Find the value of the variable that results in congruent triangles.

A. 80
B. 10
C. 50
D. 30
​

60 percent

Step-by-step explanation:

Covert 3/5th into percentage so the answer will be 60.

Answer:

832.5

A unit rate is a rate with 1 in the denominator.

Answer:

626

Step-by-step explanation:

So 62 fewer right so 688 combined- 62 cheeseburger =626 hamburger

Answer:

x(x + 7) = 169

Step-by-step explanation:

We are given that

Let length of shorter leg of right triangle = x ft

Length of other leg = x+7 ft

Hypotenuse of right triangle = 13 ft

We have to find the equation which can be used to find x, the length of shorter leg.

By pythagorous theorem

(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2

Substitute the values then, we get

(13)^2=x^2+(x+7)^2

x^2+(x+7)^2=169

This is required equation which can used to find x.

Answer:

d. x2 + (x + 7)2 = 169

Step-by-step explanation:

use Pythagorean theorem, substitute in the given values, and you get this

Answer:

area of parallelogram=base *height

Answer:

area =36cm²

Step-by-step explanation:

area of parallelogram= b×h

(n! + (n + 1)!) / n! = n!/n! + (n + 1)!/n! = 1 + (n + 1) = n + 2

because (n + 1)! = (n + 1)n!.

Answer:

y= -1/4x+ 3.75

Step-by-step explanation:

Answer:

unbias

Step-by-step explanation:

Not asking specific group or person.

This survey question is bad/biased., This survey question is good/unbiased. This survey question is bad/biased. Option A is correct.

A survey is a method of gathering information or data from a group of individuals to understand their opinions, attitudes, behaviors, or characteristics. Surveys typically involve asking questions to a sample of people and collecting their responses.

The quality of a survey question is important to ensure that the data collected is accurate, reliable, and unbiased. A good survey question should be clear, concise, and neutral, avoiding any potential bias or leading the respondent to a particular answer.

In the case of the question "Do you always eat breakfast?", it can be considered a bad or biased survey question because it assumes that the respondent either always eats breakfast or does not. It doesn't provide options or consider other possibilities such as occasionally skipping breakfast or having different breakfast habits on different days. This can lead to inaccurate or incomplete responses, limiting the validity and reliability of the data collected.

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Answer:

156

Step-by-step explanation:

area = 4*4 + 14 * 10

        = 16 + 140

        =156 cm²

Hello!

2x - 3 > 11 - 5x

2x + 5x > 11 + 3

7x > 11 + 3

7x > 14

x > 14 : 7

x > 2

x = 4 → the solution

Good luck! :)

Answer:

1.)36

2.)54

Step-by-step explanation:

sana po makatulong gehehe

Answer:

the answer is 8 because DEF is 8 times larger than ABC.

Step-by-step explanation:

hope that helps>3

Answer:

3

Step-by-step explanation:

To find scale factor, you need to divide two of the given sides. Meaning you can do any corresponding sides. So, for now, I will do 12 from DEF and 4 from ABC.

12 ÷ 4 = 3

To check if it is accurately 3, you will do it again (optional). You can use 15 from DEF and 5 from ABC

15 ÷ 5 = 3

Since both are 3, that will be the scale factor.

The answer is 3.

Answer:

Option i

Step-by-step explanation:

The given expression is , 5x² - 3xy .

We can clearly see that there are two terms in the expression , 5x² and 3xy .

Therefore option (i) is correct .

Answer:

126x9

Step-by-step explanation:

Answer:19 You can use addition 12+7=19 19-7=12

9514 1404 393

Answer:

  B.

Step-by-step explanation:

The symmetric properties of equality and congruence let you swap sides of the equality/congruence symbol without changing the truth of the statement:

  A ≅ B   ⇔   B ≅ A

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the vertices of the triangles is missing.

However, the following formula can be used to calculate distance;

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Take for instance:

[tex]A = (1,8)[/tex]

[tex]A' = (7,8)[/tex]

The distance between both is:

[tex]d = \sqrt{(1- 7)^2 + (8- 8)^2}[/tex]

[tex]d = \sqrt{(-6)^2 + 0^2}[/tex]

[tex]d = \sqrt{36 + 0}[/tex]

[tex]d = \sqrt{36}[/tex]

Take square root

[tex]d = 6[/tex]

Apply the above steps to the complete question

Answer:

A D 3 3

B E 3 3

C F 3 3

A G 5 5

B H 5 5

C I 5 5

A J 6.4 6.4

B K 6.4 6.4

C L 6.4 6.4

Step-by-step explanation:

PLATO ANSWER

Answer:

the center is -1,1 and the radius is 4 i think

Step-by-step explanation:

Answer:

62°

Step-by-step explanation:

Answer:

x = 2/3

Step-by-step explanation:

-3x + 4 = 2

-3x = -2

x = 2/3

y = 2

(plug it into original equation)

(2/3. 2)

The equation of the new path would be y=1/3x+4.

Explanation

If two lines are perpendicular, their slopes are negative reciprocals of each other.  The original equation is written in slope-intercept form, y=mx+b, where m is the slope.  In this equation, m=-3=-3/1.

In the new equation, the slope would be the opposite sign and flipped; this means it would be 1/3.

We can use the point given, the slope and slope-intercept form to write the equation of the new line:

y=mx+b

3=1/3(-3)+b

3=1/3(-3/1)+b

3=(-3/3)+b

3=-1+b

Add 1 to both sides:

3+1=-1+b+1

4=b

This makes the equation y=1/3x+4.

