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Ostrovityanka [42]
3 years ago
14

Find the value of x that verifies that l ⊥ m.

Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0

Answer:

X= 12

Step-by-step explanation:

Simplifying

4x + -2 = 46

Reorder the terms:

-2 + 4x = 46

Solving

-2 + 4x = 46

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + 4x = 46 + 2

Combine like terms: -2 + 2 = 0

0 + 4x = 46 + 2

4x = 46 + 2

Combine like terms: 46 + 2 = 48

4x = 48

Divide each side by '4'.

x = 12

Simplifying

x = 12

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Find the next term of the following sequence.<br><br> 25, 10, 4,
arlik [135]

The given sequence is 25, 10, 4.

Notice that this is a geometric sequence because here we have equal common ratio.

So, common ratio : r = \frac{a_{2}}{a_{1}}

= \frac{10}{25}

= 0.4

So, each term is 0.4 times of it's previous term.

Hence, to get the next term of this sequence, multiply 0.4 with the third term 4.

So, fourth / next term = 4* 0.4 =1.6

Hence, next term of this sequence is 1.6.

Hope this helps you!

4 0
3 years ago
A student spent 15 minutes getting a 2-foot by 3-foot bulletin board. To the nearest tenth of a minute, how long did it take the
Cerrena [4.2K]

Answer:

The student took 2.5 minutes to paint 1 square foot.

Step-by-step explanation:

In order to know how long the student took to paint each square foot we first need to know the total area of the bulletin board. Since it is a rectangle we can compute it's area by multiplying the width and the height. That is:

area = 2*3 = 6 square foot

Since the student took 15 minutes to paint the whole board the pace at which he was working can be calculated by dividing the total area of the board by the time he took to paint all of it. So we have:

pace = 6/15 = 0.4 foot/min

To find how long it took him to paint 1 square foot we can divide it by the pace he was painting. We have:

time = 1/0.4 = 2.5 minutes

The student took 2.5 minutes to paint 1 square foot.

3 0
3 years ago
Find x in the given figures. Thanks in advance! xD
docker41 [41]

Answer:

x=8 an they are at the exact opposite side

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find x so that l || m. Show your work.
Hatshy [7]

Hello,

Answer:

x = 13

Step-by-step explanation:

    7x + 5 + 5x + 19 = 180

⇔ 12x + 24 = 180

⇔ 12x = 180 - 24

⇔ 12x = 156

⇔ x = 156/12

⇔ x = 13

6 0
1 year ago
Which ordered pair will solve the equation 2 × 4 + x = y?
Bezzdna [24]
This answer uses NMF, which you can find out about on my profile:

Preliminary work:
Following the BIDMAS order of operations, we can calculate part of it already, and that's the 2•4, which equals 8.
Therefore, the equation now reads:
8+x = y

x = 5:
8+5 = 13
13 ≠ 16
13 ≠ y

x = 4:
8+4 = 12
12 = 12
12 = y

Therefore, the pair is (4, 12)
5 0
3 years ago
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