It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.

Answer:

first one

Step-by-step explanation:

Tracey bought 10 movies

some cost 13 and the others 16

Let x be the movies that cost 13 and y ones that cost 16

we can state that

since Tracey both ten

since the total price is 139

so the system is :

[tex]\left \{ {{13x+16y=139} \atop {x+y=10}} \right.[/tex]

Answer:

A. 120 degrees.

Step-by-step explanation:

The two angles are alternate angles, which means they are congruent. So, x is also 120 degrees.

Hope this helps!

Hi,

it'took 70 minutes to empty the pool.  

After 20 it's stay 45 000 litres.   So in 50 minutes, 45 000 litres are gone.  

So  :    45 000 / 50 =  4500/5 = 9*5 *100 /5 = 900

900 litres is off  every minute.

So the  pool contained  :  900 *70 =  63 000 litres  in the beginning.

Answer:

try and let me know is it correct or not line A-4 lineB-8

Step-by-step explanation:

i also use mathswatch

Answer:

  60 square units

Step-by-step explanation:

We can bound the trapezoid with a rectangle having opposite corners at (4, 6) and (16, 16). This rectangle will have an area of (16 -4)(16 -6) = 120 square units.

From this bounding rectangle we can subtract the areas of the corner triangles. Their x-y extents (CW from upper left) are ...

  (10×6), (2×6), (6×4), (6×4)

Their areas are half the product of these base×height dimensions, so the triangles have a total area of ...

  (1/2)(60 +12 +24 +24) = 60

Then the area of the trapezoid is the difference of the area of the bounding rectangle and the area of the corner triangles:

  trapezoid area = 120 -60 = 60 . . . . square units

Answer:

[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]

Step-by-step explanation:

The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:

[tex]y - k = C\cdot (x-h)^{2}[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex with respect to origin, dimensionless.

[tex]C[/tex] - Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).

Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:

[tex]C = 1[/tex]

After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:

[tex]V(x,y) = (-3,-2)[/tex]

The standard form of the blue parabola is [tex]y+2 = (x+3)^{2}[/tex]. Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):

[tex]y + 2 = x^{2} +6\cdot x + 9[/tex]

[tex]y = x^{2} + 6\cdot x + 7[/tex]

Then, the blue parabola is represented by the following equations:

[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]

Answer:

Tan(x) = 1/[tex]\sqrt{3}[/tex]

We know that Tan 30 = 1/[tex]\sqrt{3}[/tex]

Therefore, x = 30 degrees

Answer:

1 - 8/9 + 4/9 = 9/9 -8/9 +4/9 = (9-8+4)/9 = 5/9

Step-by-step explanation:

Answer:

The answer is 5/9.

Step-by-step explanation:

First, you have to make all the denorminator of the fractions the same by multultiplying :

[tex]1 - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{1}{ 1} - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{1 \times 9}{1 \times 9} - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]

Next, you have to make it into 1 fraction and simplify :

[tex] \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{9 - 8 + 4}{9} [/tex]

[tex] = \frac{5}{9} [/tex]

Answer:

I think the answers are 1 to 1 ,9 to 8 , 10 to7

Answer:

12 years old

Step-by-step explanation:

Let's call Sydney's age x and Sam's age 2x. We can write:

x + 2x = 36

3x = 36

x = 12 so the answer is 12 years old.

Answer: 3.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Consecutive angles cut by a common transversal are supplementary. That means that

x + 87 =180             Subtract 87 from both sides.

x+87-87=180-87

x = 93

Answer:

3

Step-by-step explanation:

The Absolute value of -3 is 3 because it's the distance away from 0. Both have the same distance away from 0.

The opposite number of the integer number negative 3 will be 3.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The number that produces zero when multiplied by an is known as the additive inverse of a number, or a, in arithmetic. The opposite, a shift in the sign, and negation are other names for this number.

The number is given below.

⇒ - 3

The opposite of the number negative 3 will be given as,

⇒ - (-3)

⇒ 3

The opposite number of the integer number negative 3 will be 3.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer: D. 95%

Step-by-step explanation: If the difference of the scores given is 5 above and below the mean, that represents 2 standard deviations.

In normal distribution, 2 standard deviations above and below the mean represent 95% of all the inputs.

Answer:

Hey there!

6 hrs 45 mins =  405 mins, or 6.75 hours.

