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3 years ago

How do I solve for the missing angle?!And please include explanations on how you got the answer

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

5 0

Answer:

75°

Step-by-step explanation:

In triangle FBG, one angle is 36. That means the other two must total 180-36=144. Assigning each one 72, their supplementary angle on the interior of the pentagon would be 108.

In triangle JDI, one angle is 39. That means the other two must total 180-39=141. Assigning each one 70.5, their supplementary angle on the interior of the pentagon would be 109.5

We now have 4 of the interior angles. Pentagons have an interior total of 540. 540-108-108-109.5-109.5=105

x is the supplement of 105. 180-105=75

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NikAS [45]

For any triangle, the 2 shortest sides added together have to be longer than the longest sides.

short side (10) + short side (5) needs to be greater than (>) longest side (20)

10 + 5 > 20

15 > 20

This inequality is incorrect, so the lengths cannot make a triangle.

Hope this helps :)

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3 years ago

Name the sides of the following angle.

IgorLugansk [536]

Answer:

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3 years ago

Read 2 more answers

In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known t

Komok [63]

Answer:

What is the probability that a randomly selected family owns a cat? 34%

What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat? 82.4%

Step-by-step explanation: We can use a Venn (attached) diagram to describe this situation:

Imagine a community of 100 families (we can assum a number, because in the end, it does not matter)

So, 30% of the families own a dog = .30*100 = 30

20% of the families that own a dog also own a cat = 0.2*30 = 6

34% of all the families own a cat = 0.34*100 = 34

Dogs and cats: 6

Only dogs: 30 - 6 = 24

Only cats: 34 - 6 = 28

Not cat and dogs: 24+6+28 = 58; 100 - 58 = 42

What is the probability that a randomly selected family owns a cat?

34/100 = 34%

What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?

A = doesn't own a dog

B = owns a cat

P(A|B) = P(A∩B)/P(B) = 28/34 = 82.4%

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3 years ago

Read 2 more answers

Can someone pls help me answer this :/

eimsori [14]

Answer:

y = - $\frac{3}{2}$ x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = $\frac{0-6}{4-0}$ = $\frac{-6}{4}$ = - $\frac{3}{2}$

Since the line crosses the y- axis at (0, 6) ⇒ b = 6

y = - $\frac{3}{2}$ x + 6 ← equation of line

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3 years ago

I would appreciate if someone could answer this question I will give a brainlist for whoever explains and answers ;)

AleksandrR [38]

Answer:

Since this is a right triangle with one angle and hypotenuse given and opposite side unknown, we can use the definition of sine to find the unknown side.

sin 17 = x/hypotenuse = x/19

x = 19sin17 = 5.6

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3 years ago

How do I solve for the missing angle?!And please include explanations​ on how you got the answer

How do I solve for the missing angle?!And please include explanations on how you got the answer