Answer:
1.5
Step-by-step explanation:
Because the triangle are similar, they possess a proportional relationship in which the one triangle's side length is dilated by a unknown factor (y) to make its corresponding counterpart. Using this knowledge we can make the following two equations
3y=7 & xy=x+2 y is the variable representing the dilation factor
y=7/3 find the value of y
x(7/3)=x+2 substitute the value y into the equation
7/3x =x+2 solve for x
4/3x =2
(3/4)(4/3x)=2(3/4) multiply by the reciprocal
x=1.5
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Answer:</h3>
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Step-by-step explanation:</h3>
Q1. Flip counts numbers that are in the sequence ...
777 - 8n . . . . . for some positive integer n
This expression can be factored as ...
8(97 -n) +1
which is to say that the numbers in Flip's sequence are 1 more than a multiple of 8. The number among the answer choices that matches that description is ...
129 = 16·8 +1 . . . . . corresponding to 97-n = 16, or n = 81
Flip counted the number 129.
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Q2. Let a and p represent the costs of an apple and a pear, respectively. Then we have ...
Substituting the expression for "a" in the second equation into the first equation, we get
5(p +0.15) = 6p
5p + 0.75 = 6p
0.75 = p
Then 12p = 12·$0.75 = $9.00 is the cost of 6 pears and 5 apples (since 5 apples cost the same as 6 pears).
The cost of interest is $9.00.
Answer:
Assume x is directly proportional to y :
when y is 9, x is 2:
substitute to find value of k :
Therefore, equation is:
Answer: A) none of the equations are identities
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Part 1
Plug in theta = 0
sin(theta+pi/2) - cos(theta+pi/6) = 2*cos(theta) - sin(theta)
sin(0+pi/2) - cos(0+pi/6) = 2*cos(0) - sin(0)
1 - sqrt(3)/2 = 2*1 - 0
0.13 = 2
which is a false equation
So we do not have an identity in equation 1.
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Part 2
Plug in theta = 0
sin(theta+pi/6) + cos(theta+pi/3) = (sqrt(2)/3)*sin(theta) + 2*cos(theta)
sin(0+pi/6) + cos(0+pi/3) = (sqrt(2)/3)*sin(0) + 2*cos(0)
1/2 + 1/2 = 0 + 2
1 = 2
which is also false
This is not an identity either.