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3 years ago

List the 6 congruency statements given triangle ABC is congruent to triangle DEF

Mathematics

2 answers:

Doss [256]3 years ago

5 0

The correct answer is A

fredd [130]3 years ago

4 0

It should be the first one

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Show that x⁵²-21x+20 is divisible by x− 1.

SashulF [63]

Answer

given equation,

x⁵²-21 x+20

A number to be divisible by the another number means that on dividing the remainder should be zero.

if x⁵²-21 x+20 is divisible by x− 1 means that x-1 should completely divide the equation.

so,

x -1 = 0

x = 1

x⁵²-21 x+20 to be divisible it should be equal to zero when x = 1

putting x = 1

= (1)⁵²-21 (1)+20

= 1 - 21 + 20

= 21 -21

= 0

hence x = 1 is the root of the equation

so, x⁵²-21 x+20 is divisible by x− 1.

4 0

3 years ago

what is the tens place and the hudreds digit and the thousands digit then on the other half it what the tents digit hundredths d

Lana71 [14]

Answer: 8. Tens:4 Hundreds:5 Thousands:7

9. Tens:9 Hundreds:9 Thousands:9

10.Tenths:6 Hundredths:2 Thousandths:4

11. Tenths:7 Hundredths:3 Thousandths:6

Step-by-step explanation:

6 0

3 years ago

pressure equals force per unit of area. if 60 lbs of force were exerted on a 3 square inch surface, what was the pressure in pou

Anvisha [2.4K]

Answer:

20 pounds / in^2

Step-by-step explanation:

Presssure = Force in pounds / Area in square inches.

Force: 60 pounds (given)

Area: 3 in^2 (given

Pressure = 60/3 = 20 pounds / square in

3 0

4 years ago

If f(x) and its inverse function, fx), are both plotted on the same coordinate plane, what is their point of intersection?

Lubov Fominskaja [6]

Answer: (3, 3)

Step-by-step explanation:

the graphs of $f$ and $f^{-1$ are flipped: if the point $(x, y)$ is on the graph of $f$ , then the point $(y, x)$ is on the graph of $f^{-1$ .

Any points of intersection will satisfy $(x, y) = (y, x)$ . A point that satisfies this property must have the same x and y coordinate. (Think about it.) The only point on $f$ like that is $(3, 3)$ , so that is the point of intersection.

7 0

2 years ago

Each side of a square is increasing at a rate of 8 cm/s. At what rate (in cm2/s) is the area of the square increasing when the a

statuscvo [17]

Answer:

Step-by-step explanation:

This is nice and simple. I'm going to walk through it like I do when teaching this concept to my class for the first time. This is a good problem for that.

We are given a square and we are looking for the rate at which the area is increasing when a certain set of specifics are given. That means that the main equation for this problem is the area of a square, which is:

$A=s^2$ where s is a side.

Since we are looking for the rate at which the area is changing, $\frac{dA}{dt}$ , we need to take the derivative of area formula implicitly:

$\frac{dA}{dt}=2s\frac{ds}{dt}$ that means that if $\frac{dA}{dt}$ is our unknown, we need values for everything else. We are given that the initial area for the square is 49. That will help us determine what the "s" in our derivative is. We plug in 49 for A and solve:

$49=s^2$ so

s = 7

We are also given at the start that the sides of this square are increasing at a rate of 8cm/s. That is $\frac{ds}{dt}$ . Filling it all in:

$\frac{dA}{dt}=2(7)(8)$ and

$\frac{dA}{dt}=112\frac{cm^2}{s}$

5 0

3 years ago

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