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marta [7]
3 years ago
12

Find the values if x and y

Mathematics
1 answer:
SOVA2 [1]3 years ago
5 0

Note that: (10x - 61) & (x + 10) are supplementary angles, and (10x-61) & (18y + 5) are vertical angles

10x - 61 + x + 10 = 180

Simplify

11x - 51 = 180

Isolate the x

11x - 51 (+51) = 180 (+51)

11x = 231

Divide 11 from both sides

11x/11 = 231/11

Divide

x = 21

180 = 18y + 5 + x + 10

180 = 18y + 5 + (21) + 10

Simplify

180 = 18y + 36

Subtract 36 from both sides

180 (-36) = 18y + 36 (-36)

144 = 18y

Divide 18 from both sides

144/18 = 18y/18

y = 144/18

y = 8

x = 21, y = 8 are your answers

hope this helps


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Find the sum of the first 7 terms of the following series, to the nearest integer.
Virty [35]

Answer:

r = 2.5 \\ sum =  \frac{a( {r}^{n - 1} )}{r - 1}  \\  =  \frac{125( {2.5}^{7 - 1} )}{7 - 1}  \\  =  \frac{30517.6}{6}  \\  = 5086.3

5 0
3 years ago
Solve h = −16t2 + 36t + 4.
kvasek [131]
I can do each of the things I asked above.
So, let's change this into vertex form:
h=-16t^2+36t+4
h=(-16t^2+36t)+4
h=-16(t^2-2.25t)+4
h=-16(t^2-2.25t+1.27-1.27)+4
h=-16(t^2-2.25t+1.27)+20.32+4
h=-16(t-1.125)^2+24.32
The vertex is at (1.125,24.32)
<span>Answers may vary due to rounding

</span>Factored Form:
h = -16t^2 + 36t + 4
h = -4\left(4t^2-9t-1\right)

Quadratic Formula:
x =  \frac{-b +/- \sqrt{b^2-4(a)(c)}}{2a}
<span>h = -16t^2 + 36t + 4
</span>a = -16 b = 36 c = 4
h = \frac{-(36) +/- \sqrt{(36)^2-4(-16)(4)}}{2(-16)}
h = \frac{-36 +/- \sqrt{1552}}{-32}
h = ≈-0.11
h = ≈2.36

5 0
3 years ago
T is a point inside parallelogram ABCD. The area of ΔTAB = 11, the area of ΔTBC = 4, and the area of ΔTCD = 6. Find the area of
antoniya [11.8K]

wrong question

the ∆TAC is not the triangle

5 0
3 years ago
6. Sammi spun a spinner with 5 equal parts labeled 1-5. If she spins the spinner 20 times, how many times should she expect to s
Tasya [4]

Answer:

Step-by-step explanation:

There is a 1/5 chance she spins a 1. (1/5 = 20% = 0.2)

She spins 20 times:

20 * 0.2 = 4

So she should expect getting 4 twos.

If there was anything that you didn't understand, just comment your question below this answer!

Have a good day! (●'◡'●)

6 0
3 years ago
A train is 300 meters long. A tunnel is 2900 meters long. The train travels at 600 meters per min. How long is the time between
sattari [20]

ANSWER: 5 minutes 20 seconds

WORK: entire train to get out of tunnel - 2900+300 = 3200 meters till it's out

at 600 meters per minute ...3200/600 = 5 1/3 = 1/3 of a minutes is 20 seconds

Hope this helps brainliest and rate/thanks helps!

8 0
3 years ago
Read 2 more answers
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