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3 years ago

Please use the image below in order to find out the answer to the following question:

Mathematics

1 answer:

vesna_86 [32]3 years ago

7 0

<u>Given</u>:

The measure of ∠EGF is 51°

We need to determine the measure of ∠EHF

<u>Measure of ∠EHF:</u>

By inscribed angle theorem, we know that, "if two inscribed angles of a circle intercept the same arc then the angles are congruent".

Applying the theorem, we have that the two inscribed angles of a circle intercepting the same arc are ∠G and ∠H

Then, the two angles are congruent.

Thus, we have;

∠G ≅ ∠H

Therefore, the measure of ∠G = ∠H = 51°

Hence, the measure of ∠EHF = 51°

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The points (2,1) and (3,r) fall on a line with a slope of - 5. What is the value of r?

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R=-4
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3 years ago

Can you conclude from the figure that ABC is similar to DEF? Explain.

pishuonlain [190]

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.

8 0

2 years ago

PLEASE HELP!!!!!

Katena32 [7]

Answer:6018

Step-by-step explanation:

Given Sequence

$-282-266-250-234.....$

It represent an A.P. with

first term $a=-282$

common difference $d=16$

So sum of 51 term

$S_n=\frac{n}{2}[2a+(n-1)d]$

$S_{51}=\frac{51}{2}\times [2\times (-282)+(51-1)16]$

$S_{51}=\frac{51}{2}\times [-564+800]$

$S_{51}=\frac{51}{2}\times [236]$

$S_{51}=51\times 118$

$S_{51}=6018$

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3 years ago

Can someone help me with this

lozanna [386]

Answer:

the answer is 2.5 which in not greater than 6 but less than 5

Step-by-step explanation:

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3 years ago

Read 2 more answers

Identify the range of the function shown in the graph.

Vladimir [108]

Answer:

All real numbers

Step-by-step explanation:

Given in the question a graph

To find the range of graph

The range is the set of possible output values, which are shown on the y-axis.

We can see in the graph that for negative values of x it have positive values, zero and negative values of y.

The graph extends vertically from (-∞,∞), along the y axis. So the range of the function shown in the graph is (-∞,∞).

Hence, it is concluded that range is All real numbers

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2 years ago