If triangle ABC is an equilateral triangle and the measure of angle A is
5x, what is the value of x?

Answer:

Step-by-step explanation:

x-intercept -> when y = 0

f(x) x-intercept -> (1 , 0)

g(x) x-intercept -> (-1 , 0)

y-intercept -> when x = 0

f(x) y-intercept -> (0 , -1)

g(x) y-intercept -> (0 , 1)

The x-intercept of f(x) is greater than the x-intercept of g(x)

The y-intercept of g(x) is greater than the y-intercept of f(x)

So from the options, the answer is D. The x-intercept of f(x) is greater than the x-intercept of g(x)

Answer:

Step-by-step explanation:

Answer:

A. ST = RU

Step-by-step explanation:

Quadrilaterals are four sided figures. Examples are: square, rectangle, trapezium, parallelogram etc. A parallelogram is a quadrilateral that has equal opposite and parallel sides.

This implies that in the given question since RS || TU, then;

RS = TU = 6

So that for RSTU to be a parallelogram,

ST = RU

Thus, the appropriate option to the question is A.

Answer:

16

Step-by-step explanation:

The value of the angle m∠P is given by the law of sines and m∠P = 16°

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ΔNOP

Now , the measure of side p = 72 inches

The measure of side o = 84 inches

And , the measure of angle ∠O = 19°

From the law of sines , we get

a / sin A = b / sin B

On simplifying , we get

sin p / 72 = sin o / 84

Multiply by 72 on both sides , we get

sin p = ( 72 / 84 ) sin ( 19 )°

On further simplification , we get

sin p = ( 0.857 ) x 0.325568

sin p = 0.279058

Taking inverse on both sides , we get

p = sin ⁻¹ ( 0.279058 )

p = 16.204°

Therefore , the value of p is 16°

Hence , the measure of angle ∠P = 16°

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Answer: ☁️ x = 7,-5. ☁️

Hope it helps.

Explanation: Have a nice day!~ ￣▽￣❤️

Answer:

First one is one triangle.

Second one is one triangle.

Third one is no triangle (I think, I've never studied this kind of math before so I'm kinda stumped)

Answer:

368×-6

Step-by-step explanation:

=323x+45x-6

=323x+45x + -6. =323×+45×+-6.=(323×+45×)+(-6) =368×+-6

Answer: d. 5

Step-by-step explanation:

Answer:

A bacteria culture initially contains 2500 bacteria and doubles every half hour. The formula for the population is p(t)=2500e^(kt) for some constant k. Find the size of the bacterial population after 100 minutes. Find the size of the bacterial population after 4 hours.

Step-by-step explanation:

Answer:

1. 10000 bacteria

2. 640000 bacteria

Step-by-step explanation:

2500 bacteria: 30 minutes

x bacteria: 60 minutes

The bacteria gets doubled twice

2500*2*2=10000

x bacteria:240 minutes

The bacteria gets doubles 8 times

2500*2*2*2*2*2*2*2*2= 640000

Answer:

I believe that the answer is 13 feet long

Answer:

25

Step-by-step explanation:

square 7 and 24 to get 625. Then square root it to get 25

Answer:

1[tex]x^{2}[/tex]

Hope that helps!

Step-by-step explanation:

Answer:

-4m/s²

Step-by-step explanation:

(4m/s - 16m/s) / 3s = -12m/s / 3s = -4m/s²

Answer:

No, I do not think the sample is biased.

Step-by-step explanation:

Well, Theo is surveying people randomly, he has no way of knowing who'll be the fourth person.

Answer:

10 and 9 so 90

Step-by-step explanation:

10 times 9 equals 90

Answer:Measure of the angles are 50, 130, 50 & 130

Step-by-step explanation: seen from the diagram, adjacent angles are supplementary and opposite angles are equal.

enter image source here

Let one angle be A

Other adjacent angle b will be 180-a

Given b = 2a + 30. Eqn (1)

As B = 180 - A,

Substituting value of b in Eqn (1) we get,

2

A

+

30

=

180

−

A

∴

3

a

=

180

−

30

=

150

A

=

50

,

B

=

180

−

A

=

180

−

50

=

130

Measure of the four angles are

50

,

130

,

50

,

130

Answer:

The range here is 85

Step-by-step explanation:

Here, we want to calculate the range of the data

Mathematically, the range is defined as the difference between the lowest value and the highest value in the dataset

