Trevon bought one package of blueberries for $3. How many packages can Elisa buy if she has $63

Step-by-step explanation:

triangle BCD ~ triangle EFD so

angle BCD= angle EFD

9x+2=15x-52

6x=54

x=9

angle CBF =9x+2=83°

In the triangle ΔCBD, the angle measure of ∠CBF is 83°.

When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.

Given:

The angle measures,

∠CBD = (9x + 2)°

∠EFD = (15x -52)°

From the diagram,

ΔCBD is similar to ΔEFD.

So, the corresponding angles are equal.

∠CBD = ∠EFD

(9x + 2)° = (15x -52)°

15x - 9x = 52 + 2

6x = 54

x = 9°

And ∠CBF = ∠CBD

So, ∠CBF = (9x + 2)°

Substituting the value of x,

∠CBF = (9(9) + 2)°

∠CBF = 83°

Therefore, the angle measure of ∠CBF is 83°.

To learn more about the similar triangles;

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Answer:

B

Step-by-step explanation:

Probabilities are used to determine the chance of events

The probability that she did NOT choose a boy either time is 1/3

The given parameters are given as:

[tex]\mathbf{n = 10}[/tex] --- total number of students

[tex]\mathbf{Boys = 4}[/tex] --- total number of boys

[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls

If she did not choose a boy in either selection, then it means that both selections are girls.

So, the probability is calculated using:

[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]

The selection is without replacement.

So, we have:

[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]

Substitute known values

[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]

[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]

Simplify

[tex]\mathbf{P = \frac{1}{3}}[/tex]

Hence, the probability is 1/3

Read more about probabilities at:

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Answer: the answer is d

Step-by-step explanation:

Answer:

For some reason i couldn't add an answer, but it 8.80 because 9 was rounded to 10 and changed the 7 to 8.

Step-by-step explanation:

Answer:

she would get 11 dollars back

Step-by-step explanation:

look....first count all the money together 5 + 3 + 1 = 9............Then subtract 9 from 20 and there u go

The number of days it would take 15 people to complete the task is 9.1 days.

The formula used to represent inverse proportion is:

y = [tex]\frac{k}{x}[/tex]

The information given in the question can be represented with:

2 = k/10

k = 20

The number of weeks it would take 15 people to complete the same task:

20 / 15 = 1.3 weeks = 9.1 days

A similar question was answered here: https://brainly.com/question/19427172

Step-by-step explanation:

When you get negative it is ok.

It means you have a discount here, not really increase but decrease in price.

Here you have:

It is called 60% mark down or 60% discount

4.b.

Answer:  See below.

Step-by-step explanation:

3.a.  f(6) means use x = 6 in the equation f(x) = 2x

so f(6) would be f(6)= 2(6)

f(6) = 12

3.b.  f(-11) = 2(-11)

f(-11) = -22

3.c.  f(2.75) = 2(2.75)

f(2.75) = 5.5

3.d.  This is turned around.  We are told f(x)=20, so what would x need to be for f(x) to be 20?  Since f(x) = 2x, we can say 20 = 2x.  Therefore x = 10

f(10) = 20

The rest of (3) are solved in the same fasion.h

4.a.  f(7) = 5(7)+50

f(7) = 85

4.b. f(-12)

  f(-12) = 5*(-12)+50

f(-12) = -60

Continue in the same fashion for these types of problems.

Translation of 10 units left and 8 units down

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

Explanation:

Always start with the preimage. Let's say we focus on point A located at (3,6). Its corresponding point is A' located at (-7,-2). To go from (3,6) to (-7,-2), we move 10 units to the left and 8 units down.

The motion "10 units to the left" means we subtract 10 from the x coordinate. The "8 units down" part means we subtract 8 from the y coordinate.

Overall, the translation rule is [tex](x,y) \to (x-10,y-8)[/tex]

If we applied that rule to A(3,6), then...

