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3 years ago

Are the triangles congruent? If so, how do you know?

Mathematics

2 answers:

OlgaM077 [116]3 years ago

8 0

C.yes, because of ASA or AAS

vivado [14]3 years ago

6 0

Answer:

Step-by-step explanation:

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Please help me with a) and b) I’m very lost, please explain and how you got your answer

Karo-lina-s [1.5K]

To solve A, complete the square for both variables.

The center is (6,4)

8 0

3 years ago

How is multiplying and dividing numbers in scientific notation different from adding and subtracting numbers in scientific notat

cupoosta [38]

Answer:

multiple and divide are depending on the powers ( sometimes the numbers before the scientific n.)

If the power neg- , it's going down

like this 10^-5 = 1/10^5

If the power pos+ , it's the same idea but different in signs .

Adding and subtracting are depending on numbers ( If the scientific n. is the same number) .

for example:

3x10^5 + 4x10^5 = (3+4)x10^5 = 7x10^5

6 0

3 years ago

2x + 8y = 6<br> -5x - 20y = -15

kodGreya [7K]

Answer:

The total would be 40.53

Solve for the first variable in one of the equations, then substitute the result into the other equation.

x = 3 − 4 y

Step-by-step explanation:

This question is incomplete so

7 0

3 years ago

In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod

ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

$\frac{dp}{dt}=\frac{0.7}{100}P$

$\int \frac{dP}{P}=0.007\int dt$

$lnP=0.007t+C$

Using the formula

$\int \frac{dx}{x}=ln x+C$

$P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}$

$e^C=A$

Initially when t=0,P=323 million

Substitute the values

$323 million=A$

$P=323e^{0.007t}$

Now, substitute P=400 million

$400=323e^{0.007t}$

$ln\frac{400}{323}=0.007t$

$ln(1.2384)=0.007t$

$t=\frac{ln(1.2384}{0.007}$

$t=30.5\approx 31 Years$

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0

3 years ago

21.) A rectangle has an area of 36 square units. As the length and width change, what do you know about their

natima [27]

Answer:

the length and the width are inversely proportional to each other ( $l=\frac{36}{w}$ or $w=\frac{36}{l}$ )

Step-by-step explanation:

Let

l units = length of the rectangle,

w units = width of the rectangle.

The area of the rectangle is

$\text{Area}=\text{Length}\cdot \text{Width}$

A rectangle has an area of 36 square units, so

$l\cdot w=36$

Complete the table with some values of l and w that fit the previous formula:

$\begin{array}{ccc}\text{Length}&\text{Width}&\text{Area}\\ \\36&1&36\cdot 1=36\ un^2.\\18&2&18\cdot 2=36 \ un^2.\\12&3&12\cdot 3=36\ un^2.\\ 9&4&9\cdot 4=36\ un^2.\\l&w&l\cdot w=36 \ un^2.\end{array}$

As you can see, the length and the width are inversely proportional to each other ( $l=\frac{36}{w}$ or $w=\frac{36}{l}$ )

4 0

4 years ago