What is the measure of 2 ABC ?
B
a
60°
60°
A
С
А
30°
B
60°
90°
D impossible to determine

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:

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.

Answer:

1: the wooden part is 3.725 kilograms.

2: 10 Children

Answer:

1 3.725 kg of wood

2 10

Step-by-step explanation:

For question 1 you multiply the total weight by 3/4 to find the weight of the metal, you then subtract this from the total to find the weight of the wood

For question 2 you look at it as a fraction 1/3 kids + 2/3 adults equal 30, since there are twice as many adults. Then you multiply 30 by 1/3 and get 10

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:50%

Step-by-step explanation:

Steve's expected times of winning in 12 trials is about 2 times.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

The winning chance of Steve is 20% or 0.2.

We know, We know The expected value, also known as the expectation, average, is a generalization of the weighted average in the field of probability theory.

Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen.

Therefore, If he plays the game 12 times the number of times he is expected to win is,

= 12×0.2.

= 2.4 Or 2 times.

learn more about probability here :

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Answer:

13 to 10    13:10   13/10    all the same.

it can't be simplified because 13 can't be made smaller in equal proportions to 10.

Step-by-step explanation:

Answer:

13 to 10

Step-by-step explanation:

I haven't done this since 2nd grade

Answer:

Multiply first and add the negative sign and multiply all of it 2 times

Step-by-step explanation:

Answer:

4x +36

Step-by-step explanation:

= (2x - 6) * (2x - 6)

= 4x -12x -12x +36

= 4x +36

Answer:

y=-2/3x-3 is the equation in slope intercept form

Step-by-step explanation:

Hope this helps (:

Answer:

Only answer is A

Answer:

The first and fourth one.

Step-by-step explanation:

A ratio of 5:2 is saying that for every 5 boys, there are 2 girls. Now, in the question, it says, "In a school" so it must be within the whole school, hence #4. Hope this helps!

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:

192

Step-by-step explanation:

Answer:

It is either 64 or 96. Thank u for ur time

Step-by-step explanation:

I literally used a calculater... and thats the truth...

Answer:

$256.80

Step-by-step explanation

Change the 20% to a decimal, .20, the multiply it by the total amount of $$$, 321, and you get $64.20. Subtract that by the total amount to get the amount left over for her to get new clothes.

Hope it helps!! :))))

Answer:

I

Step-by-step explanation:

this its 61 ok thanks you

Answer:

lim_( 3\/(-5 + x) = 0

Step-by-step explanation:

h(x) = 1\/(x - 5)×3

{x element R : x!=5}

{h element R : h!=0}

d\/dx(3\/(x - 5)) = -3\/(x - 5)^2

integral 3\/(x - 5) dx = 3 log(x - 5) +

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:

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:

d and b

Step-by-step explanation:

Step-by-step explanation:

y = mx + c

m before x = slope

C. y = 3x - 1

slope = 3

select C

Answer:

c) y=3x-1

Step-by-step explanation:

y=mx+b

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:

The slope is 2/5

Step-by-step explanation:

1.) Do (y1-y2)/(x1-x2)

(4-2)-(7-2) which is 2/5

2.) 2/5 is the slope

Answer:

36.9

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:

open circle means less than OR greater to

closed circle means less than or equal to OR greater than or equal to

Answer:

7/12

Step-by-step explanation:

3/4 - 4/3 = 7/12 or 0.583

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:

7.28

Step-by-step explanation:

1.82*4= 4+3.20+.08= 7.28

Answer:

$7.28

Step-by-step explanation:

7 pencils:$1.82

28 pencils:$x

28/7=4 so multiply 1.82 by 4

$7.28

Answer:

Step-by-step explanation:

The graph decreases at first, then changes direction at (2, 5).

y = a(x-2)^2 + 5

Plug in (1,11) and solve for a:

11 = a(1-2)^2 + 5

a = 6

Equation in vertex form:

y = 6(x-2)^2 + 5