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3 years ago

I need an answer ASAP! What is the length AB if the quadrilateral is an isosceles trapezoid?

Mathematics

2 answers:

user100 [1]3 years ago

6 0

If the figure is an isosceles trapezoid, then both slanted sides have the same length. 2x+2=4. That gives you 'x', and the line on top is double-x.

Dmitrij [34]3 years ago

5 0

Answer: The length of AB is 2 units.

Step-by-step explanation: We are given that the trapezoid ABCD is an isosceles one, where

AB = 2x, BC = 2x + 2 and AD = 4 units.

We are to find the length of side AB of the trapezoid.

We know that

in an isosceles trapezoid, the lengths of two non parallel sides are equal.

So, in ABCD, we have

$AD=BC\\\\\Rightarrow 4=2x+2\\\\\Rightarrow 2x=2\\\\\Rightarrow x=1.$

Therefore, the length of AB will be

$AB=2x=2\times1=2~\textup{units}.$

Thus, the length of AB is 2 units.

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Which of the following is the missing justification?

Mandarinka [93]

Answer:

The correct answer is Option A: Multiplication Property of Equality

Step-by-step explanation:

Given equation is:

$\frac{1}{5}x+6 = 5$

The given equation is a linear equation in one variable. Different equality properties are used to solve equations like these.

First of all the denominator with 1/5x has to be eliminated for which the whole equation will be multiplied by 5

$5 * \frac{1}{5}x + 5* 6 = 5*5\\x+30= 25$

This property is called multiplication property of equality.

Hence,

The correct answer is Option A: Multiplication Property of Equality

4 0

2 years ago

Write -1/6, 5/3, -5/6 in order from least to greatest.

Andrew [12]

Answer:-

-5/6, -1/6, 5/3

Step-by-step explanation:

1. the greatest negative number always is the least number.

When you have questions like this think about it if the numbers were on a numberline.

-5/6 would go first because that number is the furthest to the left. 5/3 would be the greatest because that number is furthest to the right.

4 0

2 years ago

Can u please help me with this

Art [367]

Answer:

Acute angle, 85 degrees. That's my guess I hope it helps.

7 0

2 years ago

Which best describes the relationship between the successive terms in the sequence shown?

Alex Ar [27]

Given series is 2.4,-4.8,9.6,-19.2

To find whether it has common difference or common ratio let us find few differences and few ratios of consecutive terms.

Common difference of first 2 terms = 2nd term - first term = -4.8-2.4 = -7.2

Common difference of 2nd and 3rd terms = 3rd term - 2nd term = 9.6-(-4.8) = 14.4

Since those common differences are not equal the given series does not have common difference at all.

To check if it has common ratio or not let us find few ratios of consecutive terms.

Common ratio of first 2 terms = $\frac{2nd term}{first term}$ = $\frac{-4.8}{2.4} = -2$

Common ratio of 2nd and 3rd terms = $\frac{3rd term}{2nd term} = \frac{9.6}{-4.8} = -2.0$

So, the given series has common ratio as -2.0

7 0

3 years ago

Read 2 more answers

Pls help! will mark branliest!!! :)

Ket [755]

The area of the house is the amount of space on the house.

The length of the addition is x + 20
The area of the original house is $x^2 + 30x + 200$

<h3>The length of the addition</h3>

The area of the addition is given as:

$Area = x^2 + 10x - 200$

Expand

$Area = x^2 + 20x - 10x - 200$

Factorize

$Area = x(x + 20) - 10(x + 20)$

Factor out x + 20

$Area = (x -10)(x + 20)$

The width of the addition is x - 10.

Hence, the length of the addition is x + 20

<h3>The area of the original house</h3>

The dimension of the original house is

x + 20 by x + 10

So, the area is:

$Area =(x + 20)(x + 10)$

Expand

$Area =x^2 + 20x + 10x + 200$

This gives

$Area =x^2 + 30x + 200$

Hence, the area of the original house is $x^2 + 30x + 200$