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Answer:

The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).

The transformation is rigid.

Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.

If figure 1 is located 360° about point C, it will be mapped onto itself.

Step-by-step explanation:

Consider IJ and GL are the parallel sides of the trapezoid.

Given:

In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.

To find:

The length of the mid segment HK.

Solution:

The length of the mid segment of a trapezoid is:

[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]

where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.

HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:

[tex]HK=\dfrac{IJ+GL}{2}[/tex]

[tex]HK=\dfrac{7+15}{2}[/tex]

[tex]HK=\dfrac{22}{2}[/tex]

[tex]HK=11[/tex]

Therefore, the length of HK is 11 units.

Answer:3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subset : {} ; {1}  ; {2}  ; {3}  ; {1,2}  ; {2,3} ;  {1, 3} ; {1,2,3}

Number of subsets = 8

Answer:

45 degrees

Step-by-step explanation:

Since we have a right triangle, we use the appropriate trigonometric ratio

The angle marked P faces QR and that makes it the opposite side

PR faces the right angle and that makes it the hypotenuse

The trigonometric ratio that links the opposite and the hypotenuse is the sine

It is the ratio of the opposite to the hypotenuse

Thus;

sin P = √26/2 √13

Sin P = √2/2

P = arc sin √2/2

P = 45 degrees

Answer:

.25

Step-by-step explanation:

you divide 1 by 4 which equals .25

Answer:

1/4 as a number is 0.25

Step-by-step explanation:

Divide 1 by 4 = 0.25

Answer:

m = 5, n = 2

Step-by-step explanation:

[tex]5m - 3 n = 19\\m - 6n = - 7 \ => m = -7 + 6n\\\\Substitute \ m \ in \ 5m - 3n = 19\\\\5(-7 + 6n) - 3n = 19\\-35 + 30n -3n = 19\\27n = 19 + 35 \\27n = 54 \\n = 2\\\\Substitute \ n = 2 \ in \ m = -7 + 6n\\\\m = -7 + (6 \times 2) = -7 + 12 = 5[/tex]

Answer:

$669

Step-by-step explanation:

Given data

Principal= $500

Rate= 6%

Time= 5 years

The compound interest formula is given as

A= P(1+r)^t

A=500(1+0.06)^5

A=500(1.06)^5

A=500*1.338

A=$669

Answer:

The answer is A. 31,250.

Step-by-step explanation:

To solve for the 7th term in the geometric sequence, start by plugging 7 into the explicit formula, and the formula will look like [tex]a_{7}=2*5^{(7-1)}[/tex].

Next, subtract 1 from 7, and the formula will look like [tex]a_{7}=2*5^{6}[/tex].

Then, raise 5 to the power of 6, which will look like [tex]2*15625[/tex].

Finally, multiply 2 by 15,625, and the answer will be 31,250.

Answer:

There isnt a graph.

Step-by-step explanation:

Answer:

rhombus

Step-by-step explanation:

Answer:

yuh?

and what help do you need from me?

im a math genius, thank you very much

:)

Answer:

Step-by-step explanation:

suface area of base=1/2×9×7.8=9×3.9=35.1 yd²

lateral surface area=3×1/2×9×10=135 yd²

total surface area=135+35.1=170.1 yd²

i assumed it is an equilateral triangular base.

as √(7.8²+4.5²)=9.0049≈9

Answer:

d 180 miles

Step-by-step explanation:

4.5×40= 180 miles

The actual distance to college Lisa and Susan going together is 180 miles.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The map scale is 1 in. = 40 mi.

Lisa and Susan are driving to college together, On the map, Lisa measures the distance to be 4.5 inches.

Therefore,

The actual distance to college is,

= (4.5×40) miles.

= 180 miles.

learn more about scale factors here :

https://brainly.com/question/30215119

#SPJ2

Answer:

What are the statements?

Step-by-step explanation:

You have to list the statements.

