All categories

3 years ago

The sum of the measures of the angles of a quadrilateral is 360°. Quadrilateral JKLM has one

Mathematics

1 answer:

lana66690 [7]3 years ago

4 0

Answer:

82 degrees.

Step-by-step explanation:

You might be interested in

5. How many pairs of parallel sides does the trapezoid below have?

fredd [130]

Answer: 2

Step-by-step explanation:

5 0

3 years ago

Sue has an annual interest income of $3390 from two investments. She has $10,000 more invested at 8% than she has at 6%. Find th

olchik [2.2K]

Answer:

$18500 at 6% and $28500 at 8%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then x+10000 is the amount invested at 8%. The total income from the two investments is the sum of the products of the amount invested and the interest rate:

x·6% +(x+10000)·8% = 3390

0.14x + 800 = 3390 . . . . . . . . collect terms

0.14x = 2590 . . . . . . . . . . . . . .subtract 800

2590/0.14 = x = 18500 . . . . . divide by the coefficient of x

Sue has invested $18500 at 6% and $28500 at 8%.

7 0

3 years ago

Evaluate: 20 Σ 4(8/9)^n-1 = [?] 1 Round to the nearest hundredth.

lianna [129]

Answer:

32.59 (nearest hundredth)

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: $a_n=ar^{n-1}$

(where a is the first term and r is the common ratio)

Given:

$\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}$

Therefore:

a = 4
r = 8/9

Sum of the first n terms of a geometric series:

$S_n=\dfrac{a(1-r^n)}{1-r}$

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

$\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}$

$\implies S_{20}=32.58609013...$

$\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)$

7 0

2 years ago

Read 2 more answers

How many modes, if any, does the group of data have?

Olin [163]

Answer:

5.338401847392900e1395%377846Q9

Step-by-step explanation:

4 0

3 years ago

Can I pls get help on this question

ale4655 [162]

Answer:

Yes

Step-by-step explanation:

I had this exact question.

4 0

3 years ago