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3 years ago

Find the measure of the missing angles in this triangle

Mathematics

1 answer:

SashulF [63]3 years ago

5 0

Sum of all angles on one line is 180 degrees.

We have the exterior angle for one angle, so the interior angle = 180 - 136 = 44 degrees.

That angle is the same angle as the one to the right, because those two sides are the same, hence these two angles must be the same.

The sum of all angles in a triangle is 180 degrees. The remaining angle = 180 - 44 - 44 = 92 degrees.

The correct answer is: 44, 44, 92.

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3 years ago

What is £56 divided in a ratio of 3:5?

Luda [366]

First, add the ratio together to get the denominator of the fraction you will use to determine the share. 3+5= 8. Now, you have two fractions: 3/8 and 5/8. Next, just find 3/8 and 5/8 of 56 to get your answers:
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3 years ago

In a recent survey, 15 out of 45 people said they prefer virtual school. Based on this sample, how many people in a population o

Mrrafil [7]

Answer:I want to go to school

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3 0

3 years ago

An angle measures 19.4° more than the measure of its complementary angle. What is the measure of each angle?

8090 [49]

Answer:

37.8+52.2=90

Step-by-step explanation: x + (x + 14.4) = 90

2x + 14.4 = 90

2x = 75.6

x = 37.8 (one angle)

And (x + 14.4) = 52.2 (other angle).

7 0

3 years ago

In a survey of adults who follow more than one sport, 30% listed football as their favorite sport. You survey 15 adults who foll

maxonik [38]

Answer: 0.5

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_x\ p^x(q)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

$P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5$

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

4 0

3 years ago