Write an equation of the line passing through point P(0, −1)P(0, −1) that is parallel to the line y = −2x+3y = −2x+3.

Need help ASAP! please help

Alisiya [41]

The missing angles in the triangle is as follows:

∠1 = 62.5°
∠2 = 62.5°
∠3 = 55°
∠4 = 75°
∠5 = 50°

<h3>How to find the measure of angles in a triangle?</h3>

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

∠3 = 55 degrees (vertically opposite angles)

Vertically opposite angles are congruent to each other.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Using exterior angle theorem ,

105 = ∠5 + 55

∠5 = 105 - 55

∠5 = 50 degrees

∠4 = 180 - 50 - 55

∠4 = 75 degrees

Therefore, the other triangle is an isosceles triangle. This means the base angles are equal.

Hence,

∠1 = ∠2 = x

2x + 55 = 180

2x = 180 - 55

2x = 125

x = 125 / 2

x = 62.5 degrees.

Hence,

∠1 = ∠2 = 62.5 degrees.

learn more on angles here: brainly.com/question/28641859

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5 0

1 year ago

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andreev551 [17]

I can’t see the photo is blurry

5 0

3 years ago

Read 2 more answers

A plane left 30 minutes late than its schedule time and in order to reach the destination 1500 km away in time it had to increas

schepotkina [342]

Let x= the usual speed
1500/x would equal how long it usually took the plane to read the destination
1500/(x+100) would equal how long it would take the plane now
So $\frac{1500}{x} - \frac{1500}{x+100} = \frac{1}{2}$ because it would lose 30 minutes already
Simplify:
$\frac{1500(x+100)-1500x}{x(x+100)} = \frac{1}{2}$
$\frac{1500x+150000-1500x}{x^2+100x} = \frac{1}{2}$
$\frac{150000}{x^2+100x} = \frac{1}{2}$
$\frac{300000}{x^2+100x} =1$
$300000= x^{2} +100x

x^2+100x-300000=0

x^2+600x-500x-300000=0

x(x+600)-500(x+600)

(x-500)(x+600)

x=500, x \neq -600
$

The usual speed was 500 hm/hr

7 0

3 years ago

Each grade level at a school for magic has 289 students. There are 12-grade levels.

Morgarella [4.7K]

Answer:

3468 students

Step-by-step explanation:

289 x 12 = 3468

8 0

2 years ago

At a restaurant, 80 percent of the diners are new customers P(N)=0.8, while 20 percent are regular customers P(N’)=0.2. And, 50

Rina8888 [55]

Answer:

c. 0.7404

Step-by-step explanation:

We can use Bayes Formula,

$P(N|C) = \frac{P(C|N)*P(N)}{P(C)}$

We know every single value of that expression except P(C). We can calculate C by dividing into 2 cases: if the customer is new or not.

By the total probability theorem, we know that P(C) = P(C|N)*P(N) + P(C|N')*P(N') = 0.5*0.8 + 0.7*0.2 = 0.4+0.14 = 0.54

We replace P(C) on the equation above and we obtain

$P(N|C) = \frac{P(C|N)*P(N)}{P(C)} = \frac{0.5*0.8}{0.54} = 0.7407$

Thus, P(N|C) = 0.7407. Answer c is correct

I hope this helped you!

4 0

3 years ago