Mathematics High School

Write a proof. fill in statements and reasons for the blank sides, 10 points for each question.

Write A Proof. Fill In Statements And Reasons For The Blank Sides, 10 Points For Each Question.

Answers

Answer 1

Step-by-step explanation:

Statements / reasons:

Statement 1 >> RS ≅ UT            Reason 1 >> Given

Statement 2 >> RT ≅ US           Reason 2 >> Given

Statement 3 >> TS ≅ TS            Reason 3 >> Common side

Statement 4 >> ΔRST≅ΔUTS    Reason 4 >> SSS theorem

Related Questions

3

Assume that a randomly selected subject is given a one density test those test scores are normally distributed with a mean of 0 and a standard deviation of 1

Answers

Answer:

See Image below for answer:)

Step-by-step explanation:

An actor invested some money at 7% simple interest, and $27,000 more than four times the amount of 8%. The total annual interest earned from the investment was $54,030. How much did he invest at each amount?

Answers

The total annual interest earned from the investment is $36780

A sno-cone machine priced at $140 is on sale for 20% off. The sales tax rate is 6%. What is the price of the sno-cone machine after the discount and sales tax?
A) $112.00
B) $118.72
C) $28.00
D) none of the above

Answers

Answer:

118.72

Step-by-step explanation:

I just used my calculator 0-0 hope this helped :)

I need help pls
ASAP

Answers

Answer:

look at the picture ..........

3(x-2)=18 can somebody plzz help me

Answers

Answer:

x=8

Step-by-step explanation:

3(x-2)=18

3x-6=18

3x=18+6

3x=24

x=24/3

x=8

Given : Simplify 3(x - 2) = 18

Solution : According to the question, here we are given an equation i.e 3(x - 2) = 18 where we need to get the value of x by simplifying it.

3(x - 2) = 18

Cross multiplying 3 to the other side

x - 2 = 18/3

x - 2 = 6

Transposing -2 to the right hand side of the equation to get +2

x = 6 + 2

Adding them we get the final answer

x = 8

Henceforth, the required answer is 8

share £165 in the ratio 2:3

Answers


2:3=£165
2:3 =5
2/5 x 165
=2x33
66
=3/5 x 165
3 x 33
99
answer: 66 : 99

A line that includes the point (-1,5) has a slope of 4. What is its equation in slope-intercept
form?

Answers

Answer:

y=4x+9

Step-by-step explanation:

The slope intercept form is [tex]y=mx+b[/tex]

So m=4 and we plug it into the equation [tex]y=4x+b[/tex]

Since there are x point is -1 and y point is 5 we plug those in replacing the corresponding variables [tex]5=4(-1)+b[/tex]

So the equation becomes [tex]5=4+b[/tex]

We add 4 to both sides [tex]5=4+b\\+4=+4[/tex] so 9 equals b

Then we rewrite the whole equation as [tex]y=4x+9[/tex]


Laura is training to run a race. She keeps track of the number of miles she runs. She has been training for 5 weeks, and she has run a total
of 40 miles. At what rate has she been running, in miles per week?

Answers

Answer:

8 miles per week!

Step-by-step explanation:

40 miles / 5 weeks = 8!

so it would be 8 miles per week.

i hope this helps!!

Find the equation of the line that passes through the given points, in Slope-Intercept Form. (-2, -7) and (3, 8)

Answers

Answer:

y=3x-1

Step-by-step explanation:

m=y2-y1/x2-x1

m=8-(-7)/3-(-2)

m=8+7/3+2

m=15/5

m=3

y-y1=m(x-x1)

y-(-7)=3(x-(-2)

y+7=3(x+2)

y+7=3x+6

y=3x+6-7

y=3x-1

What is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24 7 24 25 31

Answers

Answer:

X = 25

Step-by-step explanation:

To find the hypotenuse of a right triangle you use pythagorean theorm Where C = Hyp

A = Leg1

B = Leg 2

A^2 + B^2 = C^2

7^2 + 24 ^2 = x^2

49 +  576 = x^2

625 = X^2    (Square root both sides)

25 = x

-- Gage Millar, Algebra 1/2 tutor

How to multiple decimals by decimals.

Answers

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Solve for m
kx-bf=fy/m

Answers

Answer:

m=fy/kx-Bf

Step-by-step explanation:

you simply simplify the equitions to be left with m on one side

Linear or nonlinear:
why?

Answers

Answer:

Nonlinear.

Step-by-step explanation:

Linear equations do not contain exponents. Since the equation given has an exponent, it would not form a straight line on a graph, and therefore, it is nonlinear.

Hope this helps.

$299 for 4 tires. What is the cost for one tire? Round your answer to the nearest whole number..
$70 per tire
$75 per tire
$72 per tire

Answers

$75

$299/4 = 74.75. Rounded to the nearest whole number would be $75. :)

What is the sale price of a $825 tablet that has a 1/4 discount

Answers

Answer:

206.25

Step-by-step explanation:

825/2=412.5

412.5/2=206.25

1/4 is equal to 25% so multiply 0.25 and 825 to get $206.25 discount. Now, subtract $206.25 from $825 to get the answer of $618.75!

please help me. I need to find what W is​

Answers

Answer:

9

Step-by-step explanation:

w+13-[tex]\frac{2w}{3}[/tex]=16

w · [tex]\frac{3}{3}[/tex] -[tex]\frac{2w}{3}[/tex]+13=16

[tex]\frac{w}{3}[/tex]+13=16

[tex]\frac{w}{3}[/tex]=3

w=9

Convert an area 75000m2 to hectares​

Answers

Answer:

10000m2 =1 hectare

75000m2 = 75000/10000 hectares

=75/10hectares

=7.5hectares

note:

1 hectare =10 000m2

Hope this helps!!

