Practice multiplying numbers by powers of 10.

Answer:

∠2 ≅ ∠B

Step-by-step explanation:

Let the triangle be ABC,

Given that,

∠A = 50°

∠C = 65°

Using angle-sum property of the triangle,

∠A + ∠B + ∠C = 180°

50° + ∠B  + 65° = 180°

∵ ∠B = 65°         ...(i)

A.T.Q.

Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.

Since the adjacent angles comprising a straight line is equals to 180°.

so,

∠2 + 50° + 65° = 180°

∠2 + 115° = 180°

∠2 = 180° - 115°

∵ ∠2 = 65°   ...(ii)

Using (i) and (ii),

∠2 ≅ ∠B

Therefore, ∠2 and ∠B are congruent to one another.

Answer: Sample Response: The sum of the measures of the interior angles of a triangle is 180°. m∠B + 50 + 65 = 180, so m∠B = 65°. The sum of adjacent angles forming a straight line is also 180°. m∠2 + 50 + 65 =180, so m∠2 = 65°. The angles are congruent.

Step-by-step explanation: its the sample response

t=46°

u=134°

v=23°

w=23°

Answer:

Solution given;

v=w [base angle of triangle]

<SPQ+<SRQ=180°[sum of opposite angle of a cyclic quadrilateral is 180°]

81+v+53+w=180°

134°+v+v=180°

2v=180°-134°

v=46/2

v=23°

w=v=23°

In triangle ∆ PQR

v+w+u=180°[sum of interior angle of a triangle]

23+23+u=180°

u=180°-46°

u=134°

again

In triangle ∆ PSR

t+81+53=180°

t=180°-134°

t=46°

Answer:

t and u are supplementary as opposite angles of a cyclic quadrilateral.

v and w are equal as opposite angles to equal sides.

Answer:

D

Step-by-step explanation:

25×5=125

I hope it helps

Answer:

2

Step-by-step explanation:

f(x)=x^2+1

now,

f(1)=1^2+1

=1+1

=2

Answer:

Yes. It represents [tex]m = h + 1000[/tex] (where h is hours of training and m is monthly pay).

Answer:

Yes, because 1 & 2 have to be the same

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Supplementary means 180 degree.

∠1 + ∠3 = 180 ----> eq. 1

∠2 and ∠3 are linear pair angles which are also supplementary.

∠2 + ∠3 = 180 ----> eq. 2

∠3 = 180 - ∠1 ----> eq. 3

( from eq. 1 )

∠3 = 180 - ∠2 ----> eq. 4

( from eq. 2 )

From, eq. 3 and eq. 4,

180 - ∠1 = 180 - ∠2

Subtract 180 on both sides.

180 - 180 - ∠1 = 180 - 180 - ∠2

- ∠1 = - ∠2

Multiply - 1 on both sides,

∠1 = ∠2

Since,

∠1 = ∠2

Sides opposite to them also equal

So, AC = BC

If any two sides in a triangle is equal, then the triangle is an isosceles triangle.

Therefore,

Δ ABC is isosceles.

Answer:

16 × X + 3=

Step-by-step explanation:

u will get your answer

Answer:

B

Step-by-step explanation:

- Divide the base by 2

10 / 2 = 5 in

- multiply by √3

5√3 in

Answer:

20

Step-by-step explanation:

There are 6 ways to choose the first kitten, 5 ways the second, 4 ways the third

6*5*4

But order doesn't matter

Divide by the number of items factorial

3! = 3*2*1 = 6

6*5*4

--------

6

20

Answer:

f(f(-1)) = 0

Step-by-step explanation:

Ok I'm assuming that's supposed to be a chart of some kind.  So first, you have to find what f(-1) is according to the chart.  

According to the chart, if x = -1, then f(-1) is -5

Now comes the next part of the equation.  So you need to find f(-5)

-5 was already founded by f(-1) bc it's first in the parantheses.

f(-1) is -5

so we need to find f(-5)

According to the chart f(-5) is 0

So ur final answer is gonna be 0

Answer:

0.9

Step-by-step explanation:

In order to get halfway between -0.5 and 2.3, first, we need to take their sum:

Sum of digits

Sum =  [tex]{-0.5+2.3}[/tex]

Sum =  [tex]1.8[/tex]

Take the average of the sum

Average = [tex]\frac{1.8}{2} = 0.9[/tex]

Hence the halfway between the numbers is 0.9

Answer:

114.89 degrees

245.11 degrees

Step-by-step explanation:

cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).

so, the first answer for the second quadrant is

114.89 degrees.

the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation

360 - 114.89 = 245.11 degrees

Step-by-step explanation:

the answer is in the graph above

use DESMOS app it helps

Step-by-step explanation:

b varies as √c

b=kc

divide both side by c

k=b/c

k=100/4

k=25

the equation is:

25=b/c

Answer:

sin C = 12/13

Step-by-step explanation:

Since this is a right triangle

Sin C = opp side / hypotenuse

sin C = 36/39

sin C = 12/13

Hi!

