Answer:
d is 8.4 units
m∠E is 40.3°
Step-by-step explanation:
Let us use the cosine rule to find the side d and then use the sine rule to find the measure of angle E
- Cosine rule is d² = e² + f² - 2(e)(f)(cos D)
- Sine rule is
In Δ DEF
∵ EF is represented by d
∵ DF = 6 units and is represented by e
∴ e = 6
∵ DE = 9 units and is represented by f
∴ f = 9
∵ m∠D = 65°
- Substitute the values of e, f and m∠D in the cosine rule above
∴ d² = (6)² + (9)² - 2(6)(9)(cos 65°)
∴ d² = 71.35722773
- Take √ for both sides
∴ d = 8.447320743
- Round it to the nearest tenth
∴ d = 8.4 units
Now let us use the sine rule to find m∠E
∵
- By using cross multiplication
∴ 8.4 × sin(E) = 6 × sin(65)
∴ 8.4 sin(E) = 6 sin(65)
- Divide both sides by 8.4
∴ sin(E) = 0.647362705
- Use to find m∠E
∴ E = (0.647362705)
∴ m∠E = 40.34305
- Round it to the nearest tenth
∴ m∠E = 40.3°
Answer:
I think the answer is CBE and ABD
Step-by-step explanation:
supplementary is two angles that's sum is 180 hope this helped
Answer:
the missing length is 5
Step-by-step explanation:
Since we are given similar triangles, we can simply use proportions to solve the problem:
we say that 2 is to side of length 4, the same as m is to side lengths 10. And in math terms:
There are 5 vowels in the alphabet: A, E, I, O, and U.
The alphabet consists of 26 letters.
So, B , 5/26 are vowels. and would be your chance of picking one.
Hope this helps!
Solution to equation for all real values of x is .
<u>Step-by-step explanation:</u>
Here we have , . Let's solve :
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By quadratic formula :
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But at we have equation undefined as . Hence only solution is :
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Since ,
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Now , General Solution is given by :
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Therefore , Solution to equation for all real values of x is .