Answers
Answer step-by-step
If triangle ABC is equilateral then the value of x is 3.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
ABC is an equilateral triangle.
AD is the perpendicular bisector of CB
As AC=8 units.
The other sides of triangle will be also 8 units.
D will be the midpoint of CB.
CD=4 units and DB is 4 units.
Let us consider triangle ACD
AC²=CD²+AD²
8²=4²+x²
64=16+x²
Substitute 16 from both sides.
64-16=x²
48=x²
Take square root on both sides.
x=√48
=√16×3
=4√3
Hence, if triangle ABC is equilateral then the value of x is 3.
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Related Questions
Which equation can be used to solve for x in the
following diagram?
(3x + 12)
Choose 1 answer:
3x + 12) + x = 180
(3x + 12) = x
3x = 180 + x
(3x + 12) + x = 90
Answers
The expression used to solve for x will be 3x + 12) + x = 180. The correct option is A.
What is the supplementary angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The angles having the sum of 180 degrees will be called supplementary angles.
Given that there are two angles one is 3x + 12 and the other is x separated by the inclined line on the horizontal line.
From the supplementary angle property, the sum of the two angles is equal to 180 degree.
3x + 12 + x = 180
Therefore, the expression used to solve for x will be 3x + 12) + x = 180.
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Which of the following is the measure of an acute angle?
A. 89°
B. 270°
C. 97°
D. 122°
Answers
Answer:
A
Step-by-step explanation:
An acute angle is an angle that is less than 90 degrees.
Answer:
Step-by-step explanation:
A
PLEASE HURRY
A public radio station raised 25% more during this year's fund-
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Answers
Answer:
1.25p
Step-by-step explanation:
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Type the correct answer in the box log's
Answers
Answer:
log(7) will be the correct answer.
Step-by-step explanation:
[tex]\text{\frac{14}{3}}+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})[/tex]By using law of logarithm to solve the given expression,
1). [tex]\text{log}(m)+\text{log}(n)=\text{log(mn)}[/tex]
2). [tex]\text{log(m)}-\text{log(n)}=\text{log}(\frac{m}{n})[/tex]
By applying these rules, we can simplify the given expression,
[tex]\text{log}(\frac{14}{3})+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})[/tex]
[tex]\text{log}(\frac{14}{3})+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})=\text{log}(\frac{\frac{14}{3}\times \frac{11}{5}}{\frac{22}{15}})[/tex]
[tex]=\text{log}(\frac{\frac{154}{15}}{\frac{22}{15}})[/tex]
= [tex]\text{log}(\frac{154}{15}\times \frac{15}{22})[/tex]
= log(7)
Therefore, log(7) will be the correct answer.
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 408 grams with a standard deviation of 14. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
x=21
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Step-by-step explanation:
Answer:
x= 21
x=122
I hope this will help you.
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Step-by-step explanation:
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9514 1404 393
Answer:
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Step-by-step explanation:
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Show
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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