All categories

3 years ago

Brainliest to first correct answer.

Mathematics

2 answers:

dsp733 years ago

8 0

Answer: D. L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

Step-by-step explanation: Since L1 and L3 are both perpendicular to L2, L4 is parallel to L1 if L1 is parallel to L3

Juliette [100K]3 years ago

6 0

Answer:

The correct option is D.

Step-by-step explanation:

It is given that L1 is perpendicular to L2, L2 is perpendicular to L3, and L3 is parallel to L4.

L1 ⊥L2, L2 ⊥ L3, L3║L4.

If one line perpendicular to second line and second line perpendicular to third line, then first and third line are parallel.

$L_1\perp L_2,L_2\perp L_3\Rightarrow L_1\parallel L_3$

Using transitive property of parallel lines.

$L_1\parallel L_3,L_3\parallel L_4\Rightarrow L_1\parallel L_4$

L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

Therefore the correct option is D.

You might be interested in

What is the solution set of 2 x(x-1) =3?

Llana [10]

Answer: x=3

Step-by-step explanation:

5 0

3 years ago

Please help meee !!!!

schepotkina [342]

Here are the answers: they are in red

5 0

2 years ago

Independent random samples are selected from two populations and are used to test the hypothesis H0:(μ1−μ2)=0H0:(μ1−μ2)=0 agains

lozanna [386]

Answer:

a. We do not have enough evidence to conclude that the two means differ.

b. There is no difference in the population means.

Step-by-step explanation:

a) Results of the test:

Having p - value to be very high, we have strong evidence of not rejecting H o and hence,

We do not have enough evidence to conclude that the two means differ.

b) For a one tailed test,

p - value = 0.115/2 = 0.0575

Interpretation: p - value is the probability of getting the difference as small as obtained in the sample, given that the null hypothesis is true i.e. there is no difference in the population means.

7 0

3 years ago

The width of a rectangle field is 3h yards and its length is 3 yards longer than the width. The field has a fence around its per

d1i1m1o1n [39]

Answer:

Part a) $P=(12h+2)\ yd$

Part b) The expression that represent the cost of fencing the field is $(336h+56)$

Part c) $\$1,736$

Step-by-step explanation:

<u>The complete question in the attached figure</u>

Part a) we know that

The perimeter of the rectangular field (excluding the width of the gate) is equal to

$P=2(L+W)-4$

we have

$L=(3h+3)\ yd\\W=3h\ yd$

substitute the given values

$P=2(3h+3+3h)-4$

$P=2(6h+3)-4\\P=12h+6-4\\P=(12h+2)\ yd$

Part b) we know that

To find out the cost of fencing the field (excluding the gate) , multiply the perimeter by the cost of $28 per yard

$28(12h+2)=336h+56$

Part c) we have

h=5

substitute the value of h in the expression of the cost

$336(5)+56=\$1,736$

8 0

3 years ago

Chelsea made 15 of the 28 recipes she downloaded from the Internet. What percent of the recipes did she make?

Elanso [62]

Hello there!

28 recipes .......> 100%
15 recipes .......> x%

Cross multiply
28x = 15*100
28x = 1500
x= 1500/28
x ≈ 53.5%

She makes 53.5% of the recipes.

I hope that helps!

5 0

3 years ago