Answer:
A) x=8 and angle ABC=115 degrees
Step-by-step explanation:
the lines are parallel, meaning the angles are congruent.
you can set up the equation (15x-5)=(10x+35) and simplify.
1. separate variable by subtracting 10x on both sides to get (5x-5)=(35)
2. add 5 on both sides to get 5x=40
3. divide both sides by 5 to get x=8
4. plug x=8 into original function (10x+35) to get (10(8)+35) which equals 115 degrees
Answer:
B
Step-by-step explanation:
A scale model means that the ratios stay the same.
Therefore, Earth's diameter divided by Pluto's diameter is equal to the ratio of Earth's model's diameter divided by Pluto's model's diameter.
We can write this as
8000 / 1500 = 32/ Pluto's model's diameter. Representing Pluto's model's diameter as P, we can say
8000 / 1500 = 32 / P
multiply both sides by 1500 to remove a denominator
8000 = 32 * 1500 / P
multiply both sides by P to remove the other denominator
8000 * P = 32 * 1500
divide both sides by 8000 to isolate the P
P = 32 * 1500/8000
= 6 inches
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The vertices of a polygon are given as follows: P(-2,4), Q(4,2), R(4,0); S(-12,0); k = 0.5 Find the coordinates of the vertex P' of the image after a dilation having the given scale factor. Type your answers as a coordinate pair in this format: (x,y)</span>
Okay. So we have our like terms, which are the constants. Those are 2, 3, and 6. 2 * 3 is six. 6 * 4 is 24. Then x, y, and z go together, because there's not anything to combine with. So (2x)(3y)(4z) equals 24xyz.