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natka813 [3]
3 years ago
12

Square ABCD and isosceles triangle BUC are drawn to create trapezoid AUCD. Square A B C D and triangle B U C are attached at sid

e B C to create trapezoid A U C D. What is the measure of angle DCU?
a.45o
b.90o
c.120o
d.135o
Mathematics
2 answers:
Art [367]3 years ago
5 0

Answer:

d) 135º

Step-by-step explanation:

Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.

After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.

B U C is isoceles, so we conclude that other two angles must have the same size, and due to the sum of the angles of a triangle being 180º, then both BUC and BCU are equal to 45º

As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.

ch4aika [34]3 years ago
4 0

Answer:

135

Step-by-step explanation:

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For the vectors u and v with magnitudes u = 88 and v = 99​, find the angle θ between u and v which makes u and v = 77.
WARRIOR [948]

Answer:

<h2>89.5°</h2>

Step-by-step explanation:

Using the vector formula u.v = |u||v|cos\theta

|u| = magnitude of vector u

|v| = magnitude of vector v

u.v is the dot product of vector u and v

Given |u| = 88, |v| = 99 and u.v = 77, to get \theta we will substitute the given values into the equation above;

77 = 88*99cos\theta\\cos\theta = \frac{77}{88*99} \\cos\theta = \frac{77}{8712} \\cos\theta = 0.008838\\\theta = cos^{-1} 0.008838\\\theta = 89.5^{0}

4 0
2 years ago
On Friday, 3/5 of the students wore blue shirts and 1/4 of the students wore white shirts. What fraction of the students wore ei
velikii [3]
Since 3/5 of the students wore blue shirts and 1/4 of the students wore white shirts, you need to find the Total of 3/5 and 1/4.
First, step find a common denominator for both fractions
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6 0
3 years ago
Darius deposits $300 into a new savings account. The account earns interest at a rate of 2.18% every 6 months. How much money do
vlada-n [284]
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3 years ago
-x^4y^2+7x^3y^3-3xy^5+2x^2y^4 in descending powers of x
muminat

Answer:

  -x^4y^2 +7x^3y^3 +2x^2y^4 -3xy^5

Step-by-step explanation:

The powers of x in the terms of the given expression are ...

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so, we want to swap the last two terms to put them in the desired order:

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3 years ago
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Step-by-step explanation:

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