[tex]A=(-1,-3) \ and \ B=(11,-8)\\\\|AB|=\sqrt{(11-(-1))^2+(-8-(-3))^2}\\\\|AB|=\sqrt{(11+1)^2+(-8+3)^2}\\\\|AB|=\sqrt{12^2+(-5)^2}\\\\|AB|=\sqrt{144+25}\\\\|AB|=\sqrt{169}\longrightarrow\boxed{|AB|=13}[/tex]

Answer:

d=13

Step-by-step explanation:

the steps are in the pics below

Answer:

B

Step-by-step explanation:

We want to find RX.

Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.

Thus, we can use the tangent ratio. Recall that:

[tex]\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}[/tex]

Substitute:

[tex]\displaystyle \tan6^\circ = \frac{8}{RX}[/tex]

Take the reciprocal of both sides:

[tex]\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}[/tex]

Multiply both sides by 8:

[tex]\displaystyle RX = \frac{8}{\tan6^\circ}[/tex]

Use a calculator (make sure you're in Degrees mode!):

[tex]\displaystyle RX\approx 76.1149[/tex]

Hence, our answer is B.

Answer:

Population - - > Sampling Frame - - > Sample - - > Individual being surveyed

Step-by-step explanation:

Population is the largest as they include all units or subject of interest in a particular study or experiment. Next is the sampling frame which is the a list or compilation of all subjects which can form part of a sample. It is a compilation of all elements in the population from which the sample can be drawn.

The sample is a subset of the population of population, usually selected at random and it is representative of the population.

The individual surveyed represents a single subject or observation from the chosen sample.

Answer:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr====yzzzdccccccccccccc

Step-by-step explanation:

Answer:

V = 56 cm^3

Step-by-step explanation:

Volume is given by

V = l*w*h where l is length w is width and h is height

V = 7*4*2

V = 56 cm^3

Answer:56

Step-by-step explanation:

The formula for a rectangular prism is V=whl

V=(7)(4)(2)

7 times 4 is 28

28 times 2 is 56

Answer:

Step-by-step explanation:

-7q+12r=3q-4r

-10q=-16r

r=(5/8)q

I think its correct

Answer:

r = 5/8(q)

Step-by-step explanation:

−7q + 12r = 3q − 4r

Add 4r to both sides:

−7q + 12r + 4r = 3q − 4r + 4r

−7q + 16r = 3q

Add 7q to both sides:

−7q + 16r + 7q = 3q + 7q

16r = 10q

Divide both sides by 16:

(16r)/16 = (10q)/16

r = 5/8(q)

Answer:

b

Step-by-step explanation:

Answer:

The length of the segment is 10.

Step-by-step explanation:

Think of the segment as the hypotenuse of a right triangle.

Draw the legs and label the lengths.

See the picture below.

The length of the hypotenuse is c.

c^2 = a^2 + b^2

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100

c = 10

Answer: 10

Answer:

720

Step-by-step explanation:

Using the equation given

[tex]\frac{6!}{(6-6)!}=\frac{6!}{0!}=\frac{6!}{1}=720[/tex]

Answer: 29152332 ≡ 0 (mod 3)

Step-by-step explanation:

In modular arithmetic, there is the form a ≡ b (mod m) where b is the remainder.

To solve this problem, we want to divide 29152332 by 3 and find the remainder.

29152332 ÷ 3 = 9717444

Since we get an integer with no remainder, we know the answer is 29152332 ≡ 0 (mod 3).

Answer:

A- The mean, because the data distribution is symmetrical

Step-by-step explanation:

When the number of values to the left and left of a distribution are almost or the same, such that the peak of the distribution is at the centre and the tail are spread out at both sides, then we say we have a symmetrical distribution. For, symmetrical data, the mean is the best measure of  centre. However, for non - symmetrical distributions (skewed) the median is usually taken as the measure of centre of the data. However, since the distribution Given above, is almost symmetrical, then the mean sglhoukdnbe the preferred measure of centre.

Answer:

The events are independent and are not mutually exclusive.

Step-by-step explanation:

Two events A and B are independent if the outcome of each of them does not affect the outcome of the other.

And two events are mutually exclusive if these can't occur at the same time.

Here the events are:

a = rolling a 4 on the first die

b = rolling a 3 on the second die.

Becuase, these are number cubes, we know that the outcome of one die has no impact in the outcome of the other die.

And because each outcome is on a different die, we can conclude that these events are independent.

(rolling a 4 in the first die does not change the probability of getting a 3 when we roll the second die).

Now, the events are mutually exclusive?

No, we can roll both dices and get a 3 in the first one and a 4 in the second one, so these events can happen in the same time.

Answer:

YES.

Step-by-step explanation:

The event rolling a number '4' and the event rolling a number '3' are mutually exclusive events because both of them cannot occur at the same time.

Just took quick check

Answer:

You need to know that pairs of two angles are congruent and the pair of sides adjacent to one of the given angles are congruent

Answer:

126,000

Step-by-step explanation:

150,000 * .15 = 22,500

150,000 - 22,500= 127,000

127,000 - 1500 = 126,000