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Juli2301 [7.4K]
2 years ago
12

ACE is an isosceles triangle. What is the measure of

Mathematics
1 answer:
forsale [732]2 years ago
7 0

Given that ACE is an isosceles triangle, the measure of ∠CDB is: 55°

<h3>What is an Isosceles Triangle?</h3>

The two base angles of any isosceles triangle are always congruent to each other.

Therefore:

m∠CBD = m∠CDB

m∠CBD = 180° - 125° (supplementary angles)

m∠CBD = 55°

Therefore:

m∠CBD = m∠CDB = 55°

In summary, given that ACE is an isosceles triangle, the measure of ∠CDB is: 55°

Learn more about isosceles triangles on:

brainly.com/question/11884412

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gizmo_the_mogwai [7]

Answer:

434\frac{6}{23}  

I hope this helps!

4 0
3 years ago
Please explain how to do #6 i know the work is right but i don’t understand it
mariarad [96]
Since this is part of a packet, there's a lot of prior knowledge you need to understand the question.
1) The angle of elevation is the angle between the horizontal and the light of sight from the object to the observer (see picture 1).

2) A lot of the units are from work done by an Indian astronomer. The line of sight (light blue in picture 1) is r = 3438 (I think you might have forgotten to finish writing the number). r, or 3438, is the distance from the earth to the sun used by Indian Astronomers. 

3) The table shows units in jya(θ<span>°). Jya is a Sanskrit (ancient Indian language) word. It stands for the length of half of a chord that connects two endpoints of a circle (kinda confusing and more information than you need to know - but it's the green line in picture 2).
What's important is: </span>jya(θ°) = r*sin(θ°)



Now let's tackle the problem:
1) You know that the angle of elevation is 67.5°. Using the chart, the only important value is the second from the bottom. jya(67.5°) = 3177. 

2) Remember that jya(θ°) = r*sin(θ°). 
Also remember that sine of an angle is \frac{opposite}{hypotenuse}. In this problem, r, the distance from the earth to the sun, happens to be the hypotenuse of the triangle since its the longest edge. 

3) Notice that you're dividing jya(θ°) (aka r*sin(θ°)) by r = 3438. That will give you sin(θ°) by itself. Then you're multiplying that sin(θ°) by 1 AU, which we are told is the actual distance of the hypotenuse/distance from earth to sun. Since sine = \frac{opposite}{hypotenuse} that gives you the apparent length of the opposite side = apparent height of the sun.

The math is a bit weird, but you're basically multiplying sine by the apparent distance 1AU to get the apparent height, instead of multiplying sine by the estimated height r = 3438. Dividing 3177 by 3438 gives you sin(67.5°). Then multiplying sin(67.5°) by the apparent hypotenuse, 1AU, gives you the apparent height. That's how I'm understanding it!

6 0
3 years ago
Mary and Julie both have a goal of raising $1000 for charity Mary raises $12 every four days Julie raises $19 every six days wil
deff fn [24]

Answer:

mary would have a rise of 12 and a run of 4 , making her slope , or rate of change , $3 a day . julie would have a rise of 19 and a slope of 6 , making her slope , or rate of change , $3.17 a day , since julie is raising money at a faster rstr , she would get to the goal of $1,000 first.

Step-by-step explanation:

:)

3 0
4 years ago
Juwan has a third quiz in math on Friday. His two previous quiz grades were 85 and 72. What must he make on the third quiz for h
VLD [36.1K]

Answer:

x = 107

Step-by-step explanation:

Given

Scores = 85\ and\ 72

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Required

Determine the third score

Average is calculated using;

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In this case:

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88 = \frac{85 + 72 + x}{3}

88 = \frac{157 + x}{3}

Multiply through by 3

3 * 88 = \frac{157 + x}{3} * 3

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x = 107

4 0
4 years ago
Hwy can you please help me posted picture of question
anygoal [31]
The term with degree 4 is 5 x^{4}.

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So the coefficient of of term of degree 4 is 5.

Thus correct answer is option D
3 0
4 years ago
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