Ask question

Ask question

All categories

3 years ago

14

Question is "solve each of the following systems using SUBSTITUTION METHOD

1 answer:

Artyom0805 [142]3 years ago

8 0

Y=3x-2
y=3(4)-2
y=12-2
y=10

I hope this helps.

You might be interested in

If JKLM is a rhombus, MK = 30, NL = 13, and mZMKL = 41°, find each measure.

oksian1 [2.3K]

Answer:

$NK = 15$

$JL = 26$

$KL = 19.85$

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = 90$

$\angle MNL =90$

$\angle KJL =41$

Step-by-step explanation:

Given

$MK = 30$

$NL = 13$

$\angle MKL = 41$

Solving (a): NK

MK is a diagonal and NK is half of the diagonal. So:

$NK = \frac{1}{2} * MK$

$NK = \frac{1}{2} * 30$

$NK = 15$

Solving (b): JL

JL is a diagonal, and it is twice of NL.

$JL = 2 * NL$

$JL = 2 * 13$

$JL = 26$

Solving (c): KL

To solve for KL, we consider triangle KNL where:

$\angle KNL = 90$

and

$KL^2 = NL^2 + NK^2$

$KL^2 = 13^2 + 15^2$

$KL^2 = 394$

$KL = \sqrt{394$

$KL = 19.85$

Solving (d - h):

To do this, we consider triangle JKN

$\angle KNL = \angle LNM = \angle MNJ = \angle JNK = 90$ -- diagonals bisect one another at right angle

Alternate interior angles are equal. So:

$\angle MKL = \angle KMJ = \angle KJL = \angle JLM = 41$

Similarly:

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 90 - 41$

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 49$

So:

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = \angle MLJ + \angle JLK$

$\angle MLK = 49 + 41$

$\angle MLK = 90$

$\angle MNL =90$

$\angle KJL =41$

5 0

3 years ago

Area of a pentagon with a radius of 8m

san4es73 [151]

Area = [radius^2 * 5 * sine (360/5)] / 2
area = [64 * 5 * 0.95106] / 2
area = <span> <span> <span> 152.1696 </span> </span> </span>

4 0

3 years ago

What is 25/99 simplified

astra-53 [7]

Answer:

i dont think you can simplify it any more

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which of the following steps were applied to abcd to obtain abcd

bulgar [2K]

Answer:

C.

Step-by-step explanation:

Move to the right 2 units,

Move down 2 units.

7 0

3 years ago

Read 2 more answers

f a bag contains 10 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-to-whole ratio of blue balloons to all balloo

pantera1 [17]

1 to 2 1:2 1/2 this should help you!

3 0

3 years ago

Read 2 more answers