Answer:
90
Step-by-step explanation:
90÷2= 45
90÷3=30
Answer:
33. The sheep pen is 16 square yards
Step-by-step explanation:
You can divide the rhombus inside into two triangles. Each triangle has a base of 4 yards and height 4 yards.
Area of triangle: A = 0.5*b*h = 0.5(4)(4) = 8
Since there are 2, then 2*8 = 16 square yards.
*See attached picture for the diagrams being referred to
Answer:
C. ⁵/12= ²/x
Step-by-step Explanation:
Given that rectangle EFGH is similar to rectangle JKLM, it means the corresponding sides of both rectangles are similar, and as such the ratios if the corresponding sides of rectangle EFGH and rectangle JKLM would be equal.
Thus, EF/JK = FG/KL
Since, EF = 5; JK = 12; FG = 2; and KL= x, therefore, the proportion to use in finding x would be:
⁵/12= ²/x
Answer:
Isosceles
Step-by-step explanation:
Graph your triangle!
Then, do the distance formula. So from T to I is 5 units, R to I is 5 units, and T to R is 6 units. As two side lengths are congruent, the triangle is isosceles.
Hope this helps!
Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
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<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
