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3 years ago

In Triangle ABC, AC is extended through C to D. If

Mathematics

1 answer:

DENIUS [597]3 years ago

8 0

Answer:

X = 5 unit

Step-by-step explanation:

Given as , ABC is a Triangle ,

AC extended to through C to D

∠BAC = 6x + 10

∠ABC = 6x - 10

∠BCD = ∠ 8x + 20

When c extended to D then , ∠BCD is an external angle

∵ <u>External angle = Sum of opposite internal angles</u>

Or ,∠BCD = ∠BAC + ∠ABC

Or, ∠ 8x + 20 = 6x + 10 + 6x - 10

Or, ∠ 8x + 20 = 12x

Or, 12x - 8x = 20

∴ 4x = 20

So, x = $\frac{20}{4}$ = 5

Hence the value of X = 5 unit Answer

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Tcecarenko [31]

Answer:

The closest to 36 would be 6in

The 8 box would be 64in²

The 10 box would be 100in²

Step-by-step explanation:

We have to square or square root the numbers

√36 is 6

8² is 64

10² is 100

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3 years ago

The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competi

Bogdan [553]

Answer:1 and 2

Step-by-step explanation:

Given

Volume needed $V=220\ in.^3$

For first cylinder

$r=3\ in.$

$h=4\ in.$

$V=\pi r^2h$

$V_1=\pi (3)^2(4)$

$V_1=113.11\ in^3$

For second cylinder

$r=4\ in.$

$h=4\ in.$

$V=\pi r^2h$

$V_2=\pi (4)^2(4)$

$V_2=201.08\ in^3$

For Third cylinder

$r=9\ in.$

$h=9\ in.$

$V=\pi r^2h$

$V_3=\pi (9)^2(9)$

$V_3=2290.51\ in^3$

For fourth cylinder

$r=4\ in.$

$h=9\ in.$

$V=\pi r^2h$

$V_4=\pi (4)^2(9)$

$V_4=452.448\ in^3$

So, cylinder $1$ and $2$ are appropriate as it is under $220\ in.^3$

3 0

3 years ago

Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 26.4 mph and is d

VLD [36.1K]

Answer: After 16 seconds the boats will be traveling the same speed.

Step-by-step explanation:

Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.

Mike's spewed after x seconds = 12 + 0.2x

Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.

Hank's speed after x seconds = 26.4 -0.7 x

As per given,

12 + 0.2x = 26.4 -0.7 x

Subtract 12 from both sides

0.2x= 26.4-12-0.7x

⇒ 0.2x= 14.4-0.7x

Add 0.7xn on both sides , we get

0.2x+0.7x= 14.4

⇒ 0.9x = 14.4

Multiply 10 on both sides, we get

9x=144

Divide both sides by 9 , we get x= 16

Hence, after 16 seconds the boats will be traveling the same speed.

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3 years ago

Twelve different video games showing violence were observed. The duration times of violence were recorded, with the times (sec

Softa [21]

Answer:

The requirements that must be satisfied are:

- The sample should be reasonably random.

- The sample size should not be higher than 10% of the population.

- The data should not have outliers or excessive skewness.

- The data should be normal or with a sample large enough (usually n>30).

There is no enough information to know if the requirements are satisfied.

Step-by-step explanation:

Ths test hypothesis would be a t-test.

The requirements that must be satisfied are:

- The sample should be reasonably random.

- The sample size should not be higher than 10% of the population.

- The data should not have outliers or excessive skewness.

- The data should be normal or with a sample large enough (usually n>30).

Some conditions are not met, as the sample size (n=12) which is not big enough.

We don't know also if the sample was taken randomly. The size of the sample respect to the population is also unknown.

In conclusion, we can not tell if the requirements are satisfied.

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3 years ago

Find the slope and the y intercept<br> Y=1/3x + 2

Andrej [43]

Answer:

m = 1/3, b = 2

Step-by-step explanation:

The equation is already written is slope-intercept form, y = m x + b.

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2 years ago