Answer:

2/5

Step-by-step explanation:

Answer:

Angle HFG = 24 degrees

Step-by-step explanation:

From the diagram, we have the following;

Angle EFH and angle HFG are complementary (they add up to be 90 degrees)

angle EFH + angle HFG = 90

Angle HFG = 90-66

Angle HFG = 24 degrees

Answer:

a23, a31, a21, a11, a12, a33

Step-by-step explanation: I got it right on Edumentum.

Answer:

a23, a31, a21, a11, a12, a33

Step-by-step explanation:

Answer: pretty sure it is 201 tiles

please mark me brainlies. That would be helpful

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{m=8}[/tex]

»»————-　★　————-««  

Here’s why:  

[tex]\boxed{\text{The Slope Formula:}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\------------\\m - \text{slope}\\\\(x_1,y_1) \text{ and }(x_2,y_2) - \text{points in the given function}[/tex]

⸻⸻⸻⸻

[tex]\text{\underline{Choosing two points from the table and applying the formula...}}\\\\m = \frac{34-26}{2-1}\\\\\boxed{m = \frac{8}{1}}[/tex]

⸻⸻⸻⸻

[tex]\text{The slope is 8.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

7.36

Step-by-step explanation:

Area=92

Height=23

Base=?

Area=1/2*base*height

92=1/2*23*height

92=12.5*height

920/125=height

7.36=height

Pleae mention unit in answer

Mark me as brainliest

Answer:

Step-by-step explanation:

Arc BAD is intercepted by inscribed angle BCD which measures 110. The rule is that an intercepted arc is twice the measure of the angle that intercepts it. Therefore, arc BAD is 110(2) which is 220.

Step-by-step explanation:

The last two answers is correct

Answer:

4

Step-by-step explanation:

The answer to T - H is negative

Answer:

Step-by-step explanation:

Answer:

=3

Step-by-step explanation:

given the general form ax2 +bx+c=0

there exist two solutions where: a=1,b=3andc=3

Answer:

my suggested answer (576)

Step-by-step explanation:

i chose the wrong answer :(

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2 + b^2 = c^2

B^2 + 8^2 = 15^2

B^2 + 64 + 225

B^2 = 225 - 64

B^2 = 161

B = [tex]\sqrt{161}[/tex]    OR  12.7

Given:

The expression is:

[tex]f^3+11g-4h[/tex]

The given values are [tex]f=3,\ g=2,\ h=7[/tex].

To find:

The value of the given expression for the given values.

Solution:

We have,

[tex]f^3+11g-4h[/tex]

After substituting [tex]f=3,\ g=2,\ h=7[/tex], we get

[tex]f^3+11g-4h=(3)^3+11(2)-4(7)[/tex]

[tex]f^3+11g-4h=27+22-28[/tex]

[tex]f^3+11g-4h=49-28[/tex]

[tex]f^3+11g-4h=21[/tex]

Therefore, the value of the given expression is 21.

Answer:

The loss on the sale of 50 type M cars is $8000, and the loss is decreasing at the rate of $500 per 50 type M car sold.

Step-by-step explanation:

Given

[tex]L(50) = 8000[/tex]

[tex]L'(50) = -500[/tex]

Required

Interpret

From the question, we understand that:

[tex]x \to[/tex] Number of cars

[tex]L(x) \to[/tex] Profit on x cars

Using the above as a point of reference,

[tex]L'(x) \to[/tex] Rate of loss per x cars

So, the interpretations are:

[tex]L(50) = 8000[/tex]

A loss of 8000 on 50 cars

[tex]L'(50) = -500[/tex]

The loss rate is a reduction of 500 per 50 car

Answer:

area of the larger figure=32 yd×37 yd

=1184 yd²

area of the smaller figure=21 yd ×26 yd

=546 yd²

area of the shaded region=1184 yd² -546 yd²

=638 yd²

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation: