Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q Prove: Triangle T S R Is-congruent-to Triangle Q R S Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent. Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent. Step 2: We know that Angle T Is-congruent-to Angle Q because it is given. Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property. Step 4: Triangle T S R Is-congruent-to Triangle Q R S because of the ASA congruence theorem. of the AAS congruence theorem. of the third angle theorem. all right triangles are congruent.

Answers

Answer 1

Answer:

Its b on edge

Step-by-step explanation:

yes

Answer 2

The Triangle TSR ≅ QRS by AAS congruence, the correct option is B.

What is a Triangle?

A triangle is a polygon with three sides, vertices and three angles.

The triangle TSR and QRS are right-angle triangles, in a right angle triangle one of the angle is equal to 90 degree,

'These triangles have to be proved congruent,

They both have the right angle.

The measure of Angle T = Angle Q,

They both have a common side,

So, they both are congruent by AAS congruence theorem.

To know more about Triangle

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Related Questions

"You want to purchase a North Face jacket for $180. You have already saved $115 and can set aside $13 a week.
Write and solve an inequality to find the number of weeks, w, it will take you to save at least $180.

Answers

Answer:

115 + 13w [tex]\geq[/tex] 180

Step-by-step explanation:

A truck is being filled with cube-shaped packages that have side lengths of \frac{1}{4} 4 1 ​ foot. The part of the truck that is being filled is in the shape of a rectangular prism with dimensions 8ft\times6\frac{1}{4}ft\times7\frac{1}{2}ft8ft×6 4 1 ​ ft×7 2 1 ​ ft.

Answers

Complete Question

A truck is being filled with cube-shaped packages that have side lengths 1/4 ​ foot. The part of the truck that is being filled is in the shape of a rectangular prism with dimensions 8ft × 6 1/4 ft × 7 1/2 ft. Find the number of cubes that can fill that part of the truck

Answer:

1500 cubes

Step-by-step explanation:

Step 1

Find the volume of the cube

V = side length ³

V = (1/4 ft)³

V = 1/64

Step 2

Find the volume of the rectangular prism

= Length × Width × Height

= 8ft × 6 1/4 ft × 7 1/2 ft

= 8 × 25/4 × 15/2

= 375 ft³

Step 3

Number of cubes in the truck

Volume of the Rectangular Prism ÷ Volume of the cube

= 375ft³ ÷ 1/4ft³

= 375 × 4

= 1500 cubes

Therefore, the number of cubes that can fill that part of the truck(Rectangular prism) = 1500 cubes

Please help I’ll give brainliest

Answers

Answer:

367.5

Step-by-step explanation:

5x7x10.5

Answer:

367.5

Step-by-step explanation:

5 x 7 = 35

35 x 10.5 = 367.5

[tex]\sqrt{8}+2\sqrt{3}[/tex]

Answers

Mark Brainliest please

Answer : 6.29252873

PLEASE HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

28cm^2

Step-by-step explanation:

By splitting the shape into 2 separate rectangles, you can find that they would be  6cm by 3cm and 5cm by 2cm. doing length x width on both and adding them gives 28cm.

I AM MARKING BRAINLEST IF YOU HELP ME PLEASE! Don't forget to show work :)

Answers

Answer:

x=±√7

Step-by-step explanation:

Hi there!

We're given the quadratic equation 6x²-42=0 and we need to find the roots of the equation (the values of x that make the equation true).

So we need to isolate x onto one side.

We can start by adding 42 to both sides

6x²=42

divide both sides by 6

x²=7

Now, take the square root of both sides (remember that when we take the square root, we get both POSITIVE and NEGATIVE answers).

x=√7 and x=-√7 (can be rewritten as x=±√7)

Hope this helps! :)

Answer:

Step-by-step explanation:

6x the ''2'' is supposed to be a exponent  all the time -42=0

6x2 -42 + 42=0 +42 {add 42 to both sides}

6x2=42

6x2                                    42

------fraction brackets =  ------- {divide by 6}

6                                           6

x2 =7

A square is inscribed in a circle. If the area of the square is 9 in^2, what is the ratio of the circumference of the circle to the area of the square?

