please solve asap :) thank youuu

Answer:

HL Postulate

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HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.  

AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )

∴ Δ ABC ≅ Δ DEF by RHS theorem

Theorem : Prove RHS theorem or postulate.

Given : AC = DF , BC = EF and ∠B = ∠E = 90 0

Prove that : ΔABC ≅ ΔDEF

Construction : Extend DE to G so that EG = AB. Join GF.

Statements

Reasons

1) AB = GE 1) Construction

2) ∠B = ∠FEG 2) Each 900

3) BC = EF 3) Given

4) ΔABC ≅ ΔGEF 4) By SAS postulate

5) ∠A = ∠G 5) CPCTC

6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal

7) AC = DF 7) Given

8) DF = GF 8) By transitive property

9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal

10) ∠A = ∠D 10) From (5) and (9)

11) ∠B = ∠E 11) Given

12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)

13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180

and ∠D + ∠E + ∠F = 1800

14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)

Step-by-step explanation:

Answer:

Step-by-step explanation:

HL is the the Hypothenuse Leg Postulate that sais that

If the hypotenuse and leg of one triangle are congruent

to the hypotenuse and leg of another triangle

then the triangles are congruent.

Answer:

15.7

Step-by-step explanation:

circumference = pi x diameter

3.14 x 5 = 15.7

Answer:

The sales tax is 6.5% of the selling price of the book: 0.065($90.00) = $5.85.

Step-by-step explanation:

Answer:

Reagan

Explanation:

Since Reagan is able to stock the same number of shelves as Savannah while spending less time to do so, it means that Reagan is able to stock shelves faster than Savannah, thus Reagan is able to stock more shelves than Savannah given that their average speeds are constant and that they both work under 4-hour shifts.

Hope this helps :)

.......................

Step-by-step explanation:

b =-4 (y-intercept)

x =0

m = 0 (the line doesn't have a slope)

y = mx + c

y = 0(0) + (-4)

y = - 4

Answer:

y = 2x - 3

Step-by-step explanation:

y = mx + b

slope is m, so m=2

y-intercept is b, so b= -3

============================================================

Given:-

To find:-

Remember, slope-intercept form looks like so:-

[tex]\bigstar{\boxed{y=mx+b}[/tex]

Where

m stands for the slope

b stands for the y-intercept

in this case, m -> 2, and  b-> -3

Plug in the values:-

[tex]\bigstar{\boxed{y=2x-3}[/tex]

=========================================================

Hope everything is clear; if you need clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

10,000

Step-by-step explanation:

Answer:

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A

Step-by-step explanation:

In the given figure

∵ The blue line passes through points A and B

∵ A = (-4, -2) and B = (4, 4)

∴ x1 = -4 and y1 = -2

∴ x2 = 4 and y2 = 4

→ Substitute them in the rule of the slope

∵ m(AB) = [tex]\frac{4--2}{4--4}[/tex] = [tex]\frac{4+2}{4+4}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

∴ The slope of line AB is  [tex]\frac{3}{4}[/tex]

∵ The green line passes through points C and D

∵ C = (0, -3) and D = (4, 0)

∴ x1 = 0 and y1 = -3

∴ x2 = 4 and y2 = 0

→ Substitute them in the rule of the slope

∵ m(CD) = [tex]\frac{0--3}{4-0}[/tex] = [tex]\frac{0+3}{4}[/tex] = [tex]\frac{3}{4}[/tex]

∴ The slope of line CD is  [tex]\frac{3}{4}[/tex]

∵ The slope of line AB = the slope of line CD

∵ Parallel lines have the same slope

∴ AB // CD

∴ AB and CD are parallel lines

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"

Answer:

a. they are parallel because their slopes are equal

Step-by-step explanation:

did the review on edge

Answer:

20 ; 40 ; 80 ; 10(2^n)

Step-by-step explanation:

Given that:

Initial amount of goo (p) = 10 gram

Total amount of goo increased by 100% every hour ;

How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?

