Answer:
11.2
Step-by-step explanation:
If the rectangulars are similar then we can use similarity ratio to calculate value of x
CD is similar to RS and AB is similar to QP
4/6.4 = 7/x cross multiply expressions
4x = 44.8 divide both sides by 4
x = 11.2
X = measure of angle 1
y = measure of angle 2
z = measure of angle 3
w = measure of angle 4
Focus on the bottom triangle. The three angles add to 180 degrees
(angle 2) + (angle 3) + 116 = 180
y+z+116 = 180
y+z= 180-116
y+z= 64
Since we have the bottom triangle as isosceles, this means that y = z, so
y+z = 64
y+y = 64
2y = 64
y = 64/2
y = 32
making z = 32 as well
Similarly, angle 1 and angle 4 are 32 degrees because the 116 angle is opposite the top left-most angle, and congruent to this angle. In other words, the bottom triangle is a mirror image of the top triangle.
The figure is a rhombus because all four sides are the same length (as shown by the tickmarks)
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Answer:
This figure is a rhombus
All four angles (angle 1 through angle 4) are the same measure. They are each 32 degrees
I believe that its easier to understand the multiplication of a radical than that of a polynomial.
<h3>How to illustrate the information?</h3>
In mathematics, a radical is the opposite of an exponent that is represented with a symbol '√' also known as root.
A polynomial is an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division.
When multiplying radicals with the same index, multiply under the radical, and then multiply in front of the radical. An example is:
= 3✓2 × 4✓2
= 12✓4
= 12 × 2
= 24
The multiplication of a radical is easier.
Learn more about polynomial on:
brainly.com/question/2833285
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g(x) = -3x - 8
g(x) = 10
⇒ -3x - 8 = 10
⇒ -3x = 18
⇒ x= -6
g(-6) = 10 <==== answer is -6
