Two sides and the included angle of one triangle are congruent to two sides and the included angle in a second triangle, then the two triangles are congruent.

4 0

2 years ago

Use proportion to find the whole 75 is 15% of what number

Iteru [2.4K]

Answer:

500

Step-by-step explanation:

15% * x = 75

(15/100) * x = 75 Multiply both sides by 100/15

(15/100)*(100/15) = 75 * 100/15

x = 7500/15

x = 500

Answer 500

Proportion

15/100 = 75 / x Cross multiply

15x = 100*75 Combine the right

15x = 7500 Divide 15

15x/15 = 7500/15

x = 500

3 0

3 years ago

Read 2 more answers

The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate

ella [17]

Interest paid after 30 years is $494,546.99.

Solution:

Principal (P) = $195,000

Interest rate (r) = 4.3%

Time (t) = 30 years

n = number of times interest calculated per year

n = 1

Compound interest formula:

$$A=P\left(1+\frac{r}{n}\right)^{n t}$

where A is the final amount

$$A=195000\left(1+\frac{4.3\%}{1}\right)^{1\times 30}$

$$A=195000\left(1+\frac{4.3}{100}\right)^{30}$

$$A=195000\left(\frac{100+4.3}{100}\right)^{30}$

$$A=195000\left(\frac{104.3}{100}\right)^{30}$

A = 689546.99

Interest = Amount - Principal

= 689546.99 - 195000

= 494546.99

Interest paid after 30 years is $494,546.99.

6 0

3 years ago

The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 269 day

fenix001 [56]

Answer:

a) 279 b)254

Step-by-step explanation:

Mean = 269 days

standard deviation = 8 days

let n be the pregnancy lenght.

using normal distribution formula

z = (n – mean)/ standard deviation

n = z * standard deviation + mean

Now, z values for the top 12% has to be found using a z table.

The top 12% means 88% of area under the curve. In this case z = 1,176

n = 1,176 * 8 + 269

n = 278.4 = 279

The bottom 3% means 97% of area under the curve. In this case z = -1,882

n = -1,882 * 8 + 269

n = 253.94 = 254

6 0

3 years ago