[tex](x,y) \to (x-10,y-8)\\\\(3,6) \to (3-10,6-8)\\\\(3,6) \to (-7,-2)\\\\[/tex]

which is what the diagram shows going from A to A'

Let's do the same for point B(3,1)

[tex](x,y) \to (x-10,y-8)\\\\(3,1) \to (3-10,1-8)\\\\(3,1) \to (-7,-7)\\\\[/tex]

This indicates B(3,1) moves to B ' (-7,-7) which is what the diagram shows. I'll let you confirm that C(6,6) moves to C ' (-4,-2) using that translation rule.

Answer:

Yes, based on ASA or AAS

Step-by-step explanation:

Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.

180-63= 117- 45=72

The triangles are equal/congruent because two angles and a side are the same values on both triangles.

Answer:

2267.25

Step-by-step explanation:

add that fisrt one

Answer:

Step-by-step explanation:

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

Answer:

the correct answer is -5 since y=7

Answer:

Stored energy

Step-by-step explanation:

Answer:

the drawing would be 46 inches

Answer:

158.732829

rounded up: 159

Step-by-step explanation:

trust the calculator

Answer:

hope it helps.

stay safe healthy and happy.

Answer:

~corresponding angles

~congruent

~7x-10=6x so x=10

~60⁰ and 60⁰

Answer:

0.62 < 5/8 < 0.71 < 0.8

That’s it in ascending order

0.8 > 0.71 > 5/8 > 0.62

That’s it in descending order

Step-by-step explanation:

Answer:

62%, 5/8, 0.71, 0.8

Step-by-step explanation:

62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8

Answer:

y = x + 3

Step-by-step explanation:

Given: (6,9)  (14, 17)

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{17-9}{14-6}=\frac{8}{8}=1[/tex]

slope, m = 1

Equation of line ⇒ y=mx+b

y = 9 , x = 6 , m = 1, b = ?

9 = 1*6 + b

9 = 6 + b

b = 9 - 6 = 3

Therefore, the equation of line will be:

y = 1x + 3

y = x + 3

Answer:

See below:

Step-by-step explanation:

So, the first step to solving the problem is to find out what type of triangle it is

and what rule of goemetry we can use to solve it.

Finding What Theorem We Can Use

So, the first step is to figure out what theorem we can use to solve the problem and how they can help us. By looking at it, we can see that it is an Isosceles Triangle due to the two sides being equal and 1 side not being equal.

One Theorem used on the Isosceles Triangle is the Base Angles Theorem. This states that the bottom two angles of the sides on the Isosceles triangle are equal to each other. So in this case if we letter the triangle A on the top, B as the Left, and C as the right. It would say this:

[tex]<ABC= <ACB[/tex]

Since we know this rule, we can solve for the equation.

Solving

We can solve for this by using two things that we know:

+ Sum of all angles in a triangle is 180 degrees.

+ Bottom two sides are congruent.

Since we know that, we can solve for the answer:

[tex]1) <ABC + <BAC+<BCA=180\\2) <BAC = 80\\3) <ABC + <BCA=100\\4) 2<ABC=100\\5)<ABC=<BCA=50[/tex]

After solving, we know that x is 50 degrees!

Cheers!

(Feel free to comment a question if you didn't understand something!)

Answer:

Step-by-step explanation:

Tan (theta) = opposite / adjacent

theta = 60 degrees

opposite = 15

adjacent = opposite / Tan(theta)

adjacent = 15 / tan(60)

tan(60) = sqrt(3)

sqrt(3) =  1.732

adjacent = 15 /1.732

answer: adjacent = 8.6603

Answer:

Step-by-step explanation:

There is a relationship between number of sides and interior angle measure of regular polygons:

We have now:

It's equilateral polygon

n is no of sides

[tex]\\ \sf\longmapsto (2n-4)90=176n[/tex]

[tex]\\ \sf\longmapsto 180n-360=176n[/tex]

[tex]\\ \sf\longmapsto 180n-176n=360[/tex]

[tex]\\ \sf\longmapsto 4n=360[/tex]

[tex]\\ \sf\longmapsto n=4[/tex]

Answer:

I believe its 42.5 or 42500

Step-by-step explanation:

if its not right im so so so so sorry