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Ganezh [65]
3 years ago
10

If two dice are rolled what is the probability of getting a sum of 8 or a 4 on the first die​

Mathematics
1 answer:
BartSMP [9]3 years ago
7 0

12

12 \div 2

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The measure of the supplement of an angle is seven times as large as the measure of its complement find the measure of the angle
8090 [49]

Answer: original angle = 75°

Its supplement 105°

Its complement = 15°

Step-by-step explanation:

We know that,

  • Sum of supplementary angles is 180 degrees.
  • Sum of complementary angles is 90 degrees.

Let x be the original angle , then its supplement = 180° - x

its complement = 90° - x

As per given,

180° - x = 7(90° - x)

⇒ 180° - x = 630° - 7x

⇒  7x- x = 630° -180°

⇒  6 x = 450°

⇒  x = 75°  [divide both sides by 6]

So, original angle = 75°

Its supplement =  180° - 75° = 105°

Its complement = 90° -75° = 15°

Hence,  original angle = 75°

Its supplement 105°

Its complement = 15°

4 0
3 years ago
What is the area of the triangle below? Please explain too.
Neko [114]

Answer:

144 ft^2

Step-by-step explanation:

property of 45-45-90 triangle: side lengths are 12rt2

12rt2*12rt2/2=144

5 0
3 years ago
What is the arc measure of BDC in degrees?<br> (4k + 159)<br> P<br> (2k + 153)
andre [41]
<h2>Explanation:</h2><h2></h2>

The diagram is missing but I'll assume that the arc BDC is:

(4k + 159)^{\circ}

And another arc, let's call it FGH. measures:

(2k + 153)^{\circ}

If those arc are equal, then this equation is true:

(4k + 159)^{\circ}=(2k + 153)^{\circ} \\ \\ (4k + 159)=(2k + 153) \\ \\ \\ Solving \ for \ k: \\ \\ 4k-2k=153-159 \\ \\ 2k=-6 \\ \\ k=-\frac{6}{2} \\ \\ k=-3

Substituting k into the first equation:

\angle BDC=(4(-3)+159)^{\circ} \\ \\ \angle BDC=(-12+159)^{\circ} \\ \\ \boxed{\angle BDC=147^{\circ}}

3 0
3 years ago
Read 2 more answers
Write the equation of the line in fully simplified slope-intercept form.
mixer [17]

Answer:

y=1/2x+6

Step-by-step explanation:

3 0
3 years ago
a long year-end status report for work is 134 pages long. you need to print 13 copies for a meeting next week. How much is the p
NNADVOKAT [17]

one paper sheet = 500 / 305 cents

134 * 13 = 1742

500 / 305 = 1.64 cents

1.64 * 1742 = $28.55

3 0
2 years ago
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