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svet-max [94.6K]
3 years ago
11

A triangle has the following angle measures. 75o, 3xo, and 90o. What is the value of x?

Mathematics
2 answers:
jeyben [28]3 years ago
6 0
The Answer is 5
Knowing that there are 180* in a triangle we would add up 75 + 90 and get 165. Which leaves 15* left over. Which would mean 3(5)* = 15*.
75 + 90 + 15 = 180
natta225 [31]3 years ago
3 0

Answer:

x=5

Step-by-step explanation:

A triangle has a total of 180° in angles.

Subtract values of the known angles:

180-75-90=15

15=3x°

Then cancel out the 3 by dividing 15 by 3.

15/3=5

so, x=5

I really hope this helps! :)

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if a circle has a radius of 13 and a sector defined by a 7.4 degree arc, what is the area, in cm2, of the sector? round your ans
nika2105 [10]
For this case the area of the sector is given by:
 A = (S '/ S) * (pi) * (r ^ 2)
 Where,
 S '/ S = relation of arcs
 r: radius of the circle
 Substituting values we have:
 A = (7.4/360) * (3.14) * (13 ^ 2)
 A = 10.9080111
 Rounding off we have:
 A = 10.9 cm^2
 Answer:
 the area of sector is:
 A = 10.9 cm^2


3 0
4 years ago
Using the sum of the angle measures of a triangle,<br> m
Taya2010 [7]

Answer:

a = 2.18 units

Step-by-step explanation:

\sin \: 33 \degree =   \frac{a}{4} \\ 0.544639035 =  \frac{a}{4}  \\ a = 4 \times 0.544639035 \\ a = 2.17855614 \\ a = 2.18 \: units

5 0
4 years ago
Estimate the answer to 28.56 – 15.98 by first rounding each number to the nearest whole number. A. 13 B. 12.7 C. 12 D. 10
Scorpion4ik [409]
The answer is 12.58 rounded up it would be 13 so the correct answer is A
6 0
3 years ago
Read 2 more answers
normal population has a mean of 63 and a standard deviation of 13. You select a random sample of 25. Compute the probability tha
alexira [117]

Answer:

0.2207

Step-by-step explanation:

Here, we want to find the probability that the sample mean is greater than 25.

What we use here is the z-scores statistic

Mathematically;

z-score = (x-mean)/SD/√n

From the question;

x = 65, mean = 63, SD = 13 and n = 25

Plugging these values in the z-score equation, we have

Z-score = (65-63)/13/√25 = 2/13/5 = 0.77

So the probability we want to calculate is ;

P(z > 0.77)

This can be obtained from the standard normal distribution table

Thus;

P(z > 0.77) = 0.22065 which is 0.2207 to 4 d.p

4 0
4 years ago
In circle A, ZBAE = ZDAE.
Levart [38]

Incomplete question the complete question with the diagram is given below.

Answer:

The Correct option is second one 17 units.

Therefore the Length of BE is 17 units.

Step-by-step explanation:

Given:

∠BAE = ∠DAE

BE = 3x - 24

DE = x + 10

To Find :

Length of BE = ?

Solution:

∠BAE = ∠DAE        .........Given:

As Chords that subtend congruent angles are congruent. That is equal angles subtends equal chords.

So , the chord BE and DE are equal

Substituting the values we get

BE=DE\\3x-24=x+10\\2x=34\\\\x=\dfrac{34}{2}=17\\\\x=17\ units

Therefore the Length of BE is 17 units.

5 0
3 years ago
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