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3 years ago

How do I solve this problem?

Mathematics

1 answer:

Brums [2.3K]3 years ago

4 0

This looks crazy hard!!!!!

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In the figure, AB║CD and ∠EIA is congruent to ∠GJB Complete the following statements to prove that ∠IKL is congruent to ∠DLH.

Finger [1]

Here it is given that AB || CD

< EIA = <GJB

Now

∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)

∠EIA ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)

∠IKL + ∠IKC 180° and ∠DLH + ∠JLD =180° (Linear Pair Theorem)

m∠IKL + m∠IKC = 180° ....(1)

But ∠IKC ≅ ∠JLD

m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)

So we have

m∠IKL + m∠JLD = 180°

∠IKL and ∠JLD are supplementary angles.

But ∠DLH and ∠JLD are supplementary angles.

∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)

7 0

2 years ago

Read 2 more answers

Which two integers does the value of √88 lie?

Marizza181 [45]

88=4*22=> sqrt88=2sqrt22
sqrt22 is approximately sqrt25=5
so 4 < sqrt22 < 5
8 < 2sqrt22 < 10
8 < sqrt88 < 10

6 0

3 years ago

3.1 .31 1.3 .13 from least to greatest

katen-ka-za [31]

Hello there!

The answer is:
.13
.31
1.3
3.1

8 0

3 years ago

4 + h - 8 - h expression

Bond [772]

4+h+-8+-h

(h+-h)+(4+-8)

Answer is =-4

6 0

3 years ago

Which of the following are incorrect expressions for slope?

vfiekz [6]

Answer:

Option B and C are correct.

$\frac{x_2-x_1}{y_2-y_1}$

$\frac{run}{rise}$ are the expression incorrect for slope

Step-by-step explanation:

Slope is defined as the change in the dependent variable relative to the change in the dependent variable

or the ratio of the horizontal changes to vertical changes between any two points on the graph of the line.

The vertical changes between any two points is rise

The horizontal changes between any two points is run.

Formula for slope is given by:

For any two points $(x_1, y_1)$ and $(x_2, y_2)$

then slope is:

$\text{Slope} =\frac{rise}{run}= \frac{y_2-y_1}{x_2-x_1}$

or we can write this as:

Δy = $y_2-y_1$

Δx = $x_2-x_1$

⇒ $\text{Slope} = \frac{\triangle y}{\triangle x}$

Therefore, the expression which are incorrect for slope are;

$\frac{x_2-x_1}{y_2-y_1}$

$\frac{run}{rise}$

8 0

2 years ago

Read 2 more answers