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3 years ago

Which of the following is the correct value of x? A. 62 B. 31 C. 118 D. 56

Mathematics

1 answer:

zepelin [54]3 years ago

7 0

Answer:

31°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180° we can calculate the measure of missing angles using this information

The given triangles are isosceles I have drawed the on the shape, check out the attachment olease.

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750 split in to the ratio 7:8

Alex787 [66]

Given:
total = 750
ratio = 7 : 8

We need to get the ratio of the number to its total

7 + 8 = 15 ; 7/15 and 8/15 is the ratio of the number to its total.

We multiply these ratio to the total of 750

7/15 * 750 = 350
8/15 * 750 = 400

7:8 is equal to 350:400

5 0

3 years ago

On each round, Ann and Bob each simultaneously toss a fair coin. Let Xn be the number of heads tossed in the 2n flips which occu

CaHeK987 [17]

Answer:

$P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}$

Step-by-step explanation:

In a coin toss the probability of tossing a head is 0.5 (50% head/50% tails)

If n is the number of rounds and 2n the number of coins tossed (one for each player), the probability of having m heads tossed is:

$R=\frac{2n!}{m!*(2n-m)!}$

R is the number of cases (combination of coins tossed) that gives a m number of heads. Each case has a probability of $P_{case}=0.5^{2n}$ so:

$P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}$

For example, to toss 4 heads in 5 rounds:

n=5
2n=10
m=4

$P=\frac{10!}{4!*(10-4)!}*0.5^{10}$

$P=\frac{10*9*8*7*6!}{4!*6!}*0.5^{10}$

$P=\frac{10*9*8*7}{4!}*0.5^{10}$

$P=\frac{10*9*8*7}{4!}*0.5^{10}=0.205$

8 0

3 years ago

Eric created a rectangular patio using 1 foot square paving stones which are sold in batches by the Dozen the patio measures 7 f

Verdich [7]

Eric need 5 batches of paving stones to created his patio.

6 0

3 years ago

NO LINKS!! Explain your answers (show the support by showing the changes in x and y on your table). If the relationship is linea

sdas [7]

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship: the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 5

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 35 by the x-value.

$\sf y=\dfrac{35}{x}$

**I believe there is a typing error in the table and that the y-value of x = 3 should be 11.67**

Question 6

As the x-value increases, the y-value increases. The y-value increases by a factor of 5 for each x-value increase of 1 unit.

Therefore, this is an exponential relationship.

$\sf y=5^x$

5 0

2 years ago

The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input w

vekshin1

You have the polygon MNOPQR which can be expressed as two rectangles pasted one next to each other.

To see the two rectangles in the picture, you can draw a line parallel to segment MR througn point N.

From the original picture you can state the dimensions of both rectangles.

Call S, the point where the line that you drew intercepts the segment RQ.

Then one rectangle is MNSR and the other rectangle is OPQS.

The measures of the sides of the rectangle MNSR are:

- the length of MN = length of SR = base

- the length of MR = the length of NS.= height

So its area is base * height, which you can all A1.

The measured of the rectangle OPQS are:

- segment OP = segment SQ = segment QR - segment SR = base

- segment PQ = segment OS = height

So its area is base * height, which you can call A2.

Then the area of the polygon MNOPQRS is A1 + A2. One of them is 9 u^2 and the other is what the answer is asking for, and that you have calculated above.

With this procedure you can tell the value needed.

8 0

3 years ago