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3 years ago

asappp please someone help i’ll give brainliest. i’m trying to find x, and by what form like ASA, etc

Mathematics

1 answer:

Alex777 [14]3 years ago

3 0

Answer:

x = 40.375

Step-by-step explanation:

∠A≅∠E, ∠B≅∠F and ∠C is common and congruent to itself, therefore

ΔABC ~ ΔEFC by AA similarity

Ratio of corresponding sides is same. Get the equation below and solve for x:

EC/AC = CF/CB
x/17 = (16+22)/16
x/17 = 38/16
x/17 = 19/8
x = 17*19/8
x = 40.375

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0.884 in standard form

Darina [25.2K]

Answer:

8.84 ×10⁻¹

Step-by-step explanation:

Move one decimal to the right to make one number go after the decimal. (ONLY one number from 0 - 9)

0.884 to 08.84

Now with how many times the decimal moves, it determines the power. Left equals positive and right is negative.

Standard form goes with × 10ˣ

the x next to 10 is the power.

The decimal moved 1 right so the power would be -1.

So,

8.84 × 10⁻¹

4 0

3 years ago

Read 2 more answers

(2,-1) y-intercept -3 slope 1/2 Write an equation with the given info above.

jek_recluse [69]

y-intercept -3

slope 1/2

is sufficient info with which to write an equation for a straight line:

y = mx + b becomes y = (1/2)x - 3.

You should check this by determining whether or not (2,-1) satisfies this equation.

4 0

3 years ago

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two

Oliga [24]

Let

x-------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of the rectangle is equal to

$A=x*y$

The area of the two congruent right triangles is equal to the area of the rectangle

$A=2*44=88\ in^{2}$

$88=x*y$ -------> equation A

$y=x-3$ -----> equation B

Substitute equation B in equation A

$x*[x-3]=88$

$x^{2} -3x-88=0$ --------> equation that can be used to solve for the length of the rectangle

Using a graph tool-------> solve the quadratic equation

see the attached figure

The solution is

$x=11\ in$ -----> the length of the rectangle

Find the value of y

$88=11*y$

$y=8\ in$ ----> the width of the rectangle

Statements

case A) The area of the rectangle is $88$ square inches

The statement is True

See the procedure

Case B) The equation $x*[x-3]=44$ can be used to solve for the dimensions of the triangle

The statement is False

Because, the equation $x*[x-3]=88$ can be used to solve for the dimensions of the triangle

case C) The equation $x^{2} -3x-88=0$ can be used to solve for the length of the rectangle

The statement is True

see the procedure

case D)The triangle has a base of $11$ inches and a height of $8$ inches

The statement is True

Because, the base of the triangle is equal to the length of the rectangle and the height of the triangle is equal to the width of the rectangle

case E) The rectangle has a width of $4$ inches

The statement is False

See the procedure

8 0

3 years ago

Read 2 more answers

I need some help...

bixtya [17]

-------------------------------------
Question
-------------------------------------
17x³ + (3x + 8x³)

-------------------------------------
Remove the bracket
-------------------------------------
17x³ + 3x + 8x³

-------------------------------------
Combine like terms
-------------------------------------
25x³ + 3x

-------------------------------------
Take out common factor
-------------------------------------
x(25x² + 3)

-------------------------------------
Answer: x(25x² + 3)
-------------------------------------

7 0

3 years ago

Mike's plant grew 3 inches last week. Lauren's plant grew 2 1/2 times this amount. how many inches did Lauren's plant grow last

soldier1979 [14.2K]

Mike's plant plant height grew by 3 in
Lauren's grew 2 1/2 times of 3 in

So, 2 1/2 times of 3 in
= 2 1/2 x 3
= 5/2 x 3
= 15/2 = 7 1/2 inches

Hope This Helps You;

3 0

4 years ago

Read 2 more answers