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Bogdan [553]
3 years ago
13

How to do this question plz answer me step by step plzz ​

Mathematics
1 answer:
finlep [7]3 years ago
7 0

Answer:

30, 85, 95, 150

Step-by-step explanation:

The angles of a quadrilateral add to 360

Let x be the smallest angle

x+55

x+65

x+120 are the other three angles

Add the 4 angles together and they sum to 360

x+x+55 x+65+ x+120 = 360

Combine like terms

4x+240 = 360

Subtract 240 from each side

4x+240-240 = 360 -240

4x = 120

Divide by 4

4x/4 = 120/4

x = 30

x+55= 30+55 = 85

x+65 = 30+65 = 95

x+120 = 30+120 = 150

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Maya deposits $5000 into a checking account that pays 0.75% annual interest compounded monthly. What will be the balance after 8
Nana76 [90]

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 0.75\%\to \frac{0.75}{100}\dotfill &0.0075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &8 \end{cases} \\\\\\ A=5000\left(1+\frac{0.0075}{12}\right)^{12\cdot 8}\implies A=5000(1.000625)^{96}\implies A\approx 5309.08

5 0
2 years ago
When does it reach maximum height?<br><br> H(t)=-16t^2+112t+288
ivolga24 [154]

Answer:

484 feet  maximum

Step-by-step explanation:

H(t)=-16t^2+112t+288

The maximum height occurs at the vertex of this graph.  

Let us find the vertex.

vertex x-coordinate = -b/2a

x =  -b/2a = -(112)/ (2*-16) =  7/2 sec.

H(7/2) = - 16 *(7/2)^2 + 112*(7/2) +  288

H(7/2) = -196 + 392 + 288 = 484 feet ..

5 0
3 years ago
20 divided by 2 (5 5)=
Anni [7]
20 ÷ 2 (5,5)
20 ÷ 2 (25)
20 ÷ 50
.4
8 0
3 years ago
What is the silk road? What happened on it? Don't copy and paste pleased In your own words pleased NO LINKS NO FILES pleased.
nevsk [136]

Answer:

The silk road was a trading route and some stuff that happened on it was trading, robbings. Some stuff that was traded was gold and silk

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Can you help me with this question I rlly need it rn and please use the options it gives you thank you&lt;3
Jet001 [13]

Answer:  Choice C

Closed filled in circle at -3; shading to the right.

========================================================

Explanation:

Follow the steps shown below to isolate x. Note that the inequality sign flips when we divide both sides by a negative number.

-4x+8 \le 20\\\\-4x \le 20-8\\\\-4x \le 12\\\\x \ge 12/(-4)\\\\x \ge -3\\\\

Here's another way to isolate x

-4x+8 \le 20\\\\8 \le 20+4x\\\\4x+20 \ge 8\\\\4x \ge 8-20\\\\4x \ge -12\\\\x \ge -12/4\\\\x \ge -3\\\\

The inequality sign flip happens much earlier when we go from the format of A \le B to B \ge A  (in step 3)

The graph of this will have a closed filled in circle at -3, then shading to the right to describe all values -3 or larger.

This is why we go for choice C.

8 0
2 years ago
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