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Ad libitum [116K]
3 years ago
11

What is the measure of ∠SPQ in this rhombus?

Mathematics
2 answers:
Gemiola [76]3 years ago
5 0
Ok so all you have to do is set SPR and QPR equal like this
4x+11=5x-4
and solve to get x=15
then substitute in 15 for x in both equations
4(15)+11 and 5(15)-4
both =71 and add them up to get SPQ=142.
Serga [27]3 years ago
3 0

Answer:

Confirmation to Ziexlie's answer! Thank you!!

Step-by-step explanation:

Look at the pic :)))

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Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
MissTica
So hmm the first term is -2

and if we divide one term by the term before it, we'd get the "common ratio" "r"

so hmm say -32/8 that gives us -4, so r = -4

thus \bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1r^{n-1}\qquad 
\begin{cases}
a_1=\textit{first term}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=-4
\end{cases}\implies a_n=-2(-4)^{n-1}
6 0
4 years ago
Use a distributive property to remove the parentheses -9(2v-u-3)
jeka57 [31]
-9(2v-u-3)
-18v+9u+27
4 0
3 years ago
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Determine how much money you will have after 20 years if you invest 20,000$ at 8%, compounded continuously?
Westkost [7]
20 000 * 0.08(8%)= 1600
1600 * 20(years) = 32 000

Therefore you would have $32 000 after 20 years
8 0
3 years ago
Read 2 more answers
15x^2 + 41x + 28 <br><br>STEP BY STEP ANSWER PLSSS​
maria [59]

Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

7 0
3 years ago
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Jay King, owner of a local Bed and Bath Store knows that his customers will only pay at most, $299 for a blow up bed. Assuming J
Roman55 [17]
If you would like to know the price Jay can pay the manufacturer for the blow up bed, you can calculate this using the following steps:

100% + 40% = 140%

140% of x is $299
140% * x = 299
140/100 * x = 299      /*100/140
x = 299 * 100 / 140
x = $213.6

40% of $213.6 = 40% * 213.6 = 40/100 * 213.6 = 85.44
$213.6 + $85.44 = $299

The correct result would be $213.6.
6 0
3 years ago
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