Please no "files": Simplify. Express your answer as the given base raised to a single exponent.
(9^6)^8

Answers

Answer:

9^48

Step-by-step explanation:

when parenthesis are involved, you multiply the powers

6*8=48

We know that the sample standard deviation is 10 and the sample size is 70. For what sample mean would the ������ -value be equal to 0. 05? assume that all conditions necessary for inference are satisfied.

Answers

Is the question a gap fill? Variance

The number of data points from the box that fall in the interval of 10-15 is 21 25 25 26 19 24. 25 17 23 25 30 28 25 28 19 21 25 17 21 24 30 17 28 20 21​

Answers

Answer:

I have no clue I'm trying to get my account set up

Need help with this question

Answers

I could be wrong but I think:
Blue- Y=3x+2 slope int
Y-2=3(x-0) point slope

Red - Y=1/2x-2 slope int
Y+2=1/2(x-0)
blue line
slope intercept: y= -2x+ 2
point slope form: y+1= -2(x-1)

red line
slope intercept: y=1/2x-2
point slope form: y+1= 1/2(x-2)

50 POINTS!!

Write an
equation for the circle with centre (0,0), if (12,5) lies on its circumference

Answers

Answer:

x² + y² = 169

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

Given (12, 5 ) lies on the circumference , then the point will satisfy the equation.

Substitute (12, 5 ) into the equation

12² + 5² = r²

144 + 25 = r²

169 = r²

Then equation of circle is

x² + y² = 169

What is a scalar quantity ?

Answers

Answer:

A scalar quantity is defined as the physical quantity with only magnitude and no direction.

2x^(3)-3x^(2)+5-3x^(2)+2x^(2)-4x-9

Answers

Answer:

2x^(3) - 4x^(2) - 4x - 4.

Step-by-step explanation:

2x^(3)-3x^(2)-3x^(2)+2x^(2)-4x-9

Bring like terms together:

= 2x^(3) - 3x^(2) - 3x^(2) + 2x^(2) - 4x + 5 - 9

Now simplify:

= 2x^(3) - 4x^(2) - 4x - 4.

Answer:

[tex]2x^3-4x^2-4x-4[/tex]

Step-by-step explanation:

Subtract the numbers

[tex]2x^3-3x^2+5-3x^2+2x^2-4x-9[/tex]

[tex]2^3-3^2-4-3^2+2^2-4[/tex]

Combine like terms

[tex]2x^3-3x^2-4-3x^2+2x^2-4x[/tex]

[tex]2^3-4^2-4-4[/tex]

Rearrange terms

[tex]2x^3-4x^2-4-4x[/tex]

[tex]2^3-4^2-4-4[/tex]

Solution:

[tex]2x^3-4x^2-4x-4[/tex]

3: A farmer keeps cows and pigs on his farm. The ratio of cows to pigs on the farm is 2:3 (a) What percentage of the animals on the farm are cows? (b) What percentage of the animals on the farm are pigs?​

Answers

Answer:

(a) 40% of the animals are cows.

(b) 60% of the animals are pigs.

Step-by-step explanation:

(a) You have to find the percent of the cows. 2:3 can be written as 2/5 for the cows and you have to figure out x/100.

2/5 = x/100

5*20 = 100

2*20 = x

40 = x

(b) The rest of the animals on the farm are pigs so you have to subtract 40 from 100 for the answer.

100-40 = y

60 = y

Evaluate -1(-2)(-4)(-2)

Answers

Answer:

16

Step-by-step explanation:

Negative times negative = positive

-1(-2) = 2

2(-4) = -8

-8(-2) = 16

Please consider giving this answer brainliest if it helped you. Thanks!

Answer:

─16

Step-by-step explanation:

1(−2)(−4)(−2) when x=1, y=2, z=5 which equals, ─16

OMG FOR A BRAINLIST HELP ANSWER!!!!!!!!!

Answers

Answer:

C is answer

Step-by-step explanation:

Susan's checkbook had a balance of $422.05 on April 1. On April 5, she wrote a check for $106.30 to the auto repair shop. On April 7, she
wrote a check in the amount of $310.00 for rent. On April 9, her dad sent her $95.00 to deposit into her account. What is the balance of
Susan's account after this deposit?

Answers

The answer should be $100.75

Answer: 422.05-106.30-310.00+95.00=100.75

Step-by-step explanation:

your subtracting the 422/106/310 while you adding the $95

a 84m2 b 111m2 c 125m2 d 150m2

Answers

Answer:

B

Step-by-step explanation:

:)

Answer:the answer is 84m2

Step-by-step explanation:

Factor (x^2-9) (x^2-16)

Answers

Answer:

( x - 3 )( x + 3 ) ( x - 4 )( x + 4)

Step-by-step explanation:

( x^2 - 9 ) ( x^2 - 16 )

( x - 3 )( x + 3 ) ( x - 4 )( x + 4)

Hopefully this helps!

Brainliest please?

[tex](x^2 -9)(x^2 -16)\\\\=(x^2 -3^2)(x^2 -4^2)\\\\=(x+3)(x-3)(x+4)(x-4)[/tex]

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