All categories

3 years ago

Help me as soon as possible PLEASE HELP

Mathematics

1 answer:

disa [49]3 years ago

7 0

Answer:

QRT = 47, TRS = 133

Step-by-step explanation:

Since QRS is a line, QRT + TRS = 180.

$QRT+TRS=180\\3x+5+10x-7=180\\$

Then, solve for x. Combine like terms.

$13x-2=180\\13x=182\\x=14$

Then, plug in 14 for x.

$1. (3*14+5)\\\\QRT = 47\\\\2. (10*14-7)\\\\TRS = 133$

You might be interested in

I NEED HELP PLEASE. LOOK AT PICTURE

Bond [772]

Answer:

Part 1) $\frac{a^4}{4b^2}$

Part 2) $-\frac{v^9}{w^6}$

Step-by-step explanation:

we know that

When divide exponents (or powers) with the same base, subtract the exponents

Part 1) we have

$\frac{3a^{2}b^{-4}}{12a^{-2}b^{-2}}=(\frac{3}{12})(a^{2+2})(b^{-4+2} )=\frac{1}{4}a^{4}b^{-2}=\frac{a^4}{4b^2}$

Part 2) we have

$\frac{v^3w^{-3}}{-v^{-6} w^3} =-v^{3+6}w^{-3-3}=-v^9w^{-6}=-\frac{v^9}{w^6}$

6 0

3 years ago

Explain answer ! <br><br> Will give brainlst

Ne4ueva [31]

Answer:

x = 4, y = 2

Step-by-step explanation:

Start by multiplying the first equation by 2:

2x + 2y = 12 --> 4x + 4y = 24

Subtract the second from the first:

4x + 4y = 24

- 5x + 4y = 28

4x - 5x = -x

4y = 4y = 0

24 - 28 = -4

so you end with -x + 0 = -4

Solve for x to get x = 4

Plug x = 4 back into 2x + 2y = 12 to find y.

2(4) + 2y = 12

8 + 2y = 12

2y = 4

y = 2

5 0

3 years ago

Find d for the arithmetic series with S17=-170 and a1=2

Irina18 [472]

So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

$\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
n=17\\
S_{17}=-170\\
a_1=2
\end{cases}
\\\\\\
-170=\cfrac{17(2+a_{17})}{2}\implies \cfrac{-170}{17}=\cfrac{(2+a_{17})}{2}
\\\\\\
-10=\cfrac{(2+a_{17})}{2}\implies -20=2+a_{17}\implies -22=a_{17}$

well, since the 17th term is that much, let's check what "d" is then anyway,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
-22=2+(17-1)d\implies -22=2+16d\implies -24=16d
\\\\\\
\cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d$

6 0

4 years ago

Mr. Jones eats out at his favorite buffet restaurant every Friday night. If the cost is $9 and he budgets $42 for the month, how

alexandr402 [8]

Answer:

He will be able to eat nine times.

Step-by-step explanation:

Because nine times nine is 91 which is on one less then what he has, so that means he will be able to eat there nine times. Hope I helped

7 0

3 years ago

The area of a circle is 360.9. Find the radius of the circle. (Round to 2 decimal places.)

Ksju [112]

The radius of a circle is a=pi r^2.
so 360.9=3.14r^2, so that's around 114.94=r^2
r=10.72

4 0

4 years ago