Answer:
see explaination
Step-by-step explanation:
length (l) = 2x+7
width (b) = 9x
area of rectangle = l×b
=(2x+7)(9x)
=18x^2+63x
perimeter of rectangle = 2(l+b)
=2(2x+7)(9x)
=2(18x^2+63x)
=36x^2+126x
(13+14)+11= 13+(14+11)
Associative property of addition
Answers:
angle2 = 160 degrees
angle3 = 10 degrees
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Explanation:
The two triangles are congruent. We can prove this using SSS. The upper triangle is a mirrored copy of the lower triangle.
Since angle1 = 160 degrees, this means angle2 = 160 also. This is because the corresponding pieces of congruent triangles match up. Or you could use the second part of the hint which says "Opposite angles in a rhombus are congruent".
Let x be the measure of angle 3. For either isosceles triangle, it has congruent base angles measured x degrees. They add to the 160 degrees mentioned earlier to get a total of 180.
160+x+x = 180
2x+160 = 180
2x = 180-160
2x = 20
x = 20/2
x = 10
Angle 3 is 10 degrees.
Answer: 80
Step-by-step explanation:
Answer: A vertical stretch of 4 and a translation of -2 units in the x-direction.
Step-by-step explanation:
Changes of the parent function can be written, in this case as <em>a</em>f(x)(x - <em>k</em>) where <em>a</em> is the stretch factor and <em>k</em> is the movement left or right on the x-axis.
In this case, a = 4 and k = 2. Since the k is negative, the function will be moved -2 units on the x-axis.
<em>Learn more about </em><em>transformations of a parent function</em><em> here:</em>
<em>brainly.com/question/13822715</em>