Answers

Answer:

√2π / 4

Step-by-step explanation:

solve for x: 3(x-5)+4x-2=4​

Answers

Answer:

x = 3

Step-by-step explanation:

3(x−5)+4x−2=4

Step 1: Simplify both sides of the equation.

3(x−5)+4x−2=4

(3)(x)+(3)(−5)+4x+−2=4(Distribute)

3x+−15+4x+−2=4

(3x+4x)+(−15+−2)=4(Combine Like Terms)

7x+−17=4

7x−17=4

Step 2: Add 17 to both sides.

7x−17+17=4+17

7x=21

Step 3: Divide both sides by 7.

7x

7

=

21

7

x=3

3x-15+4x-2=4
7x-17=4
7x=-13
x=-1.86

what is the product of 172837286 and 17368364????

Answers

Answer:

3.0019009e+15

Step-by-step explanation:

the word and is multiplication so multiply the two numbers

Answer:

3.001900896*10^15 is the answer

MCQ type questions.


[tex]1) \sqrt{ - 1 } = [/tex]
[tex]i) \: i \\ ii) \: {i}^{2} \\ iii) {i}^{3} \\ iv) \: {i}^{4} [/tex]



Answers

i believe the answer would be option one i.

explanation:

simplify
√1i

simplify √1 to 1
1 x i

simplify
i

Answer: Option one i.

Explanation:

Just rewrite √-1 as i.

Find the solutions to 8x2 + 56x = 0. Check all that apply.

A. X = 8

B. x = 0

C. X = -7

D. X = 7​

Answers

Answer:

B and C

Step-by-step explanation:

fjdjjsngbsnsjf x

Which of the following is true of the discriminant for the graph below

Answers

Answer:

Step-by-step explanation:

The discriminant is used to determine the number and nature of the zeros of a quadratic. If the discriminant is positive and a perfect square, there are 2 rational zeros; if the discriminant is positive and not a perfect square, there are 2 rational complex zeros; if the discriminant is 0, there is 1 rational root; if the discriminant is negative, there are no real roots.

The roots/solutions/zeros of a quadratic are where the graph goes through the x axis. Those are the real zeros, even if they don't fall exactly on a number like 1 or 2 or 3; they can fall on 1.32, 4.35, etc. They are still real. If the graph doesn't go through the x-axis at all, the zeros are imaginary because the discriminant was negative and you can't take the square root of a negative number. As you can see on our graph, the parabola never goes through the x-axis. Therefore, the zeros are imaginary because the discriminant was negative. Choice C.  Get familiar with your discriminants and the nature of quadratic solutions. Your life will be much easier!

What is the first step in solving 6(3x+10) = 78?


Multiply both sides of the equation by 6.


Subtract 6 from both sides of the equation.


Simplify the left side of the equal sign by distributing the 6 across (3x + 10).

Answers

Answer:

Simplify the left side of the equal sign by distributing the 6 across (3x + 10).

Step-by-step explanation:

6(3x+10) = 78

Distribute the 6

18x +60 = 78

Subtract 60 from each side

18x+60-60 = 78-60

18x = 18

Divide each side by 18

18x/18 =18/18

x =1

Answer:

3rd option

Step-by-step explanation:

Given

6(3x + 10) = 78 ← distribute the parenthesis on left side

18x + 60 = 78 ( subtract 60 from both sides )

18x = 18 ( divide both sides by 18 )

x = 1

Its due in 20 mins
Will mark brainliest​

Answers

Answer:

a) 20 km away fro the starting point.

b) The bearing from P to R is 80°.

c) Q is 60 km North P.

d) Q is - 60 km west of P

Step-by-step explanation:

Stating Facts in the Question:

P to Q is 80 km and bearing 330°

It turned around, Q to R is 60 km and bearing 250°.

a) Picture a number line (Look at the first image)

You go 80 to the right. You turn around and go 60 to the left.

