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Korolek [52]
3 years ago
8

In need help Relationships in Triangles

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0

Answer: x = 17

Step-by-step explanation: Since ray SQ bisects <TSR, we know

that the m<TSQ ≅ m<QSR by the definition of an angle bisector.

So we can setup the equation (3x - 9) + (3x - 9) = 84

using the angle addition postulate.

Simplifying on the left gives us 6x - 18 = 84.

Now add 18 to both sides to get 6x = 102.

Now divide both sides by 6 so x = 17.

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Five to the fifth power minus seven to the second power.
Sedaia [141]

Answer:

5^5-7^2= 3076

Step-by-step explanation:

5^5=3125

5*5*5*5*5

7^2=49

3125-49=3076

Hope this helps! Remember you are smart and you got this! Have a great day -Alycia

4 0
3 years ago
Each day, about 75,000 people visit paris, france. Use the commutative property to write two equivalent expressions that could b
Rainbow [258]
The commutative property states that you can move things around and  it will still be equal. The best way to remember this is "commute" which kind of means to move around. 75000x = x75000, where x is the number of days. So, in this case, it would be 75000(5) = (5)75000 or 5 * 75000 = 75000 * 5.
7 0
4 years ago
In a class of P students, the average of test scores is 70. In another class the average test scores is 92. When scores of the t
Basile [38]

So, since averages are defined as:

\frac{\sum_{k=1}^{P} P_k}{P}=70

So, since P are the total number of elements and P_k is the P_kth student. This is saying if we sum over each student's score and divide it by the number of students, we should get P, which is true.

So, using that logic, the other class can be represented as:

\frac{\sum_{k=1}^{N} N_k}{N}=70

We can take both of these equations and multiply them by N:

\sum_{k=1}^{P} P_k=70P

\sum_{k=1}^N N_k=92N

So, if we want to find the average of this we should add both our equations then divide by P+N, which is the number of all the students.

\frac{\sum_{k=1}^{P} P_k+\sum_{k=1}^{N}N_k}{N+P}=\frac{70P+92N}{N+P}

To make this simpler we can replace our LHS with 86, since that's the average of both classes combined.

86=\frac{92N+70P}{N+P} \implies\\ 86N+86P=92N+70P \implies \\ 16P=6N \implies \\ \frac{16P}{N}=6 \implies \\ \frac{P}{N}=\frac{6}{16}

Simplified we would have P/N=3/8.

7 0
4 years ago
A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown.
aliya0001 [1]
The volume of a cone is
V = (1/3) π r² h
where r =  radius of the base
h =  the height.

The volume of the frustum is
(1/3)π(7.5²)(11+8) - (1/3)π(3.5²)(8)
=(1/3)π(7.5²)(19) - (1/3)π(3.5²)(8)

The 3rd choice is the correct answer.

Answer:
\frac{1}{ 3}  \pi (7.5^{2})(19) -  \frac{1}{3}  \pi (3.5^{2})(8)


4 0
3 years ago
Read 2 more answers
What would be the result if a was increased by 25 percent
zloy xaker [14]

Answer: formula - (x/4)+x

Step-by-step explanation:

Since there are no numbers, here is just the formula and what it means :)

(x/4)+x

(btw x is whatever your number is)

so what you need to do first is to divide your number by 4 because 25% is 1/4 of 100%

and then add that number that you just got to your number.

Its a little confusing to say out in words, so here is an example using 24

24/4=6

24+6=30

and heres another example using 50

50/4=12.5

50+12.5=62.5

I hope this helped! <3

6 0
3 years ago
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