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Lera25 [3.4K]
4 years ago
13

If sin (2x) = cos (7x), then what is the value of x

Mathematics
1 answer:
kirill115 [55]4 years ago
7 0
We know that

if  <span>sin (2x) = cos (7x)
then
(2x) and (7x) are complementary angles
so
(2x)+(7x)=90----------> 9x=90-------> x=90/9--------> x=10</span>°

the answer is
x=10°
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Identify an equation in slope-intercept form for the line parallel to y=5x+2 that passes through (-6,-1).
Roman55 [17]

Answer:

D

Step-by-step explanation:

gradient for the line y=5x+2 = 5  from y=mx+c where m =gradient

parallel lines have equal gradients thus M2=5

equation for line passing through point (-6,-1) and gradient , m=5 will be

(change in y/change in x)=M2

(y--1/x--6)=5

y+1/x+6 =5

y+1=5(x+6)

y+1=5x+30

y=5x+29

3 0
3 years ago
I need help with this two please help me
bulgar [2K]

Answer:

first question angle J. Because corresponding sides are equal. Second is 3rd one by SSS. thank me later. ❤️

5 0
4 years ago
Solve the inequality x + 2 1/2 &gt; -1/2. Graph the solution set on a number line.show your work.
antiseptic1488 [7]

Answer:

x > - 3

Step-by-step explanation:

x + 2\frac{1}{2} > - \frac{1}{2}      First turn 2\frac{1}{2} into an fraction since its easier. So it becomes \frac{5}{2}

x + \frac{5}{2} > - \frac{1}{2}

<u>   - </u>\frac{5}{2}<u>     - </u>\frac{5}{2}<u>  </u>       Do inverse operations, so subtract \frac{5}{2} from both sides.

    x > - \frac{6}{2}          Combine  - \frac{5}{2} with - \frac{1}{2}, which gives us - \frac{6}{2}

    x > - 3          Since we know that 6 divided by 2 is 3.

This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)

<-------------O--------------------------------------------------->

-5    -4     -3      -2       -1     0     1     2    3    4     5

So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.

 

4 0
3 years ago
135% of what number is 81
laila [671]

Answer:

60

Step-by-step explanation:

Of means multiply and is means equals

Let n be the unknown number

135% * n = 81

Change to decimal form

1.35 n = 81

Divide each side by 1.35

1.35n/1.35 = 81/1.35

n =60

3 0
3 years ago
A circle with circumference 6 has an arc with a 60° central angle.
Damm [24]
A circl is 360 degreees around

centralangle/360=fraction of circle
60degrees/360 degrees=1/6

so if the circumference (distance around) is 6, then 1/6 of 6 is the lenght of the arc, 1/6 of 6 is 1
th elngth is 1 unit
4 0
4 years ago
Read 2 more answers
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