80 - 60 = 20

20 km away fro the starting point

b) Picture a number line (Look at the second image)

P to Q is bearing 330°

Q to R is 60 km is bearing 250°

P to Q is red

Q to R is blue

330° - 250° = 80°

The bearing from P to R is 80°

c) P to Q is 60 km

The plane went forward or North so the answer is 60 km.

Q is 60 km North P.

d) Q to P is 60 km

Q is not to the west of P

Q is - 60 km west of P

“HOT PIZZA” is offering a 20% discount on all its pizzas

Ali orders a pizza for the reduced price of £5.60

what was the original price of the pizza?

Answers

Answer:

p = £7.00

Step-by-step explanation:

Represent the original price by p.  Then 0.80p = £5.60, or p = £7.00.

If a price is discounted by 20%, the discounted price is (1 - 0.20), or 0.80, times the original price.

help me with these asap

Answers

Use the app that you can easily find answers on

what is the distance from the origin to point A graphed on the complex plane below

Answers

Answer:

√13

Step-by-step explanation:

d² = (-3)² + (-2)²

d² = 9 + 4

d² = 13

d = √13

The present oge of a :b are in ratio 5: 6 three year ago , thier age were in the ratio 4:5 find there present age .

Answers

Answer:

Their present age are 15 and 18

Step-by-step explanation:

a : b = 5 : 6

[tex]\frac{a}{b} = \frac{5}{6} \\\\6a = 5b\\\\a = \frac{5b}{6} \\\\\frac{a-3}{b-3} = \frac{4}{5} \\\\5(a-3) = 4(b-3)\\\\5a - 15= 4b - 12\\\\5a - 4b = 15 - 12\\\\5a - 4b = 3\\\\substitute \ the \ value \ of \ a \ into \ the \ above \ equation;\\\\5(\frac{5b}{6} ) - 4b = 3\\\\25b - 24b = 18\\\\b = 18\\\\now, \ solve \ for \ a;\\\\a = \frac{5}{6} \times 18\\\\a = 15[/tex]

I really don't understand this.

Answers

Answer:

parang wla po yung answer

Step-by-step explanation:

Estimate the product of -3.33 and 0.199 using the compatible numbers -3 and 0.2. Find the exact product of -3.33(0.199).

Answers

Answer:

-0.6

-0.66267

Step-by-step explanation:

Estimating the product :

Using compatible number :

-3 * 0.2

__ 0.2

* ___-3

______

_ - 0.6

______

-3 * 0.2 = 0.6

The exact product :

-3.33(0.199).

Using calculator :

-3.33(0.199) = - 0.66267

Answer:

-0.66267

Your. Welcome

The average of 7 numbers is 45.If the last two numbers are 27 and 43 what is the average of the first five

Answers

Answer:

49

Step-by-step explanation:

The average is calculated as

average = [tex]\frac{sum}{count}[/tex] Given the average of 7 numbers is 45 , then

[tex]\frac{sum}{7}[/tex] = 45 ( multiply both sides by 7 )

sum of 7 numbers = 315

Subtract 27, 43 from the sum to obtain the sum of first 5 numbers

315 - (27 + 43) = 315 - 70 = 245 , then

average of first 5 numbers = [tex]\frac{245}{5}[/tex] = 49

Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.

Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.

Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.

Step 3:
Combine like terms: (18 + 24) squared = 30 squared.

Step 4:
Evaluate each side: 1764 not-equals 900.

Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

Answers

Answer:C

Step-by-step explanation:it’s really simple

Answer:

C.