From the given data points, the highest value is 189, while the lowest value is 104

So the range is the difference between the two which is;

189-104 = 85

Answer:

74.8

Step-by-step explanation:

Cos M = adjacent/hypotenuse = 26/99

M = [tex]Cos^{-1}[/tex](26/99)

M = 74.774 ≅ 74.8

​

Answer:

74.8 is the correct answer

Step-by-step explanation:

Answer:

the angle is 81 and it's complementary angle is 9

let X be the angle

let 90-x be it complementary angle

so X=9(90-x)

X=810-9x

810=10x

X=810/10

X=81

and complementary angle 90-x which is 90-81 is equal to 9...

Answer:

4xy/z^2

Step-by-step explanation:

Here, we want to make a division

We have this as;

24xy^2/6yz^2

that will be

24/6 * x * y^2/y * 1/z^2

= 4 * x * y * 1/z^2 = 4xy/z^2

Answer:

Texas is 2.08333 * 10^2 times the size of Carolina.

Step-by-step explanation:

Given :

Given that:

Texas= 2.5x10^5

Carolina = 1.2x10^3

Comparing the size of Texas and Carolina

Texas / Carolina

(2.5 * 10^5) ÷ 1.2 * 10^3

(2.5/1.2) * 10^5-3

2.08333 * 10^2

Hence, Texas is 2.08333 * 10^2 times the size of Carolina.

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

ive done this before and the answer to the equation is c and also truss me on this if you want. I wouldnt

The inequality that describes the possible value of x is 2< x < 22.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

Given that ∠A = 50°

AB ≈ DE ≈ EF

BC = 12

CD = 10

And the ∠E = (5x - 10)°

From the Graph, we can see that Angle A is the alternate angle to angle G

Alternate angles are the angles that occur on opposite sides of the transversal line. We can easily spot two interior alternate angles by drawing Z. The value of alternate angles is equal.

thus, ∠A = ∠E

50° = 5x -10

5x = 60

x = 12

Therefore, from the given options the value of x lies in the inequality 2 < x < 22.

Learn more about inequality here:

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Answer:

Fraction models can help clarify ideas that are often confused in a purely symbolic mode and construct mental terms that help them to perform fraction tasks meaningfully.

Step-by-step explanation:

Answer:

5 * 5 * 5

Step-by-step explanation:

The little three just means how many times the number is multiplied by itself.

Hope this helps

Answer:

Blue

Step-by-step explanation:

5^3 means to multiply itself by however many times the power says

so if its three then you multiply 5 by itself 3 times

5x5x5

Answer:

here i finished!

hope it helps yw!

Step-by-step explanation:

The doubling period of a bacterial population is 15 minutes.

At time t = 90 minutes, the bacterial population was 50000.

Round your answers to at least 1 decimal place.

:

We can use the formula:

A = Ao*2^(t/d); where:

A = amt after t time

Ao = initial amt (t=0)

t = time period in question

d = doubling time of substance

In our problem

d = 15 min

t = 90 min

A = 50000

What was the initial population at time t = 0

Ao * 2^(90/15) = 50000

Ao * 2^6 = 50000

We know 2^6 = 64

64(Ao) = 50000

Ao = 50000/64

Ao = 781.25 is the initial population

:

Find the size of the bacterial population after 4 hours

Change 4 hr to 240 min

A = 781.25 * 2^(240/15

A = 781.25 * 2^16

A= 781.25 * 65536

A = 51,199,218.75 after 4 hrs

Answer:

The price increased by 64.5, which makes a total of 279.5

Step-by-step explanation:

215*0.30 = 64.5

215 + 64.5 = 279.5

0.30 = 30% of 100

When you multiply by 0.30 you get 30%, or with any decimals, like multiply by 0.50 to get 50% of something, etc.

Answer:

6.25%

Step-by-step explanation:

I'm simply returning the favor.

If the down payment is $200, then we can subtract:

$800 - $200 = $600

Then we can find the "rent" times ten, then subtract it from the $600 left to pay.

$65*10 = $650

Now here is the hard part. We know that 600 < 650. So we need to subtract 650 from 600.

$650 - $600 = $50

Now we need to find how much more Mohamed paid than the original price.

$850 is _____% more than $800.

$850 is 106.25% more than $800.

Subtract 100% to get the difference.

6.25% is your answer.

Hope this helps. Have a nice day.