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3 years ago

The two angles of an obtuse triangle are 230 and 470. Find the third obtuse angle

Mathematics

1 answer:

Julli [10]3 years ago

4 0

Answer:

the third obtuse angle is 110°.

Step-by-step explanation:

From the question, the 0s at the back of the given angles are meant to be degrees (°), since the sum of angles in a triangle cannot exceed 180°.

Hence, The question would be:

The two angles of an obtuse triangle are 23° and 47°. Find the third obtuse angle .

Step-by-step explanation:

In a triangle, there are three (3) angles which sum up to 180°.

Two of the angles are given which are 23° and 47°. Now, to determine the third angle which is an obtuse angle.

(NOTE: An obtuse angle is a type of angle that is greater than 90° but less than 180°).

Let the third obtuse angle be x

Then , we can write that

23° + 47° + x = 180° (Sum of angles in a triangle)

Then,

70° + x = 180°

x = 180° - 70°

x = 110°

Hence, the third obtuse angle is 110°.

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Fin find the slope of the line passing through the points (-2, -7) and (9, -7)

Verdich [7]

Answer:

The slope of the line passing through the given points (-2,-7) and (9,-7) is m=0

Step-by-step explanation:

Given that the line passing through the points (-2,-7) and (9,-7)

To find the slope of the line passing through the points :

$m=\frac{y_2-y_1}{x_2-x_1}$

Let $(x_1,y_1)$ and $(x_2,y_2)$ be the given points (-2,-7) and (9,-7) respectively

Substitute the points in the formula $m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-7-(-7)}{9-(-2)}$

$=\frac{-7+7}{9+2}$

$=\frac{0}{11}$

Therefore m=0

Therefore Slope m is 0

Therefore the slope of the line passing through the given points (-2,-7) and (9,-7) is m=0

7 0

4 years ago

The following situation calls for a significance test. State the appropriate null hypothesis <img src="https://tex.z-dn.net/?f=H

harina [27]

Answer:

$H_{0}: \sigma = 10\\$

$H_{a}: \sigma > 10\\$

Step-by-step explanation:

We are given the following in the question:

The organizers estimate that the variation in distance flown by the athletes will be σ = 10 meters.

This will be stated by the null hypothesis.

$H_{0}: \sigma = 10\\$

It was claimed that the organizers are underestimating the variation and the variation in distance is greater than 10.

This will be stated by the alternate hypothesis.

$H_{a}: \sigma > 10\\$

The parameter for the given hypothesis is standard deviation, $\sigma$ .

3 0

3 years ago

Convert 653 in base 7 to base 10

lana66690 [7]

Converting 653 to base 10.
6*102=600
5*101=50
3*100=3
Adding all to get Ans=65310

Step2 converting 65310 to 7

The equation calculation formula for 65310 number to 7 is like this below.
7|653
7|93|2
7|13|2
7|1|6
7|1|1
Ans:16227

3 0

3 years ago

How do I solve this? I will mark answer brainiest pls respond asap!

Illusion [34]

The line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

First, we need to find the line of best fit:

Let's suppose the line of the best fit is:

y = mx + c

We can find the value of m:

$\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}$ and

$\rm c = \dfrac{\sum y -m \sum x}{n}$

After calculating, we will get:

m = 4.71

d = -30.31

y = 4.71x—30.31

Plug x = 9.5

y = 14.43 ≈ 14.5 oz

Thus, the line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.

Learn more about the line of best fit here:

brainly.com/question/14279419

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6 0

2 years ago

PLEASE HELP!!<br> Identify an obtuse angle and give its measure.

WITCHER [35]

Answer:

Angle HEF

105*

Step-by-step explanation:

3 0

2 years ago