Step-by-step explanation:

The graph shows the value of a certain model of car compared with its age.
Which statement is false?
Car's value ($)
Car's ago (years)
A. The correlation coefficient is close to -1,
B. The car's value is the explanatory variable.
O O Od
C. The car's age is strongly correlated to its value.
D. The data show a negative linear relationship.

Answers

Answer:

B. The car's age is the explanatory variable

Step-by-step explanation:

The graph shows a negative linear relationship between car's age and car's value because, as as one variable increases, the other decreases.

Also, data points are close to each other along the line of best fits, therefore, the correlation coefficient would be close to -1, showing a strong negative relationship.

An explanation variable is one that isn't affected or dependent on another variable. In this case, the car's age is the explanatory variable and not the car's value. The car's value is dependent on the car's age, therefore, the car's age is the explanatory variable.

The statement in option B is FALSE.

Berapakah hasil dari
=> 7³ + 8?
[tex] \: [/tex]

Answers

Answer:

[tex]351[/tex]

Step-by-step explanation:

[tex]7³ + 8[/tex]

[tex](7 \times 7 \times 7) + 8[/tex]

[tex]343 + 8[/tex]

[tex]351[/tex]

Hope it is helpful....

Berapakah hasil 7^3 + 8 = ...

Mari kita coba jawab!

Langkah pertama:

= 7 × 7 × 7

= 49 × 7

= 343 .

Langkah kedua:

= 8

= 8 .

Langkah ketiga:

= 343 + 8

= 351 .

Maka, hasilnya 351 .

17. Find the area of a triangle whose base is 6 cm and height is 8 cm.
48 square cm
24 square cm
48 cm
24 cm

Answers

Answer:

24 square cm

Step-by-step explanation:

Answer:

48cm

Step-by-step explanation:

Because 6 times 8= 48cm

Suppose that F(x)= x^2 and G(x) 4/5 x^2. Which statements best compares the graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) stretched vertically.

b. The graph of G(x) is the graph of F(x) stretched vertically and flipped over the x-axis.

C. The graph of G(x) is the graph of F(x) compressed vertically.

d. The graph of G(x) is the graph of F(x) compressed vertically and flipped over the x-axis.

Answers

Answer:

Step-by-step explanation:

C. The graph of G(x) is the graph of F(x) compressed vertically.

If, for example, x = 1, then F(1) = 1^2 = 1, while G(1) = (4/5)(1^2) = 4/5.

Note that G(1) < F(1); we say G(x) is a vertical compression of F(x).

how do u factor..
x^2 + 10× - 2400 = 0 ​

Answers

Answer:

[tex]{ \bf{ {x}^{2} + 10x - 2400 = 0}} \\ { \bf{ \red{it \: has \: no \: rational \: factors}}} \\ x = - 54.2 \: \: and \: \: 44.2[/tex]

x^2+10•-2400=0
x^2-24000=0
x^2=24000
take the square root of 24000

Worth 12 points and please actually help me

Answers

Answer:

(-3,0)

Step-by-step explanation:

Step 1 identify coordinates of A

The coordinate of A is (-6 , 2)

Step 2 apply translation by adding 3 to the x value and subtracting 2 from the y value

(-6 + 3 , 2 - 2)

Simplify

(-3 , 0)

Water is flowing into a conical drinking cup with an altitude of 8 inches and a radius of 5 inches, as shown in the figure.

Answers

Answer:

[tex]V=435.41\ \text{inches}^3[/tex]

Step-by-step explanation:

Given that,

Water is flowing into a conical drinking cup.

The radius of cup, r = 5 inches

The height of the cup, h = 8 inches

Let us assume to find the volume of water coming. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 52\times 8\\\\=435.41\ \text{inches}^3[/tex]

So, the volume of water flowing is [tex]435.41\ \text{inches}^3[/tex].

Please help me answer 23, 24, 25 and 26!!!

Answers

Answer:

23. c

24.b

25. box 2

26. 48, 26

Step-by-step explanation:

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