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Elena-2011 [213]
3 years ago
13

Please help me, I’m very confused

Mathematics
1 answer:
arlik [135]3 years ago
6 0
Answer:

Step-by-Step:
(This is a right angle which = 90°)

Set an equation up:
(x-4)+(2(x+6)) = 90
x-4+2x+12 = 90
3x+8 = 90
3x=82
x = 27.3333333333
x= 27.33
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Solve the system using elimination.
Zarrin [17]

<u>The solution is (1,2)</u>

Step-by-step explanation:

 7x + 10y = 27

 x - 10y = -19                                                                                                                    +--------------------

8x = 8

Divide by 8 on both sides

x = 1

To find y substitute any of the equations to 1

7(1) + 10y = 27

7 + 10y = 27

Substract 7 from both sides

10y = 20

Divide by 10

y = 2

7 0
2 years ago
A bathtub emptied 25 liters of water into 1/3 of a minute.How many liters of water does the bath drain per minute
kaheart [24]

Answer: 8 in a liter so to fill it up 25 divide by 1/3 which will equal 5 liters

Step-by-step explanation: add

7 0
3 years ago
Suppose you have 13 tubes of paint. How many distinct color groupings can you make with your paint?
anzhelika [568]

Answer:

32767 distinct color grouping

Step-by-step explanation:

Given data:

Total tube is 13

for distinct color, group can be 1,2,3,4,.... 15

For total number of ways we have following relation

^nC_0 +^nC_1 +^nC_2 + .......^nC_n = 2^n

here n = 13 so we have

^15C_0 +^15C_1 +^15C_2 + .......^15C_{15} = 2^15

for at least one

= 2^{15} - 1

= 32768 -1

= 32767 distinct color grouping

3 0
3 years ago
Point Y is in the interior of ∠XWZ. Given that WX→ and WZ→ are are opposite rays, and m∠XWY=4(m∠YWZ) is m∠YWZ?.
EleoNora [17]

Answer:

m∠YWZ=36°

Step-by-step explanation:

Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.

If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.

Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then

m∠XWY+m∠YWZ=180°

You are given that

m∠XWY=4(m∠YWZ).

Substitute it into the previous equality:

4(m∠YWZ)+m\angle YWZ=180°

5(m∠YWZ)=180°

m∠YWZ=36°

5 0
3 years ago
Josephine has a rectangular garden with an area of 2x2
sergeinik [125]

Answer:

Fourth example, (2x - 3) and (x + 2), are possible dimensions

Step-by-step explanation:

Let's go through all the responses one by one;

First of all the area of the rectangular garden can be computed through length times width, such that:

(x^2 - 3) * (2) = 2x^2 + x - 6,

(2x + 3) * (x-2) = 2x^2 + x - 6,

(2x + 2) * (x-3) = 2x^2 + x - 6,

(2x - 3) * (x + 2) = 2x^2 + x - 6

Now in each of these examples, it should be that the products are equivalent to the area according to the length by width rule, so let's see which is truly the correct dimensions by justifying whether the product is truly equivalent to the area.

First example:

2 * (x^2 - 3) = 2x^2 - 6

Now 2x^2 - 6 ≠ 2x^2 + x - 6 so the first example is not a possibility,

Second example:

(2x + 3) * (x-2) = 2x^2- x - 6

Now 2x^2- x - 6 ≠ 2x^2 + x - 6 so the second example is not a possibility,

Third example:

(2x + 2) * (x-3) = 2x^2 - 4x - 6

Now 2x^2 - 4x - 6 ≠ 2x^2 + x - 6 so the third example is not a possibility,

Fourth example:

(2x - 3) * (x + 2) = 2x^2 + x - 6

Here 2x^2 + x - 6 = 2x^2 + x - 6 so the fourth example can act as possible dimensions

6 0
3 years ago
Read 2 more answers
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