Hi there!
Let the second angle be represented by x. Now, just use the given information to write expressions for each angle.
Angle 1:
The question says that it is 10 degrees less than the second angle. Therefore, it can be represented by the expression x - 10.
Angle 2:
Represented by x.
Angle 3:
As said in the question, the third angle is 2 times the second angle. This gives us the expression 2 × x, giving us 2x.
Now, take all the expressions and add them up and make them equal to 180 degrees, according to the Triangle Sum Theorem.
x + 2x + x - 10 = 180
4x - 10 = 180
4x = 190
/4 /4
x = 47.5
Therefore, the angle measures are 47.5 degrees, 2(47.5) = 95, and 47.5 - 10 = 37.5 degrees. Hope this helped!

5 0

3 years ago

Seven friends want to play a game. They must be divided into two teams with three people in each team and one leader. In how man

fiasKO [112]

Answer:70

Step-by-step explanation:

Given

total of 7 friends need to be divided in two groups with 3 member each and 1 leader

leader can be chosen out of 7 person in $^7C_1$ ways

And 3 person out of remaining 6 persons in $^6C_3$ ways

thus a total of $^7C_1\times ^6C_3$ ways is possible

If order is not matter then

$\frac{140}{2}$ ways are possible

4 0

4 years ago

This makes no sense to me, help please

kondaur [170]

Step-by-step explanation:

The expression is: 7 × -5 - 7

The value of the expression is: -42

-35 - 7 = -42

6 0

3 years ago

Read 2 more answers

The pressure p(in lbs/in^2) that a 160 pound persons shoe exerts on the ground when walking varies inversely with the area A(in

GenaCL600 [577]

The first thing we must do for this case is to define variables.
We have then:
P: pressure
A: Area of the sole of the shoe
Since the variation is inverse, we have an equation of the form:
$P = k / A
$
We must find the value of k.
For this, we use the following data:
when the shoes have a sole area of 40 in ^ 2 The pressure is 4 lbs / in ^ 2
Substituting values we have:
$4 = k / 40
$
From here, let's clear k:
$k = 4 * 40

k = 160$
Then, the equation is:
$P = 160 / A$
Answer:
The equation that relates these variables is:
$P = 160 / A$

3 0

4 years ago