This is part of my knowledge check that's due today at 11:59 am. Please help me on this question

Can you use the SSS Postulate or the SAS Postulate to prove fez = fgz

GREYUIT [131]

From the shown figure we have:
1) FE = FG ⇒⇒⇒ given
2) ∠EFZ = ∠GFZ ⇒⇒⇒ given
3) FZ = FZ ⇒⇒⇒ Reflexive Property

∴ The triangles are congruent by SAS

The correct choice is: 
by SAS only

6 0

3 years ago

Read 2 more answers

What is the circumference of a circle circumscribed around a rectangle with sides 7 cm and 24 cm?

Tomtit [17]

Answer:

25π cm ≈ 78.54 cm

Step-by-step explanation:

The diameter of the circumscribing circle is the diagonal of the rectangle.

You may recognize the rectangle dimensions as the numbers in the (7, 24, 25) Pythagorean triple. If not, you can compute the diagonal length from ...

d = √(7²+24²) = √(49+576) = √625 = 25 . . . . centimeters

The circumference of the circle is π times the diameter:

C = πd = 25π cm

4 0

3 years ago

Read 2 more answers

Write down the coordinates of the image of the point (2-3) under reflecting about the line joining the points (3, 5) and (3,7)

Murrr4er [49]

Answer:

(4 , -3)

Step-by-step explanation:

the points (3 , 5) and (3 , 7) have the same x-coordinates 3

then ,the line D joining them has the equation

D : x = 3

the image of the point A(2 , -3) under reflecting about The line D ,

lie on the line ∆ perpendicular to D and passes through A.

∆ perpendicular to D then the equation of ∆ is :

∆ : y = a ,where a is a real number.

Calculating ‘a’ :

∆ passes through A

Then

-3 = a

Therefore

the final equation of ∆ is :

∆ : y = -3

Obviously, the lines D and ∆ intersect at the point M(3 , -3)

FINAL STEP :

Calculating the coordinates of the point B(x , y) image of the point A(2 , -3)

M is the midpoint of the line segment AB :

Then

3 = (2 + x)/2 and -3 = (-3 + y)/2

Then

x = 4 and y = -3.

4 0

2 years ago

Leveled

Marat540 [252]

Answer:

48.6

Step-by-step explanation:

Put the values in place of the variables and simplify according to the Order of Operations in the usual way.

10.2x +9.4y

= 10.2(2) +9.4(3) . . . . . 2 is substituted for x; 3 is substituted for y

= 20.4 +28.2

= 48.6

8 0

2 years ago

Prestige car rentals charge $44 per day plus 6 cents per mile to rent a mid sized vehicle. Gateway auto charges $35 per day plus

bulgar [2K]

Answer:

300 miles

Step-by-step explanation:

Let

x ----> the number of miles

y ----> the total cost for rent a car

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

Prestige car rentals

we have that

The slope is equal to $m=\$0.06\ per\ mile$

The y-intercept is $b=\$44$

therefore

$y=0.06x+44$ -----> equation A

Gateway auto

we have that

The slope is equal to $m=\$0.09\ per\ mile$

The y-intercept is $b=\$35$

therefore

$y=0.09x+35$ -----> equation B

For what number of miles both companies charge the same price>

Equate equation A and equation B

$0.09x+35=0.06x+44$

solve for x

$0.09x-0.06x=44-35\\0.03x=9\\x=300\ miles$

6 0

3 years ago