Answer:

B

Step-by-step explanation:

> if the lines are perpendicular then their slopes are negative reciprocal so

y=mx+b , is the general form where is m = slope

y= -3x -4, old path has slope m= -3

y= (1/3)x +b , is the new path with slope m=(1/3)

>if the paths intersect at (-3,3) then this point is on the new path as well

y= (1/3)x +b, now substitute x= -3, and y=3 to find b

3 = (1/3)(-3)+b , divide -3/3

3= -1 +b, add 1 to both sides

4 = b

>the equation of the new path is

y= (1/3)x +4

Ans. (a)

SQ and RQ

Ans. (b)

∠RQT

∠TQR

Ans. (c)

Q

Answer:

(2, 0) and (6, 0)

Step-by-step explanation:

[tex]y = x^2 - 8 x + 12[/tex]

To get the x intersept put y = 0

[tex]x^2 - 8 x + 12 = 0 \\\\x^2 - 6 x - 2 x + 12 = 0 \\\\x(x- 6) - 2(x - 6) = 0 \\\\(x - 2) (x - 6) = 0 \\\\x = 2 and x = 6[/tex]

So, the intersepts are

(2, 0) and (6, 0)

Answer:

From top to bottom;

1,1,3,3

Step-by-step explanation:

mathematically, for an even function;

f(x) = f(-x)

what this mean is that;

f(-1) = f(1)

f(-3) = f(3)

f(-5) = f(5)

f(-6) = f(6)

so we have it that;

f(-1) = 1

f(-3) = 1

f(-5) = 3

f(-7) = 3

Answer:

D. 84°

Step-by-step explanation:

I'm correct if I'm rwong

The measure of UV will be similar to the measure of XY. Then the measure of UV is 46°, then the correct option is C.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

The measure of UV will be similar to the measure of XY.

UV = XY

UV = 46°

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Answer:

From left to right:

The first one is 2

The second one is 1/2

The third one is 2

The fourth one is 1

Step-by-step explanation:

Answer:

no question pls give and I can think

Answer:

Step-by-step explanation:

Radius r = 15

Circumference = 2πr = 30π cm

Circumference of cone = arc length of sector

= 30π × 216°/360°

= 18π cm

Radius of base of cone = 18π/(2π) = 9 cm

Slant height of cone = radius of circle = 15 cm

Height of cone = √(15² - 9²) = 12 cm

Answer:

A(-9, 8), B(-5, 5), C(1, 13), D(-3, 16) → 50 square units

I(-6, 2), J(2, 2), K(2, -8), L(-6, -8) → 80 square units

Q(10, 0), R(15, 5), S(25, -5), T(20, -10) → 100 square units

U(0, 5), V(15, 20), W(25, 10), X(10, -5) → 300 square units

Step-by-step explanation:

The area of a rectangle, given the coordinates of the  vertices is found as follows;

1) The vertices of the rectangle ABCD are; A(-9, 8), B(-5, 5), C(1, 13), and D(-3, 16)

The length of side AB = √((-9 - (-5))² + (8 - 5)²) = 5

The length of side BC = √((1 - (-5))² + (13 - 5)²) = 10

The length of side CD = √((1 - (-3))² + (13 - 16)²) = 5

The length of side DA = √(((-9) - (-3))² + (8 - 16)²) = 10

The area of rectangle ABCD = 5 × 10  = 50 square units

2) The vertices of the rectangle EFGH are; E(30, 20), F(39, 29), G(49, 19), and H(40, 10)

The length of side EF= √((39 - 30)² + (29 - 20)²) = 9·√2

The length of side FG = √((39 - 49)² + (29 - 19)²) = 10·√2

The length of side GH = √((40 - 49)² + (10 - 19)²) = 9·√2

The length of side HE = √((40 - 30)² + (10 - 20)²) = 10·√2

The area of rectangle EFGH = 9·√2 × 10·√2  = 180 square units

3) The vertices of the rectangle IJKL are; I(-6, 2), J(2, 2), K(2, -8), and L(-6, -8)

The length of side IJ= √((-6 - 2)² + (2 - 2)²) = 8

The length of side JK= √((2 - 2)² + ((-8) - 2)²) = 10

The area of rectangle IJKL = IJ × JK

∴ The area of rectangle IJKL = 8 × 10 = 80 square units

4) The vertices of the rectangle MNOP are; M(5, 5), N(11, 5), O(11, -5), and P(5, -5)

The length of side MN = √((5 - 11)² + (5 - 5)²) = 6

The length of side NO = √((11 - 11)² + ((-5) - 5)²) = 10

The area of rectangle MNOP = 6 × 10 = 60 square units

5) The vertices of the rectangle QRST are; Q(10, 0), R(15, 5), S(25, -5), and T(20, -10)

The length of side QR = √((10 - 15)² + (0 - 5)²) = 5·√2

The length of side RS = √((25 - 15)² + ((-5) - 5)²) = 10·√2

The area of rectangle QRST = 5·√2 × 10·√2 = 100 square units

6) The vertices of the rectangle UVWX are; U(0, 5), V(15, 20), W(25, 10), and X(10, -5)

The length of side UV = √((0 - 15)² + (5 - 20)²) = 15·√2

The length of side VW = √((25 - 15)² + (10 - 20)²) = 10·√2

The area of rectangle UVWX = 15·√2 × 10·√2 = 300 square units

Answer:

A(-9, 8), B(-5, 5), C(1, 13), D(-3, 16)—

(50 square units)

I(-6, 2), J(2, 2), K(2, -8), L(-6, -8)—

(80 square units)

Q(10, 0), R(15, 5), S(25, -5), T(20, -10)—(100 square units)

U(0, 5), V(15, 20), W(25, 10), X(10, -5)—(300 square units)

Step-by-step explanation:

got it right on test, hope I helped