Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.
<h3>What are the Properties of the Angles of a Parallelogram?</h3>
In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.
Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)
Angle F + angle G = 180
4x - 2 + 34 = 180
4x + 32 = 180
4x = 180 - 32
4x = 148
x = 148/4
x = 37
Value of x is: E. 37.
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Answer:
<em>Choice B. 16 feet.</em>
<em>The height of the tree is 16 ft</em>
Step-by-step explanation:
<u>Similar Triangles</u>
Similar triangles have their corresponding side lengths proportional by a fixed scale factor.
We are given the drawings of a tree and a wall and it's assumed both triangles are similar. We need to find the scale factor and find the height of the tree.
Comparing the corresponding distances from the viewer to the base of the tree and the base of the wall, we can calculate the scale factor as 24/6=4.
Applying the same factor to the height of the model, we get the height of the tree is 4*4 = 16 ft.
Choice B. 16 feet
The height of the tree is 16 ft
Answer:
C. c = -4
Step-by-step explanation:
you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal
-40/10 = c
c = -4
Answer:
There would be an overall 25% decrease
Step-by-step explanation:
Because -75 + 50 = -25
Answer:
A, B and D
Step-by-step explanation:
A. The polynomial is a trinomial.
A trinomial refers to a polynomial with three terms. This option is correct.
B. The degree of the polynomial is 6.
Degree refers to the highest power in the polynomial. This option is correct.
C. The leading coefficient is 1
This is false. The leading coefficient is the coefficient of the variable bearing the degree of the polynomial. This is wrong.
D. Written in standard form, the polynomial is –2x6 + x5 + 3.
This is correct.
