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3 years ago

What is the measure of angle x? Enter your answer in the box. x = °

Mathematics

2 answers:

Dafna11 [192]3 years ago

5 0

The answer to your question is 43°

Trust me i took the test

Lorico [155]3 years ago

4 0

90-47=
43°
x is equal to the space between the y axis and the line

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The graph of f(x)=4^x, stretches horizontally by a factor of 3

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3 years ago

Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,

MrRissso [65]

Answer:

$4.82\cdot 10^{-4}$

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

$p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769$

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

$n-1=51$

Therefore, the probability of drawing a three at the 2nd draw is

$p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784$

Then, at the third draw, the previous 2 cards are not replaced, so there are now

$n-2=50$

cards in the deck. So, the probability of drawing a jack is

$p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08$

Therefore, the total probability of drawing an ace, a three and then a jack is:

$p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}$

4 0

3 years ago

Two sixth-grade science classes are making salt water solutions. The first class (Class A) is using a ratio of three parts salt

kykrilka [37]

Answer:

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3 years ago

There are 3 feet in 1 yard. How many feet are in 25 yards?

kaheart [24]

Answer: 75ft

Step-by-step explanation: if you take 3 yards and multiply it by 25 you get 75, or you can do It the long way and add 3, 25 times.

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3 years ago

6. In Diagram 1, NPQRSTUV is a regular octagon. NVW and STW are straight lines.

Sveta_85 [38]

Answer:

A. 37.5°

Step-by-step explanation:

∠SPT can be considered an inscribed angle in the circumcircle. In that circle, arc ST would have a measure of 360°/8 = 45°. Angle y° is half that measure, so is 22.5°.

The external angles of a regular octagon are 360°/8 = 45°, so that is the measure of angles UTW and UVW. It is also the amount by which reflex angle TUV exceeds 180°.

The sum of the interior angles of quadrilateral TUVW is ...

45° +225° +45° +3x° = 360°

Then 3x° = 45° and x° = 15°.

Then the sum of interest is ...

x° + y° = 15° + 22.5° = 37.5°

3 0

3 years ago