Using the relation :

Final amount = initial * (1 + rate)^t

Rate = 100% = 100/100 = 1

t = number of hours

Hence, after 1 hour :

Final amount = 10(1 + 1)^1

Final amount = 10(2)^1 = 20 grams

After 2 hours : t = 2

Final amount = 10(1 + 1)^2

Final amount = 10(2)^2 = 10 * 4 = 40 grams

After 3 hours ; t = 3

Final amount = 10(1 + 1)^3

Final amount = 10(2)^3 = 10 * 8 = 80 grams

After n hours ; t = n

Final amount = 10(1 + 1)^n

Final amount = 10(2)^n grams

Answer: 3x + 1

Step-by-step explanation:

A p e x

Answer:

It is not a function because the output of 9 repeats.

(1,9) (4,9)

:D

Answer:

The transformation is (x,y) to (x-2,y-6)

Step-by-step explanation:

First of all, we note the coordinates of the point G

The coordinates of the point G is (2,6)

To bring this to the origin, we are looking at bringing it to the point (0,0)

To do this, we subtract 2 from the x-value and 6 from the y value

So what we have is that;

(x-2) and (y-6)

(x-2, y-6)

Answer: a = 45°

Step-by-step explanation:

The measure of∠PSR is given: 90°

Given PS = RS, this is an isosceles triangle. so measure of ∠SPR, labeled "a" is equal to the measure of ∠SPR.  

The total of all angles in a triangle is 180. So subtract 90, then divide by 2.

180-90 = 90

90/2 = 45

a = 45°

If "b" is supposed to be the measure of ∠SRQ, that is 15°  The larger triangle is equilateral; all the angles are 60°. 60 - 45 = 15

Answer:

y=2.25

Step-by-step explanation:

0.25x9=2.25

Answer:

8 batches

Step-by-step explanation:

6 2/3= 6 4/6 =40/6

40/6 divided by 5/6= 8

Answer:

x + y = 5 (or) xy = 4 (or) x - y = 3

Answer:

...520 miles

Step-by-step explanation:

if he keeps the same pace then you can just put two and two together 260 + 260 = 520 (seems too easy so sorry if im wrong)

Answer:

-1,882384 x 10^6 or -1372^2

Step-by-step explanation:

Both forms equal -1882384.

Answer:

(16, 6)

Step-by-step explanation:

The coordinate of an ordered pair is often represented as (x, y). That is, when x is equal to a particular value, the value of y would be the corresponding value to x on the coordinate plane.

So, given an incomplete ordered pair, (16, ), to find the missing coordinate, trace the value of y that corresponds to the value of x = 16.

That is, what is the value of y when x = 16.

From the plot, when x = 16, y = 6. The missing coordinate is 6.

Thus, we would have:

(16, 6).

Answer:

b=1

Step-by-step explanation:

1) Distribute

6+7b-7=5+b

2) Combine like ter,s

7b-1=5+b

3) Isolate variable

6b=6

4) Solve

b=1

Answer:

b = 1

Step-by-step explanation:

6 + 7b - 7 = 5 + b

7b - b = 5 - 6 + 7

6b = 6

b = 1

Answer:

A would make sense

Step-by-step explanation:

Answer:

56.25 minutes

Step-by-step explanation:

1 mile is 6.25 minutes

9 miles is _____?

6.25 minutes x 9 miles =

56.25 minutes

Find Unit Rate to help solve

Hope this helps :)

Answer:

not equal to

are not

Step-by-step explanation:

guessed on plato and got it right. Thank You!!!!

Answer:

The correct answers are:

Not equal to

Are not

Step-by-step explanation:

I got it right on the Edmentum test.

Answer:

480 in^3

Step-by-step explanation:

A=l×b×h

10×8×5+4×4×5

=480

Answer:

m = -1

Step-by-step explanation:

The line is going down from left to right, meaning the slope is negative. The line is going down at the same rate at which it's going to the right, meaning the numerator and denominator are the same (a fraction with the same numerator and denominator is 1)

Answer:

23.1

Step-by-step explanation:

The radius of the cone is

32÷2

16

So the equation is

s²=r²+h²

h²=s²-r²

h=√s²-r²

h=√28.1²-16²

h=√789.61-256

h=√533.61

h=23.1