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tamaranim1 [39]
3 years ago
14

Solve for x in the diagram below.

Mathematics
2 answers:
svetoff [14.1K]3 years ago
6 0

Answer:

x = 20

Step-by-step explanation:

x and 3x + 10 form a right angle, then

x + 3x + 10 = 90

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

NemiM [27]3 years ago
3 0

Answer:

x = 20

Step-by-step explanation:

The sum of the two angles is 90 degrees

x+3x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x+10-10 = 90-10

4x= 80

Divide each side by 4

4x/4 = 80/4

x = 20

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Rewrite 12/17 as a decimal number. Round to the nearest thousandth.
Natasha_Volkova [10]

Answer:

0.706

Step-by-step explanation:

Convert 12/17 to decimal by dividing the numerator by denominator.

12 ÷ 17 = 0.70588.......

The nearest thousandth is the third decimal place.

If we round up: 0.706

If we round down: 0.705

Because the fourth digit is "8", we round up.

If the digit after the one you want to round to is 5 or greater, then you round up. If the digit after is 4 or less, round down..

12 ÷ 17 = 0.70588....... ≈ 0.706

4 0
3 years ago
4. Jim and Kirk are playing a card game where they trade chips. At the beginning of the game, Jim has four times as many chips a
s2008m [1.1K]

Answer:

(a) j = 4k

(b) 4k - 18 = 18 + k

(c) Jim initially had 48; Kirk initially had 12

Step-by-step explanation:

Given

j = Jim

k=Krik

Solving (a): An equation for the amount they originally had.

From the question, we understand that j is 4 times as many as k.

Mathematically, this is:

j = 4 * k

j = 4k

Solving (b): Equation after Kirk wins

Initially Kirk had k.

To get the new expression, we add 18 to k.

This gives: 18 + k

In the same vein, Jim's number of chirps will reduce by 18.

Initially, Jim had j chirps (or 4k chirps)

To get the new expression, we subtract 18 from j.

This gives: j - 18

So, the equation is:

j - 18 = 18 +k

Solving (c): Number of chirps they started with.

In (b), we have:

j - 18 = 18 +k

Substitute 4k for j

4k - 18 = 18 + k

Collect Like Terms

4k - k = 18 + 18

3k = 36

Divide both sides by 3

k =12

Substitute 12 for k in j = 4k

j = 4 * 12

j = 48

4 0
2 years ago
Can someone help plzzz asappp :///
kow [346]

Answer:

I believe answer choice A

Step-by-step explanation:

8 0
3 years ago
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Which expression represents the area of the rectangle?
Anna007 [38]
The area of a rectangle is as follows...

Area = Base x Height

Base is given to be 3h + 5 and height is given to be 2h

Area = (3h+5)(2h) = 6h^2 + 10h which is none of the answers listed.
3 0
3 years ago
A candle is 7 in. tall after burning for 1 h. The same candle is in. tall after burning for 4 h. How tall will the candle be aft
V125BC [204]

After burning 6 hours the candle will be 4 1/2 in. tall.

8 0
3 years ago
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