Answer:
33
Step-by-step explanation:
The sum of interior angles in a rectangle is 360°
98 + 98 + 98 + 2x = 360
294 + 2x = 360
2x = 66°
x = 33
Answer:
- given
- addition property of equality
- addition property of equality
- division property of equality
- symmetric property of equality
Step-by-step explanation:
In step 2, -3x was added to both sides in accordance with the addition property of equality.
The same property lets you add 18 to both sides, as in step 3.
The division property of equality lets you divide both sides of the equation by 5. (Or, the multiplication property lets you multiply by 1/5.)
Swapping sides of the equal sign is allowed by the symmetric property of equality.
Answer: Choice C
x/w and z/(y+v)
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Explanation:
All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.
Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).
So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w
x/w is one of the answers
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Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z
Therefore,
sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)
z/(y+v) is the other answer
Side note: triangle ACD is not used at all.
Answer:
Ans = 2.53m
Step-by-step explanation:
It is a simple law of Cosine, on a right-angle triangle draw the length as 5 and the base as 7 the angle is 15°. Find x.
So x = 5² +7² - 2 (5) (7)cos 15°
Solve this and you get your answer.
Hope this was helpful :)
Answer:
-32
Step-by-step explanation:
Negative plus negative = Negative
Just add those 2 together,
(-)18 + (-) 14
Which is -32
(-) 32 = -32
