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Morgarella [4.7K]
3 years ago
7

What’s the size of angle x

Mathematics
1 answer:
ki77a [65]3 years ago
7 0

Answer:

65 degrees.

Step-by-step explanation:

It's hard to explain, but I'll try:

The outside of the first two angles is 105 and 140. Half a whole angle is 180. So, you do

180-140=40. The inside is 40.

And then 180-105=75.

Then you add the two and subtract them from 180:

40+75= 115

180-115=65

Voila!

You might be interested in
How long will it take a $2 000 investment to earn $544 in interest at a 1.7 interest rate
lozanna [386]

Answer:

16 years

Step-by-step explanation:

1.7% of 2000 is $34

$544 divided by $34 = 16 years, that is if the interest is yearly and not monthly though

7 0
3 years ago
Somebody please help me out!
dmitriy555 [2]
Since the triangles are similar, all sides are proportional by the same scale factor.
The relationship between the bases 32 and 8 is 4 (32/8 = 4). This means that the smaller triangle need to be multiplied by a scale factor 4 to result in the bigger triangle.
This means that 4x + 12 is 4 times greater than 15.
The equation to solve for x can be written as:
4x + 12 = 4*15
Now just solve for x as u normally would
4x + 12 = 60
(Subtract twelve from both sides)
4x = 48
(Divide both sides by 4 to isolate x)
x = 12

I hope this somewhat helped :)
Was my explanation clear enough?
4 0
3 years ago
A survey was conducted to measure the height of men. In the survey, respondents were grouped by age. In the 20-29 group the grou
kotykmax [81]

Answer:

(a) The probability that his height is less than 66 inches is 0.2743.

(b) The probability that the height is between 66 and 71 inches is 0.4679.

(c) The probability that the height is more than 71 inches is 0.2578.

Step-by-step explanation:

The data given in the question is:

Mean (μ) = 68.4

Standard Deviation (σ) = 4

Let X denote the height of men. We will use the normal distribution z-score formula to calculate the z-score and then look up the probability in the normal probability distribution table. The z-score formula is:

z = (X - μ)/σ

(a) For P(X<66), first calculate the z value.

z = (66-68.4)/4

z = -0.6 (Look up this value in the standard normal distribution table)

P(z<-0.6) = 0.2743

The probability that his height is less than 66 inches is 0.2743.

(b) P(66<X<71)  = P(X<71) - P(X<66)

We need to find P(X<71) so, calculating the z-value:

z = (71-68.4)/4

z = 0.65

P(z<0.65) = 0.7422

P(66<X<71)  = 0.7422 - 0.2743

P(66<X<71)  = 0.4679

The probability that the height is between 66 and 71 inches is 0.4679.

(c) To find the probability P(X>71), we need to find P(X<71) and then subtract it from 1 because the normal distribution table gives values for P(X<k). We have already calculated the value of P(X<71) in part (b) so,

P(X>71) = 1 - P(X<71)

            = 1 - 0.7422

P(X>71) = 0.2578

The probability that the height is more than 71 inches is 0.2578.

3 0
3 years ago
Help I’ll give Brainly
Temka [501]

Answer:

probability = area of shaded region / total area

P = π (y²-x²) /πy²

P = y²-x²/y²

Option D is correct ...

mark me as brainliest ❤️

3 0
3 years ago
Evaluate the numerical expression8×{[(7+4)×2]-[(11-7)×4]}
alina1380 [7]

Answer:

We have:

7 + 4 = 11;

11 - 7 = 4;

11 x 2 = 22;

4 x 4 = 16;

22 - 16 = 6;

Finally, 8 x 6 = 48;

Step-by-step explanation:


3 0
3 years ago
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