N = nickels and q = quarters
0.05n + 0.25q = 1.90
n = 2q + 3
0.05(2q + 3) + 0.25q = 1.90
0.10q + 0.15 + 0.25q = 1.90
0.10q + 0.25q = 1.90 - 0.15
0.35q = 1.75
q = 1.75/0.35
q = 5 ......there are 5 quarters
n = 2q + 3
n = 2(5) + 3
n = 10 + 3
n = 13 <=== there are 13 nickels
The angles are congruent and corresponding. You can find the missing angles by subtracting the existing ones from 180.
Answer:
99
Step-by-step explanation:
That quadrilateral equals to 360. So i had to add the numbers which equal 261. Then i did 360-261=99.
Answer:
a. segment DE and segment EF are congruent to each other but not to segment DF, and their slopes are not related.
Step-by-step explanation:
In order for a triangle to be isosceles, two of the line segments must be congruent. (eliminates choices C and D)
If the slopes of the congruent segments are negative reciprocals of each other, the triangle is a right triangle, not an acute triangle. (eliminates choice B)
With choices B, C, D eliminated, we are left with choice A.
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However, <em>that necessary description is not sufficient</em> to constrain the triangle to be an acute triangle. In order for the triangle to be acute, the third side must be less than √2 times the length of either of the congruent sides.
The correct answer is "none of the above."
When you multiply a whole number by a fraction, you multiply the whole number by the numerator (top) of the fraction and you end up with an improper fraction. This question simply wants you to multiply the whole number by the numerator, then multiply that whole number by the remaining fraction.
= 4 * 2/6
multiply 4 by the numerator
=(4*2)/6
multiply 4*2 then separate from the remaining 1/6 fraction
=8 * 1/6
ANSWER: 8 * 1/6
Hope this helps! :)
