inequality

Tcecarenko [31]

you combine like terms first.

for example: 2x=2+5

add up the two plus 5 so that will give you seven then you're going to divide 2 by 7 so that you isolate the x and you'll get your answer.

8 0

3 years ago

Solve this system using the Elimination method -4x - 2y =-18 x + 3y = 8

Nutka1998 [239]

Answer:

Elimination:

-4x - 2y = -18 -4x - 2y = -18

x + 3y = 8 | ×4 ------> 4x + 12y = 32 +

10y = 14

y = 1,4

x + 3y = 8

x + 3(1,4) = 8

x + 4,2 = 8

x = 3,8

4 0

2 years ago