Factorise:
16p^2 + q^2 +4r^2 - 8pq+ 4qr -16pr .
Help me Plz....
​

Given:

[tex]\Delta ABE\cong \Delta MNP[/tex]

To find:

The congruent angles and sides, then find the another valid congruency statement.

Solution:

We have,

[tex]\Delta ABE\cong \Delta MNP[/tex]

We know that, corresponding parts of congruent triangles are congruent (CPCTC).

Using CPCTC, we get

Angles:

[tex]\angle A\cong \angle M[/tex]

[tex]\angle B\cong \angle N[/tex]

[tex]\angle E\cong \angle P[/tex]

Sides:

[tex]AB\cong MN[/tex]

[tex]BE\cong NP[/tex]

[tex]AE\cong MP[/tex]

The another congruent statement is [tex]\Delta BEA\cong \Delta NPM[/tex].

Therefore, the required table is

Angles                                              Sides

[tex]\angle A\cong \angle M[/tex]                                        [tex]AB\cong MN[/tex]

[tex]\angle B\cong \angle N[/tex]                                        [tex]BE\cong NP[/tex]

[tex]\angle E\cong \angle P[/tex]                                        [tex]AE\cong MP[/tex]

The another congruent statement is [tex]\Delta BEA\cong \Delta NPM[/tex].

Answer:

y = -1/4x+2

Step-by-step explanation:

The SIF (slope intercept form) is pretty easy once you get it down. the slope is the interger before x, and the y-intercept is b. so, if you input each number into it's spot, it would become y = -1/4x + 2.

Answer:

hii hope it helps

Step-by-step explanation:

sorry for these pics

Answer:

20x-2

Step-by-step explanation:

Eliminate redundant parentheses:

(11+2)+(9−4)

11+2+9−4

Subtract the numbers:

11+2+9−4

11−2+9

Combine like Terms:

11−2+9

20−2

Solution:

20x-2

Answer:

6 and -7

Step-by-step explanation:

6 - 7 = -1

6 * -7 = -42

Hope this helped!

Answer:

-7 and 6

Step-by-step explanation:

-7+6= -1 which is true

-7*6= -42 2hich is also true

Answer: 33.1 million

Step-by-step explanation:

The US Census Bureau estimates that as of 2021, the US population is around 331 million people.

If 10% of that number go to a restaurant or an event for New years, that number would be:

= 10% * 331,000,000

= 33.1 million

Answer:

if you where to flip CBE on top of ABD they will fit perfect

Step-by-step explanation:

its not rlly that hard if you can see point AD = CE so is AB=CB both triangles end at B they both have a right angle at the end of ABD and CBE and both have an acute angle at the end at point B from AD and CE

Answer:

By AA postulate

Step-by-step explanation:

[tex] In\: \triangle ABD \: \&\: \triangle CBE[/tex]

[tex] \angle BAD\cong\angle BCE... (given) [/tex]

[tex] \angle ABD\cong\angle CBE... (given) [/tex]

[tex] \therefore \triangle ABD\sim\triangle CBE[/tex] (By AA postulate)

Answer:

6.08

Step-by-step explanation:

Answer: I will be there at about five or seven or later today and then I’m going to be there

Step-by-step explanation:

Question for the answer questions about the question question for you and I have to do a little more

Answer:  182.075

Step-by-step explanation: 145.66 divided by 0.8 =182.0.75

Answer:

182.075

Step-by-step explanation:

Divide 145.66 and 0.8 to get=182.075.

Answer:

3.66666666667

Step-by-step explanation:

First, we need to find the unit rate to figure out how many miles Shane rides in 1 hour. To do this it is simple, I divided 12 and 2 to get 6 miles per hour. Then we would do 22/6 but we get a decimal so it would be about 3.66666666667.

Answer:

Step-by-step explanation:

this is the same equation, the system has infinitely many solutions

Answer:

2.7 miles

Step-by-step explanation:

25 - 10.4 - 4.5 - 7 2/5 will give you 2.7

Answer:

8 miles

Step-by-step explanation:

If we divide 70 by 50, we get the unit rate for the ratio 70 minutes for every 50 miles.

70÷50=1.4

So the runner is running 1.4 minutes per mile. We can multiply this unit rate by the number of miles:

1.4 minutes mile × 5 miles = 7 minutes

Thus it will take her 7 minutes to run 5 miles at this pace.

