All categories

3 years ago

What is the measure of the base in the triangle shown below? A. 11 B. 45 C. 25 D. 30

Mathematics

1 answer:

dangina [55]3 years ago

5 0

Answer:

c. 25

Step-by-step explanation:

BOTH SIDES HAVE X SO YOU PUT THEM IN A 1 EQUATION WAY AND SOLVE X:

4X+1=2X+23

4X-2X=23-1

2X=32

X= 32/2=11

THEN YOU GO TO THE BASE AND CHANGE X AND SOLVE THE EQUATION WITH X=11

3x11-8

33-8= 25=BASE

You might be interested in

Complete the square to rewrite the quadratic in vertex form: x2 + 6x + 15

topjm [15]

Answer: 8x+15

Step-by-step explanation:

7 0

2 years ago

Sales of a new line of athletic footwear are crucial to the success of a company. The company wishes to estimate the average wee

MariettaO [177]

Answer:

188 weeks of data must be sampled.

Step-by-step explanation:

From the information given, we can deduce that:

The Margin of error is within = 200

The confidence interval = 95%

The level of significance = 1 - C.I

= 1 - 0.95

= 0.05

The standard deviation = 1400

The number of weeks the data must be sampled can be determined by using the formula for sample size which is:

$n =( \dfrac{Z_{\alpha/2} \times \sigma}{E} )^2$

$n =( \dfrac{Z_{0.05/2} \times 1400}{200} )^2$

$n =( \dfrac{1.96 \times 1400}{200} )^2$

$n =( \dfrac{2744}{200} )^2$

$n =( 13.72)^2$

n = 188.24

n ≅ 188

Thus, 188 weeks of data must be sampled.

6 0

2 years ago

The Bainter family is moving to a new town and needs a place to live. The Bainters are considering renting or purchasing a home

OlgaM077 [116]

The total first-year cost when purchasing the home is <u>a) 37,041.84.</u>

<h3>What is a mortgage cost?</h3>

The mortgage cost includes the principal, interest, taxes, and insurance costs.

While the principal repayment pays down the outstanding mortgage loan, the interest is the borrowing or finance cost.

The interest amount depends on the interest rate and the mortgage loan balance.

<h3>Data and Calculations:</h3>

List price = $150,000

Down payment = $30,000

Mortgage loan = $120,000 ($150,000 - $30,000)

Mortgage period = 30 years

Interest rate = 4.2%

Annual mortgage payment = $7,041.84 (determined using an online finance calculator as follows)

First-year cost for purchasing the home = $37,041.84 ($7,041.84 + $30,000)

Home Price = $150,000

Down Payment = $30,000

Loan Term = 30 years

Interest Rate = 4.2%

<u>Results:</u>

Monthly Pay: $586.82

Annual payment = $7,041.84 ($586.82 x 12)

House Price $150,000.00

Loan Amount $120,000.00

Down Payment $30,000.00

Total of 360 Mortgage Payments $211,255.42

Total Interest $91,255.42

Mortgage Payoff Date Jun. 2052

<h3>Question Completion:</h3>

The home for sale is listed at $150,000.00. They have $30,000.00 for a down payment and are qualified for a fixed-rate 30-year mortgage with an annual interest rate of 4.2%. • The rental home is currently 8900.00 per month, with rent expected to increase by approximately $75.00 every year.

Thus, the total first-year cost when purchasing the home is <u>a) 37,041.84.</u>

Learn more about mortgage costs at brainly.com/question/22846480

#SPJ1

6 0

2 years ago

What is the area of the trapezoid?

DENIUS [597]

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 440 ft^2

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

7 0

2 years ago

Read 2 more answers

How many vertices does a sphere have?

Vinvika [58]

Hello, a sphere has zero vertices.

5 0

3 years ago