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3 years ago

Can someone please explain how to solve this? And give me the answer?! THANK U !

Mathematics

1 answer:

Lyrx [107]3 years ago

4 0

we know the segment QP is an angle bisector, namely it divides ∡SQR into two equal angles, thus ∡1 = ∡2, and ∡SQR = ∡1 + ∡2.

$\bf \begin{cases} \measuredangle SQR = \measuredangle 1 + \measuredangle 2\\\\ \measuredangle 2 = \measuredangle 1 = 5x-7 \end{cases}\qquad \qquad \stackrel{\measuredangle SQR}{7x+13} = (\stackrel{\measuredangle 1}{5x-7})+(\stackrel{\measuredangle 2}{5x-7}) \\\\\\ 7x+13 = 10x-14\implies 13=3x-14\implies 27=3x \\\\\\ \cfrac{27}{3}=x\implies 9=x \\\\[-0.35em] ~\dotfill\\\\ \measuredangle SQR = 7(9)+13\implies \measuredangle SQR = 76$

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Angie and Kenny play online video games. Angie buys 1 software package and 1 month of game play. Kenny buys 1 software package a

balandron [24]

The cost of one month of game play is $14

Step-by-step explanation:

Angie and Kenny play online video games

Angie buys 1 software package and 1 month of game play
Kenny buys 1 software package and 3 months of game play
Each software package costs $20
If their total cost is $96

We need to find the cost of one month of game play

∵ Angie buys 1 software package

∵ Kenny buys 1 software package

∵ Each software package costs $20

- Find the total cost of their software package

∴ The total cost of their software package = 20 × 1 + 20 × 1

∴ The total cost of their software package = 20 + 20 = 40

∴ The total cost of their software package is $40

Assume that the cost of one month of game play is $x

∵ The cost of one month of game play = x

∵ Angie buys 1 month of game play

∵ Kenny buys 3 months of game play

- Find the total cost of their game play

∴ The total cost of their game play = x × 1 + x × 3

∴ The total cost of their game play = x + 3x = 4x

∴ The total cost of their game play is $4x

∵ Their total cost is $96

- Add the costs of their software package and their game

play and equate the sum by 96

∴ 40 + 4x = 96

- Subtract 40 from both sides

∴ 4x = 56

- Divide both sides by 4

∴ x = 14

The cost of one month of game play is $14

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

4 0

3 years ago

Simplify the expression. (−2g5h2)5

vampirchik [111]

I am sure you are trying to type

$( - 2 {g}^{5} {h}^{2} {)}^{5}$
If that is it, then you should recall the law of exponents which says,

$({a}^{m} {)}^{n} = {a}^{mn}$
Let us share the exponent for each of them.

$( - 2 {g}^{5} {h}^{2} {)}^{5} = ( { - 2)}^{5} ( { {g}^{5}) }^{5} ( { {h}^{2}) }^{5}$
We now apply the law,

$( - 2 {g}^{5} {h}^{2} {)}^{5} = ( { - 2)}^{5} ( { {g}^{5 \: \times 5}) }^{} ( { {h}^{2 \times 5}) }^{}$
We now simplify to obtain,

$( - 2 {g}^{5} {h}^{2} {)}^{5} = -32 {g}^{25} {h}^{10}$

If that is not the expression let me know so I will know how to help you

4 0

3 years ago

Need help! much appreciated

Volgvan

Answer:

C-D = 6

A-B = 3.25

D = 118

Step-by-step explanation:

C-D = 6 because the line is the same as B-C

A-B = 3.25 because the line is the same as A-D

D = 118 because the angle of B is vertically opposite to D

7 0

3 years ago

Solve the equation. (3b - 4)/5 = -b +4

Kryger [21]

Answer:

b=3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

b=3

6 0

3 years ago

A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?

kompoz [17]

Answer:

5.9 years

Step-by-step explanation:

We believe a better representation of the compound interest formula is ...

$V(t)=P(1+\dfrac{r}{n})^{nt}$

We want to find the value of t for P=1 and V(t)=2. We are told n=4, so the formula becomes ...

$2=(1+\dfrac{.12}{4})^{4t}\\\\\log{(2)}=4t\log{(1.03)}\quad\text{take logs}\\\\t=\dfrac{\log{2}}{4\log{1.03}}\approx\boxed{5.9\quad\text{years}}$

8 0

3 years ago