If it takes her 7 minutes to run 5 miles, it will take her 7÷5 = 1.4 minutes to run 6÷3=2 miles at the same pace.

If it takes her 1.4 minutes to run 5 miles, it will take her 1.4×5=7 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

Answer:

?

Step-by-step explanation:

Answer:

What do you need help with

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

3x+8=20

3x=20-8=12

X=12/3=4.

X=4

I hope it helps.

Answer:

x=4

Step-by-step explanation:

3x+8=20

3x=20-8

3x=12

x=12÷3

x=4

Answer:

80 m.

Steps: perimeter =4 x side

=4x20=80m

Answer:

40 m

Step-by-step explanation:

Formula of perimeter of a rectangle = 2(l + b)

where l = Length & b = Breadth

According to the question ,

Sum of length & breadth = l + b = 20m

Perimeter = 2(l + b) = 2 × 20 = 40m

Answer:

480 Litres

Step-by-step explanation:

Percentage increase = 20% × 400

New value =

400 + Percentage increase =

400 + (20% × 400) =

400 + 20% × 400 =

(1 + 20%) × 400 =

(100% + 20%) × 400 =

120% × 400 =

120 ÷ 100 × 400 =

120 × 400 ÷ 100 =

48,000 ÷ 100 =

480

Answer:

it'll 7 hours to a journey of 175km

Step-by-step explanation:

25km/per hour

25 x 7 = 175km

Answer:

wsp

Step-by-step explanation:

Answer:

6(8+3x)

Step-by-step explanation:

48+18x = 6(8+3x)

Answer:

The equation that models the population growth is y = 90,000(1.02)^x

Step-by-step explanation:

The formula of the exponential growth is y = a [tex](b)^{x}[/tex], where

Let us solve the question

∵ At x = 0, the population y = 90,000

→ That means the initial value is 90,000

∴ a = 90,000

→ Substitute it in the form of the equation above

∴ y = 90,000 [tex](b)^{x}[/tex]

→ To find b use any values from the table to substitute x and y

∵ At x = 1, y = 91,800

∵ 91,800 = 90,000 [tex](b)^{1}[/tex]

∴ 91,800 = 90,000 b

→ Divide both sides by 90,000

∵ [tex]\frac{91,800}{90,000}[/tex] = [tex]\frac{90,000b}{90,000}[/tex]

∴ 1.02 = b

→ Substitute it in the equation above

∵ y = 90,000 [tex](1.02)^{x}[/tex]

∴ The equation that models the population growth is y = 90,000(1.02)^x

Answer:

Step-by-step explanation:

depends how much money is deposited, however, the choices can be just D or E

Answer:

B,D,E

Step-by-step explanation:

Does it say how much was deposited? Ok so deposit means your bank gets bigger so it cannot be less than -28.

My guess is that it will be either B,D,E

The reason I say my guess is because I think the question should have given you an amount of how much was deposited.

Answer:

6b+18

Step-by-step explanation:

3(2b + 4) + 6

6b + 12 + 6= 6b+18

Answer:

6b + 18

Step-by-step explanation:

3(2b + 4) + 6

6b + 12 + 6

6b + 18

Answer:

839.5

Step-by-step explanation:

365/2=182.5

4.60*182.5=839.5 pounds of rice in a year

Answer:

839.5

Step-by-step explanation:

well you could do this two ways, I simply divided 4.6 into 2 and multiplied it by 365

Answer:

(6x - 7) (6x - 7)

Step-by-step explanation:

A perfect square trinomial will be in the form of [tex]a^2[/tex] ± [tex]2ab + b^2.[/tex] A trick to factoring a perfect square trinomial would to write it as [tex](a^2[/tex]±[tex]b^2)[/tex]. (When doing this, the sign in the middle is determined by the middle sign in the original trinomial).

[tex]36x^2 -84x + 49[/tex] is known as a perfect square trinomial, too. Its first and last terms are both perfect squares (6x squared makes [tex]36x^2[/tex], 7 squared makes 49) and the middle term is 2 times the square roots of both of the other terms ( [tex](2) (7) (6x)[/tex] is [tex]84x[/tex]).

So, we can use the trick described earlier, and the answer would be [tex](6x-7)^2[/tex], also known as (6x-7) (6x-7).

Answer:

the last one shows a dialation

Answer:

(3,60)

Step-by-step explanation:

Marc is walking at a rate of 20 minutes per 1 mile; therefore, at that rate he can walk 3 miles in 60 minutes.