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Hitman42 [59]
3 years ago
9

Someone pls help me with this.

Mathematics
2 answers:
Assoli18 [71]3 years ago
4 0

Answer: m∠D = 65°

Step-by-step explanation:

The best solve method for problems like this is say the sum of the angle values equals 360.

2x-15+2x-15+x+x = 360

Then from here you just simplify.

4x+2x-30 = 360

6x = 390

x = 65

So the measure of Angle D equals 65 degrees.

Zigmanuir [339]3 years ago
3 0

We know, sum of all angles of a quadrilateral is 360°.

Therefore, angle A + angle B + angle C + angle D = 360°

or, (2x-15)+x+(2x-15)+x = 360

or, 6x-30 = 360

or, 6x = 360+30

or, 6x = 390

or, x = 390/6 = 65

Therefore, measure of angle D = x° = 65°

The answer is option d. 65°

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I don't need you to work it out, just theorem(s) i need to reach the answer :)
VikaD [51]
Not sure why such an old question is showing up on my feed...

Anyway, let x=\tan^{-1}\dfrac43 and y=\sin^{-1}\dfrac35. Then we want to find the exact value of \cos(x-y).

Use the angle difference identity:

\cos(x-y)=\cos x\cos y+\sin x\sin y

and right away we find \sin y=\dfrac35. By the Pythagorean theorem, we also find \cos y=\dfrac45. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if \tan x=\dfrac43, then (by Pythagorean theorem) \sec x=\dfrac53, so \cos x=\dfrac35. And from this, \sin x=\dfrac45.

So,

\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}
7 0
3 years ago
I<br> -72<br> –54<br> -36<br> y<br> 25<br> 13<br> 1<br> What is the y-intercept of the line?
Allisa [31]

Answer:

  -23

Step-by-step explanation:

As I increases by 18, y decreases by 12. From the last value in the table, I needs to increase by 2·18 for it to become zero. Hence the y-intercept will be 2·12 less than the last value in the table:

  1 - 2·12 = -23 . . . the y-intercept

6 0
3 years ago
Please help I will give brainliest IF IT IS CORRECT
Andreyy89

Answer:

third graph and (3, -1)

Step-by-step explanation:

y = 2/3x - 3

y = -2x + 5

2/3x - 3 = -2x + 5

2 2/3x = 8

8/3x = 8

8x = 24

x = 3

find 'y'

y = -2(3) + 5

y = -1

The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5

5 0
2 years ago
Hii! Please helpppp!! This was due like 3 days ago lol
Aleksandr-060686 [28]

Fergus has 3 1/4 cups of oats

= 13/4 cups of oats

Oatmeal bars = 2 2/3

= 8/3 cups of oatmeal used

Therefore cups of oats left = 13/4 - 8/3

= 39/12 - 32/12

= 7/12 cups of oats left

She borrowed 1 cup of oats from neighbour

7/12 + 1/1

= 7/12 + 12/12

= 19/12 cups of oats

Blueberry oats muffin = 1 3/4 cups of oats

= 7/4 cups of oats

Total she will have now = 19/12-7/4

= 19/12 - 21/12

= - 2/12

= -1/6

Which means she needs 1/6 cup of oats more

Therefore its option 4

Must click thanks and mark brainliest

4 0
2 years ago
Read 2 more answers
At highland falls pumpkin growing contest, the prize winning pumpkin contains 360 seeds. The proud farmer plans to sell his seed
saul85 [17]
The way to find this out is you want to take the number of seeds and divide it by the amount he would like in the pack. You want to see how many 12s can fit into 360. 360/12 if you divide 360 by 12, you will come to your total and final answer of 30 :)
5 0
3 years ago
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