Using vertical angles, it is found that:
A. The solution for y is of y = 4.
B. The angle measures are given as follows:
<h3>Vertical Angles</h3>
If two angles are opposite by the same vertex in crossing segments, these angles are called vertical angles, and they are congruent, that is, they have the same measure.
In the context of this problem, the angles of 6y + 42 and of 66 are vertical, hence the value of y is calculated as follows:
6y + 42 = 66
6y = 24
y = 24/6
y = 4.
Angles A and C are supplementary, meaning that the sum of their measures is of 180º, hence:
<C + 66º = 180º
<C = 180º - 66º
<C = 114º.
Angles C and D are vertical, hence the measure of angle D is calculated as follows:
<D = 114º.
More can be learned about vertical angles at brainly.com/question/1673457
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Answer:
=193.2 cm
Step-by-step explanation:
- Figure out the triangles first
- Area= Base times Height divided by 2
- first figure out one triangle A= (6)(5.2)/2 = 15.6 (brackets means times and the slash means divide
- times it by 2 so you get the area of both triangles (15.6)(2)= 31.2
- Now figure out the rectangles
- Area= Base times Height
- A=(6)(9) = 54
- Then times it by 3 to get the area of all three triangles
- (54)(3)= 162
- Now add 162 and 31.2 and you get 193.2 cm
Answer:
The value of c in the equation c =6.
Step-by-step explanation:
In mathematics, a perfect square or a square number is an integer that is the square of an integer. In different words, it is the product of an integer with itself. For example, 9 is a square number because it can be written in 3 × 3.
The normal notation for the square of a number n is not the product n × n, but the equivalent exponentiation n2, which is generally pronounced as "n square". The square number of the name results from the name of the form. The unit area is defined as the area of a unit square (1 × 1). Consequently, a square of lateral length n has the area n2.
Square numbers are not negative. Another way to say that an integer (not negative) is a square is to make its square root an integer again.
For example, √9 = 3, so, 9 is a quadratic number.
A positive integer that has no perfect square divisors other than one is called without a square.
24.2² = 24.2 × 24.2 =585.64=abac.
From above equation, a=5,b=8,c=6.
-q/-7≥-1
q/7≥-1
q≥-1*7
q≥-7
Solution: q≥-7 or q∈[-7,+∞).
