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3 years ago

Find m<DCV and m<VBD

Mathematics

1 answer:

max2010maxim [7]3 years ago

5 0

9514 1404 393

Answer:

m∠DCV = 50°
m∠VBD = 50°

Step-by-step explanation:

Arc DV is 100°, so any inscribed angle that intercepts that arc will have a measure that is half of 100°, or 50°.

Inscribed angles DCV and VBD both intercept arc DV, so both are 50°.

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Gary surveys all of his classmates for a project.

postnew [5]

Answer:

A and D

Step-by-step explanation:

Statisical questions have to deal with numbers

B is age

C is year

E is a flavor of ice cream

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3 years ago

Read 2 more answers

Let f(x)= x^2-4x-c. Find a nonzero value of c such that f(c)=c.

Dimas [21]

Answer:

The nonzero value of c will be:

$c = 6$

Step-by-step explanation:

Given the function

$f\left(x\right)=\:x^2-4x-c$

$f\left(c\right)=\:c^2-4c-c$

$f(c) = c$

$c=\:c^2-4c-c$

switching the sides

$c^2-4c-c=c$

subtract c from both sides

$c^2-4c-c-c=c-c$

$c^2-6c=0$

$c\left(c-6\right)=0$

Using the zero factor principle

$\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$c=0\quad \mathrm{or}\quad \:c-6=0$

so, the solutions to the quadratic equations are:

$c=0,\:c=6$

Therefore, a nonzero value of c will be:

$c = 6$

5 0

3 years ago

A local gym offers a trial membership for 3 months. It discounts the regular monthly fee x by $25. If the total cost of the tria

kati45 [8]

3(x - 25) < $100. We're not req'd to solve this.

8 0

3 years ago

At a local movie theatre, sodas cost $4.50 and bags of popcorn cost $1.50. Kirk buys three times as many bags of popcorn as soda

BigorU [14]

Based on the calculations, Kirk bought 2.4 bags of popcorn and 7.2 sodas.

Let the number of sodas bought be s.

Let the number of bags of popcorn be p.

<u>Given the following data:</u>

Cost of soda = $4.50.

Cost of popcorn = $1.50.

Total price = $36.

a. To write a system of equations that models this scenario:

<h3>What is a system of equations?</h3>

A system of equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

<h3>For the soda and popcorn:</h3>

$4.5s+1.5p=36$ ...equation 1.

Translating the word problem into an algebraic expression, we have;

Three times as many bags of popcorn as sodas:

$3p=s$ ...equation 2.

b. To determine how many of each item Kirk bought:

Substituting eqn. 2 into eqn. 1, we have:

$4.5(3p)+1.5p=36\\\\13.5p+1.5p=36\\\\15p=36\\\\p=\frac{36}{15}$

p = 2.4 bags of popcorn

$s=3p\\
\\
s=3 \times 2.4$

s = 7.2 sodas.

Read more on word problems here: brainly.com/question/13170908

5 0

2 years ago

11) A 12-sided dic is rolled. What is the probability of getting a multiple of 3 or a number less than 3?

dmitriy555 [2]

Answer:

6/12

1/2

Step-by-step explanation:

First, we need to find how many multiples of three there are, and how many numbers less than three there are on a 12 sided die.

Multiples of 3: 3, 6, 9 ,12

Less than 3: 2, 1

When calculating the probability of rolling a number, the actual number is arbitrary- instead, you need to know how many of numbers exist to fit the requirements. In this case, it's 6 total. Since there's 12 possibilities on a 12 sided die, the probability would be 6 out of 12. You could also simplify the fraction, but both are equivalent.

I hope this helps!

8 0

3 years ago

Find m<DCV and m<VBD​

Find m<DCV and m<VBD