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VMariaS [17]
3 years ago
9

You and a roommate are hosting a party. You invite 10 other pairs of roommates. During the party you poll everyone at the party

(excluding yourself) and ask how many hands each person shook. Two conditions: a) Each person did not shake his roommate's hand. b) Each person shook a different number of hands. Question: How many hands did you roommate shake?
Mathematics
1 answer:
solong [7]3 years ago
5 0
The orders of pairs are 23
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Is 91235 divisible by3
DiKsa [7]
91,235/3 = 30,411.6 repeating
No, it is not divisible.
4 0
3 years ago
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Given gif and GHF, write three proportions involving geometric mean.<br>​
almond37 [142]

Answer:

\frac{z}{h}=\frac{h}{y}\\\\\frac{a}{x}=\frac{x}{z}\\\\\frac{a}{w}=\frac{w}{y}

Step-by-step explanation:

For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.

According to the Altitude Rule, given a Right triangle, if you draw an altitude from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.

In this case, you can identify that the altitude that goes from the vertex of the right angle (\angle G=90\°) to the hypotenuse of the triangle, is:

GF=h

Then, based on the Altitude Rule, you can set up the following proportion:

\frac{z}{h}=\frac{h}{y}

According to the Leg Rule, each leg is the mean proportional between the hypotenuse and the portion of the hypotenuse that is located directly below that leg of the triangle.

Knowing this, you can set up the following proportions:

\frac{a}{x}=\frac{x}{z}\\\\\frac{a}{w}=\frac{w}{y}

6 0
3 years ago
Read 2 more answers
ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line
Savatey [412]

Triangle APQ is the image of ABC under a dilation centered at vertex A with scale factor ½. Triangle RBT is the image of ABC under a dilation centered at vertex B with scale factor ¾ . Which statement about ABC , APQ , and RBT is correct? none of the triangle are similar

All three triangles are similar

Triangle APQ an RBT are not similar

8 0
3 years ago
Please please help 100 points
stiks02 [169]

We're given

\displaystyle \int_4^{-10} g(x) \, dx = -3

which immediately tells us that

\displaystyle \int_{-10}^4 g(x) \, dx = 3

In other words, swapping the limits of the integral negates its value.

Also,

\displaystyle \int_4^6 g(x) \, dx = 5

The integral we want to compute is

\displaystyle \int_{-10}^6 g(x) \, dx

which we can do by splitting up the integral at x = 4 and using the known values above. Then the integral we want is

\displaystyle \int_{-10}^6 g(x) \, dx = \int_{-10}^4 g(x) \, dx + \int_4^6 g(x) \, dx = 3 + 5 = \boxed{8}

7 0
3 years ago
Solve for the roots in simplest form using the quadratic formula:<br> 202 + 61 =-10x
ella [17]
X=-263/10 which is also the root to the equation.
4 0
3 years ago
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