State if the two triangles are congruent. If they are, state how you know. (AAS, ASA, SAS, SSS, or HL)

The check-cashing store also makes one-month add-on interest loans at 7.8 percent discount interest per week. Thus if you borrow

masya89 [10]

Answer:

APR = 416%

EAR = 5370.60%

Step-by-step explanation:

Given:

Interest rate = 7.8% per week

Now,

In an year there are total 52 weeks

thus,

The APR (Annual percentage rate) = Interest rate × Total weeks in an year

or

APR = 8% × 52

or

APR = 416%

and, EAR ( Effective Annual Rate ) = ( 1 + r )ⁿ - 1

Here,

r is the interest rate per week

n is the total weeks in an year

thus,

EAR ( Effective Annual Rate ) = ( 1 + 8% )⁵² - 1

= ( 1 + 0.08 )⁵² - 1

= 53.7060

or

53.7060 × 100% = 5370.60%

5 0

3 years ago

A triangle has side lengths measuring 2x + 2 ft x + 3 ft, and

Marta_Voda [28]

Answer:

$3x+5 < n < x-1$

Step-by-step explanation:

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the Triangle Inequality Theorem

1) $(2x+2)+(x+3) > n$

solve for n

$3x+5> n$

Rewrite

$n$

2) $(x+3)+n> 2x+2$

$n> x-1$

therefore

$3x+5 < n < x-1$

5 0

3 years ago

Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = ?16t + 160t + 12

insens350 [35]

Answer:

The time taken for the flare to hit the ground is approximately 10.7 seconds.

Step-by-step explanation:

Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

To find : How long will it take for the flare to hit the ground?

Solution :

The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

The flare to hit the ground when h=0.

Substitute in the equation,

$-16t^2+ 160t + 120=0$

Applying quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where, a=-16, b=160 and c=120

$x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}$

$x=\frac{-160\pm\sqrt{33280}}{-32}$

$x=\frac{-160\pm 182.42}{-32}$

$x=\frac{-160+182.42}{-32},\frac{-160-182.42}{-32}$

$x=−0.70,10.70$

Reject the negative value.

Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.

4 0

3 years ago

Posting a screenshot.

Anna71 [15]

Since 6 is positive, it's (x+blank)^2

6/2=3, and (x+3)^2 = x^2+6x+9. We have x^2+6x-2, so we have to add 9 to both sides to get (x+3)^2-2=9, then subtract 9 from both sides to get
(x+3)^2-11=0, or (x+3)^2=11. Square root both sides to get x+3=sqrt(11), and x=sqrt(11)-3, which is approximately 0.32

8 0

3 years ago

NEED HELP!

Citrus2011 [14]

Answer:

Michelle, because she was only 5 off, while Jae was 8 off

8 0

3 years ago

State if the two triangles are congruent. If they are, state how you know. (AAS, ASA, SAS, SSS, or HL)​

State if the two triangles are congruent. If they are, state how you know. (AAS, ASA, SAS, SSS, or HL)