If /\PQR~/\SQT, find the value of x.

If /\PQR~/\SQT, Find The Value Of X.

Answers

Answer 1

Answer:

[tex] \frac{x + 13}{8} = \frac{21}{x - 9} \\ {x}^{2} + 4x - 117 = 168 \\ {x}^{2} + 4x - 285 = 0 \\ (x - 15)(x + 19) = 0 \\ x = 15 \\ x = - 19[/tex]


Related Questions

Which angles are adjacent angles?

Answers

Answer:

<KLN and <MLN

Step-by-step explanation:

adjacent angles have a common vertex and a common side

It takes 8 workers 12 days to build a wall work out how many days it would take 3 workers to complete the same job

Please can someone answer and explain??

Answers

Answer: 24 days

Step-by-step explanation

h every worker, 4 workers will still take 12 days. If the work is to shake every other worker's hand, 4 workers will only take 37 x 12 days.

What is 3½ tons =___pounds?​

Answers

Answer:

7,000 LBs

Step-by-step explanation:

1 ton is 2,000, half of a ton is 1,000

Answer:

7000 lbs

Step-by-step explanation:

The formula for tons to pounds is to multiply the value by 2000

Can someone plz help me out with this I’ll give b... plz I beg u ( i do t know how to spell it but u know what I mean)

Answers

Answer:

I think it might be 0.3 i'm not sure though

Step-by-step explanation:

The number 16/4 fits into which categories?​

Answers

Answer:

a fraction

Step-by-step explanation:

I hope this helps

Answer:

16/4 fits into a rational number group, real number group and an integer group.

Hope it helps :)

What is the meaning of f '' (4) = -4?

Answers

Hi there!

f''(4) = -4 means that at x = 4, the second derivative is equal to -4. This is equivalent to the instantaneous rate of change of the graph of f'(x) at x = 4 as well.

Answer:

Step-by-step explanation:

if the second derivative is -4 means that the function is concave down and that at point 4 the function has a maximum

the
percentage
fraction and
de cimal
number
5%
17 %
3.5 %​

Answers

Answer:

are you asking to convert to fractions and decimals?

1. .05 1/20

2..17 or 17/100

3. 7/2

"The more miles a person runs, the more calories the person burns."
Which scatter plot supports this statement?

Answers

Answer:

D

Step-by-step explanation:

every time the mile increases he burns more calories you can see that when you look at it closely

which expression is equivalent to the one below

Answers

It would be B, if you divide 6 by 9 you get .666 which is equivalent to 2/3, you do 6(1/9) you also get 2/3. Hope this helps:)

Does anyone know plz help soon

Answers

Answer:

2,4

Step-by-step explanation:

answer:
b. (2, 4)
explanation:
the lines intersect at (2, 4)

what is the area of the figure?

Answers

Answer:

[tex] 88 \: {in}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 in and 4 in + Area of two right triangles with base (7 - 4 = 3) 3 in and height 8 in

[tex] = 16 \times 4 + 2 \times \frac{1}{2} \times 3 \times 8 \\ \\ = 64 + 24 \\ \\ = 88 \: {in}^{2} [/tex]

The horizontal cross section shown is a parallel to the base of the pyramid is the shortest side of the cross-section measures 1.2 cm what is the measure of the cross

Answers

Answer:

The longest side of the cross-section is: [tex]2.4cm[/tex]

Step-by-step explanation:

Given

See attachment for pyramid

Required

The longest side of the cross-section

The base of the pyramid is a rectangle with the following dimension (in terms of length)

[tex]Long = 6cm[/tex]

[tex]Short = 3cm[/tex]

For the cross-section, we have:

[tex]Long = x[/tex]

[tex]Short =1.2cm[/tex]

Since both are parallel, then the following relationship exist between both

[tex]Ratio = Long : Short[/tex]

So, we have:

[tex]6cm : 3cm = x: 1.2cm[/tex]

Express as fraction

[tex]\frac{6cm }{ 3cm }= \frac{x}{1.2cm}[/tex]

[tex]2= \frac{x}{1.2cm}[/tex]

Make x the subject

[tex]x = 2 * 1.2cm[/tex]

[tex]x = 2.4cm[/tex]

any tips on how to do this?? i have no clue how

Answers

Answer:

6.7

Step-by-step explanation:

For this questions we have the oppsotie side and need the adjacent

out of SOH, CAH, TOA we will sue TOA

tan(56)=10/x

tan(56)/10=1/x

10/tan(56)=x

x=6.745 which rounds to 6.7

Given that a = 14 cm and b = 25 cm, work out the area of the triangle.

Answers

you haven't attached a picture, so i'll take b= 25 cm and h= 14 cm
area of triangle= 1/2*bh
=1/2*350
= 175 sq. cm.

Answer:

175

Step-by-step explanation:

I am assuming that you mean that a and b are both bases of a  right triangle. Please correct me if I am wrong.

