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3 years ago

Find the value of x (6x + 7)° (8x - 17)°

Mathematics

1 answer:

Vlad [161]3 years ago

6 0

<h3>Answer: x = 12</h3>

Explanation:

The two angles shown are vertical angles. This occurs whenever you have an X shape like this, and whenever the angles are opposite one another. Vertical angles are always congruent.

6x+7 = 8x-17

6x-8x = -17-7

-2x = -24

x = -24/(-2)

x = 12

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Find the measurement of Angle SPQ

Harrizon [31]

Answer:

146 °

Step-by-step explanation:

sum of angles in circle = 360°

360 - 154-60-86 = 60

60 = UPS

SPQ = UPS + QUP = 60 + 86 = 146°

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3 years ago

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Resuelve el siguiente problema un buzo en una laguna decendio 8m en una hora.Si cada hora bojo la misma cantidad de metros, ¿cua

S_A_V [24]

Answer:

X = 32 meters.

Step-by-step explanation:

Let the unknown distance be X.

<u>Given the following data;</u>

Distance = 8 meters per hour
Time = 4 hours

To find how many meters he would cover in four hours;

1 hour = 8 meters

4 hours = X meters

Cross-multiplying, we have;

X = 8 * 4

<em>X = 32 meters.</em>

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3 years ago

The sample space of a random experiment is {a, b, c, d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2 respectively. Let A de

antoniya [11.8K]

Answer:

a) $P(A) =P(a)+P(b) +P(c)= 0.1+0.1+0.2 = 0.4$

b) $P(B) =P(c) +P(d)+P(e)=0.2+0.4+0.2=0.8$

c) $P(A') = 1-P(A) =1-0.4=0.6$

d) $P(A \cup B) =0.4 +0.8-0.2 =1.0$

e) The intersection between the set A and B is the element c so then we have this:

$P(A \cap B) = P(c) =0.2$

Step-by-step explanation:

We have the following space provided:

$S= [a,b,c,d,e]$

With the following probabilities:

$P(a) =0.1, P(b)=0.1, P(c) =0.2, P(d)=0.4, P(e)=0.2$

And we define the following events:

A= [a,b,c], B=[c,d,e]

For this case we can find the individual probabilities for A and B like this:

$P(A) = 0.1+0.1+0.2 = 0.4$

$P(B) =0.2+0.4+0.2=0.8$

Determine:

a. P(A)

$P(A) =P(a)+P(b) +P(c)= 0.1+0.1+0.2 = 0.4$

b. P(B)

$P(B) =P(c) +P(d)+P(e)=0.2+0.4+0.2=0.8$

c. P(A’)

From definition of complement we have this:

$P(A') = 1-P(A) =1-0.4=0.6$

d. P(AUB)

Using the total law of probability we got:

$P(A \cup B) =P(A) +P(B)-P(A \cap B)$

For this case $P(A \cap B) = P(c) =0.2$ , so if we replace we got:

$P(A \cup B) =0.4 +0.8-0.2 =1.0$

e. P(AnB)

The intersection between the set A and B is the element c so then we have this:

$P(A \cap B) = P(c) =0.2$

8 0

3 years ago

Marcos is flying a kite 35 feet above an oak tree. The angle of elevation to the top of the tree is 16 degrees and the angle of

Elza [17]

9514 1404 393

Answer:

195 ft

Step-by-step explanation:

The relationship between the horizontal distance, angle, and vertical height is given by ...

Tan = Opposite/Adjacent

Referring to the attached diagram, we have ...

tan(16°) = BT/MB

tan(25°) = BK/MB

Solving for BT and BK, we can describe their difference as ...

BT = MB·tan(16°)

BK = MB·tan(25°)

BK -BT = 35 = MB(tan(25°) -tan(16°))

Dividing by the coefficient of MB gives ...

MB = 35/(tan(25°) -tan(16°)) = 35/0.179562

MB = 195 . . . feet

Marcos is standing 195 feet from the base of the tree.

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3 years ago

What is the median number of cars sold this month?<br> A) 22<br> B)20<br> C) 20.4<br> D)21

tresset_1 [31]

Answer:

The Median is 20

Arrange the numbers in order

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The middle number is 20

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3 years ago

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