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tekilochka [14]

2 years ago

7

△ABC is similar to △XYZ . Also, angle A measures 45° and angle C measures 60°. What is the measure of angle Y? Show all your cal

culations!

2 answers:

Mila [183]2 years ago

3 0

<span>75Â° Since â–łABC is similar to â–łXYZ, that means that angle A equals angle X, angle B equals angle Y, and angle C equals angle Z. So let's look at the data we have. Angle A measures 45Â° and angle C measures 60Â°. That means that angle B measures 180Â° - 45Â° - 60Â° = 75Â° since all triangles have 180Â° and we've been told the measurement of two of the angles. And since angle Y is equal to angle B (which we just calculated), that means that angle Y is also equal to 75Â°</span>

kifflom [539]2 years ago

3 0

Answer:

Just took the test and got it right :)))

Step-by-step explanation:

Look at the image down below!!

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A population of rabbits is described by the function R(t) = 100(2t/5), where t is measured in months and R is measured in rabbit

Savatey [412]

Answer and Step-by-step explanation: The graph is shown in the attachment.

a. ΔR on [1,2] is mathematically expressed as:

ΔR = R(2) - R(1)

which means difference of population of rabbits after 2 months and after 1 month.

$R(1) = 100(\frac{2}{5}.1 )$

$R(1) = 100(\frac{2}{5} )$

R(2) = $100(\frac{2}{5}.2 )$

$R(2) = 100(\frac{4}{5} )$

$\Delta R = 100(\frac{4}{5} )-100(\frac{2}{5} )$

$\Delta R = 100[\frac{4}{5} - \frac{2}{5} ]$

$\Delta R=$ 40

Difference of rabbits between first and second months is 40.

b. R(0) = 100( $\frac{2}{5} .0$ )

R(0) = 0

Initially, there no rabbits in the population.

c. R(10) = $100(\frac{2}{5}.10 )$

R(10) = 400

In 10 months, there will be 400 rabbits.

d. R(t) = 500

$500=100(\frac{2}{5}.t )$

$\frac{500}{100}=\frac{2}{5}.t$

$t = \frac{500.5}{100.2}$

t = 12.5

In 12 and half months, population of rabbits will be 500.

3 0

2 years ago

Let us have four distinct collinear points $a,$ $b,$ $c,$ and $d$ on the cartesian plane. the point $c$ is such that $\dfrac{ab}

Deffense [45]

Start with a line segment connecting two points, A and B. $\dfrac{DA}{BA}=3$ means DA is 3 times longer than BA. Clearly, D cannot fall between A and B because that would mean DA is shorter than BA. So there are two possible locations where D can be placed on the line relative to A and B.

But with $\dfrac{DB}{BA}=2$ , or the fact that DB is 2 times longer than BA, we can rule out one of these positions; referring to the attachment, if we place D to the left of A, then DB would be 4 times longer than BA.

Finally, $\dfrac{AB}{CB}=\dfrac12$ , so that CB is 2 times longer than AB. Again we have two possible locations for point C (it cannot fall between A and B), but one of them forces C to occupy the same point as D. However, A, B, C, D are distinct, so C must fall to the left of A.

Now let $d$ be the length of AB. Then the length of CD in terms of $d$ is $4d$ . We have the coordinates of C and D, and the distance between them is $\sqrt{(4-0)^2+(0-4)^2}=4\sqrt2$ . So

$4d=4\sqrt2\implies d=\sqrt2$

The slope of the line through C and D is

$\dfrac{0-4}{4-0}=-1$

and so the equation of the line through these points is

$y-4=-(x-0)\implies x+y=4$

So the coordinates of A are $(x,y)=(x,4-x)$ . The distance between C and A is $d=\sqrt2$ , so we have

$\sqrt{(x-0)^2+(4-x-4)^2}=\sqrt{2x^2}=|x|\sqrt2=\sqrt2\implies|x|=1$

Since A falls to the right of C (in the $x,y$ plane, not just in the sketch), we know to take the positive value $x=1$ . Then the $y$ coordinate is $y=4-1=3$ .

All this to say that A is the point (1, 3), so

$2x+y=2+3=5$

5 0

3 years ago

Steve has received $200 in the form of a dividend. What type of income is this.

blagie [28]

Answer:

passive income

Step-by-step explanation:

5 0

2 years ago

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If is valid : a ²- b ² = 117 and a - b = 3, then what is the value of the expression a + b ?

juin [17]

Answer:

d is the correct answer from give questions

7 0

3 years ago

HELP If 90 containers of candy hearts cost $2.70, what is the constant of proportionality

erma4kov [3.2K]

Answer: 0.03$ per container or 3 cents per container.

Step-by-step explanation: 2.70/90=0.03.

5 0

2 years ago

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