14 * 25/2 = 350/2 = 175

The area would then be 175 cm²

8 POINTS I don’t understand this can anyone help?? If you answer all my other questions on BrainlyI will give you 30 points:)

Answers

Answer:

I remember my teacher saying that when you get the answer you have to * when you get the answer

2x-56=34 solve for x

Answers

Answer:

x = 45

Step-by-step explanation:

2x - 56 = 34

2x = 34 + 56

2x = 90

x = 45

Answer:

x = 45

Step-by-step explanation:

2x-56=34 add 56 to both sides

2x = 90 divide both sides by 2

x = 45

what is (3 + 12) - 3² + 8 · 2 ÷ 4 ?
(please show how/ show work)

Answers

Answer:

10

Step-by-step explanation:

(3 + 12) - 3² + 8 · 2 ÷ 4

15 - 9 + 16 : 4

6 + 4

10

A coin is tossed 10 times. 4 of the 10 tosses result in heads. What is the THEORETICAL probability of landing on heads

Answers

Answer:

1 /2

Step-by-step explanation:

The theoretical probability is the possibility of an event occurring based on reasoning and not on the outcome of a trial or experiment. Hence, for the question above, the outcome of the tosses or trials would have no effect on the theoretical probability that a coin lands oon head or tail.

Theoretical probability of an event =

Favorable outcome / Total possible outcomes

Favorable outcomes = number of heads in a coin = 1

Total possible outcomes = number of faces on a coin = 2 (head and tail)

Therefore,

Theoretical probability of landing on head = 1 /2

PLEAEE HELP!! I’ll give brainlist:((

Answers

Answer:

Ok the area of the first circle is 154m Rounded.

The circumference of circle one is 44m Rounded.

Area of the 2nd figure is 2827ft Rounded.

And the circumference of circle 2 is 189ft Rounded.

Step-by-step explanation:

Have a nice day

hellpppppppppppp...
'

Answers

Answer:

1 1/2

one and one half.

Step-by-step explanation:

Answer:

81/16

Step-by-step explanation:

Which of the following is irratonal?
A.√2
B.√1.44
C.√1
D.√4

Answers

Answer:

I think that it is C. hope this is correct

Answer A
because
B = 1,2
C= 1
D= 2

plz help ill give brainlist 5.0 and say thanks !!need help now

Answers

Answer:

D.

Step-by-step explanation:

4 x (26 + 72) is 4 time more than the expression of 26 + 72

Above answer is correct

movie theater has opened.
Number of Tickets

If the trend continues, after how many weeks will the movie theater sell
300 tickets per week?

А. 50
B. 15
C. 12
D. 11
I need a correct answer fast please!!!!

Answers

Answer:

I think the possible answer is C.12

hope its right but if its wrong please feel free to correct me.

What is the area of the right triangle shown below?

Answers

Answer:

1.5

Step-by-step explanation:

base x height x 0.5

Pythagorean theorem: c^2 - a^2 = b^2

b = square root of (2.5)^2 - (1.5)^2

= 2

b = height

area = 0.5 x 1.5 x 2 = 1.5

Answer:

1.5

Step-by-step explanation:

Use the Pythagorean Theorem. A^2 + b^2 = c^2

A and b being the sides and C being the hypotenuse.

2.5^2 - 1.5^2 = 4

Square root of 4 is 2.

Then you use the area of a triangle formula. 1/2 * base * height = Area of a triangle.

1.5 * 2 * 0.5 = 1.5

Would you help me solve this question with steps? It would really help, and thank you.

Answers

5x + 3y = 6

Answer's too short so here's some extra text.

What is the mean of the distribution

Answers

the awnser is 799 by 983

Step-by-step explanation:

A circle centered at the origin has a radius of 13. The terminal side of an angle x, intercepts the circle in quadrant IV at point C. The x coordinate of point C is 12. What is the value of sin x

Answers

Answer:

[tex]sin x=-\frac{5}{13}[/tex]

Step-by-step explanation:

From the question we are told that:

Radius [tex]r=13[/tex]

Co-ordinate of x axis at C [tex]x'=12[/tex]

Let

x' represent the x axis

y' represent the y axis

Since the intercept across the radius has values on the x' and y' axis

Therefore

Generally the Trigonometric equation for cos x is mathematically given by

 [tex]cos x=\frac{x'_c}{r}[/tex]

 [tex]cos x=\frac{12}{13}[/tex]

Generally the Trigonometric equation for sin x is mathematically given by

[tex]sin x=\sqrt{1-cos^2x}[/tex]

[tex]sin x=\sqrt{1-(\frac{12}{13})^2}[/tex]

[tex]sin x=\frac{5}{13}[/tex]

Since x is in the IV quadrant sin x is negative

[tex]sin x=-\frac{5}{13}[/tex]

Find the selling price.
Cost to store: $50
Markup: 10%
The selling price is $

Answers

Answer:

I'm pretty sure it's $5.00.

11, 16, 12,7, 23, 9, 5, 5
What is the median of the data?

Answers

Answer: Median: 10

Step-by-step explanation:

Answer: 10

Step-by-step explanation: First you place the numbers in order from least to greatest (5,5,7,9,11,12,16,23) then you take away one from each side at a time so 5,23 then 5,16 etc. you end up with 9 and 11 left so you find the middle of 9 and 11 which is 10.

would someone pls help me this is math and rn I have a D+ so if I get all my question or at least some I will get an A or A+

Answers

Answer:

The probability of getting a 1, 2, 3 on three rolls respectively is [tex]\frac{1}{216}[/tex].

Step-by-step explanation:

Since you are rolling three dies, and each die has six sides, that means there are a total of 216 possible outcomes. Out of the 216 different outcomes, only 1 of them meet the requirement of rolling a '1' on the first die, a '2' on the second die, and a '3' on the third die, so the fraction to represent the situation would be [tex]\frac{1}{216}[/tex].

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