Hope this helps :)

Answer:

D. 24

Step-by-step explanation:

Let's name the diagram

Row 1: a1, a2, a3

Row 2: b1, b2, b3

Row 3: c1, c2, c3

From the diagram,

b2 and c2 have been given

All rows, columns and diagonal must sum up to 18

If b2=6 and c2=4

a2=18-(6+4)

=18-10

=8

a2=8

Assume a1=4

Diagonals a1+b3+c3=18

4+6+c3=18

10+c3=18

c3=18-10

=8

Assume a3=6

Diagonals a3+b2+c1=18

6+6+c1=18

12+c1=18

c1=18-12

=6

So b1=18-(6+4)

=18-10

=8

b1=8

b3=18-(6+8)

=18-14

=4

b3=4

Input all the numbers into the boxes

We have,

4 8 6

8 6 4

6 4 8

Corner numbers are a1,a3,c1,c3

=4,6,6,8

Sum of all the corner numbers=4+6+6+8

=24

D. 24

Answer:

Hey there!

To solve this problem, we want to find the LCM (least common multiple) of the two numbers.

The numbers are 25 and 30.

25=5x5

30=2x3x5

LCM is 5x5x2x3, or 150.

Thus, in 150 minutes is when the next bus will leave.

150 mins is equal to 2 hours and 30 mins, or 2.5 hours.

8 AM + 2.5 hrs = 10:30 AM.

Thus, the next time the busses leave together would be at 10:30 AM.

Let me know if this helps :)

Answer:

Step-by-step explanation:

The claim being tested is that p not equals ≠ 0.877

A) This is the alternative hypothesis and it is a two tailed test. It means that it can be in either direction.

B)Given that z = 2.94, the p value would be determined from the normal distribution table. Since the curve is symmetrical and it is a two tailed test, the p for the left tail and the right tail would be considered. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area above the test z score in the right tail is 1 - 0.998 = 0.002

We would double this area to include the area in the left tail of z = - 2.94 Thus

p = 0.002 × 2 = 0.004

C) Since alpha, 0.01 > than the p value, 0.004, then we would reject the null hypothesis, H0

Answer:

(0,10)

Step-by-step explanation:

-x + 2y = 20

2y = x +20

y = 1/2x + 10

This is slope-intercept form. The y-intercept is 10.

(0,10)

Answer:

(0, 10)

Step-by-step explanation:

Can be simplified to

2y = x+20 by adding x to both sides

then divide by 2 to get to slope intercept form: y = ax+b

b is the y-intercept

y = 1/2x + 10

so the answer is 10

Answer:

1386 in³

Step-by-step explanation:

Volume of the composite cone = volume of a hemisphere + volume of a cone

=>Find the volume of cone

Volume of cone = ⅓πr²h

π = 3.142

r = 7 in

h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]

h = √(225 - 49)

h = √176 ≈ 13 in

Volume of cone = ⅓*3.142*7²*13

= ⅓*2001.454 ≈ 667 in³

=>Find volume of hemisphere.

Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³

π = 3.142

r = 7 in

Volume = ⅔*3.142*7³ ≈ 719 in³

Volume of composite figure = 667+719 = 1386 in³

Answer:

(0,5)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

y=x^2 + 3x + 5

y=(0)^2 + 3(0) +5

y=0+0+5

y=5

Since there is no x coordinate for a y-intercept, the answer is (0,5)

Answer:

A. (0, -5) is the right answer on edge 2021

Answer:

The answer is given below

Step-by-step explanation:

The mean (μ) = 21.2 minutes and the standard deviation σ = 3.5 minutes.

the​ oil-change facility will perform 45 oil changes between 10 A.M. and 12 P.M, therefore the sample size n = 45

there be a​ 10% chance of being at or​ below. From the normal distribution table, The z score corresponding to a probability of 10% (= 0.1)  is -1.28.

z = -1.28

To calculate the mean​ oil-change time, we use the formula:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }\\\\ Substituting \ values:\\-1.28=\frac{x-21.2}{\frac{3.5}{\sqrt{45} } }\\\\x-21.2=-0.6678\\\\x=-0/6678+21.2\\\\x=20.5[/tex]

Answer:

F. cylinder

Step-by-step explanation:

A cylinder has a circle for its base, which has no vertices and is not a polygon. This, therefore, disqualifies a cylinder as a polyhedron.

Answer:

k = -11

Step-by-step explanation:

Let [tex]p(x) = x^3-6x^2+kx+10[/tex]

And x+2 is a factor of p(x)

Let x+2 = 0 => x = -2

Putting in p(x)

=> p(-2) = [tex](-2)^3-6(-2)^2+k(-2)+10[/tex]

By remainder theorem, Remainder will be zero

=> 0 = -8-6(4)-2k+10

=> 0 = -8-24+10-2k

=> 0 = -22-2k

=> -2k = 22

Dividing both sides by -2

=> k = -11

Answer:

y=4x

Step-by-step explanation:

this is because all other systems are defined and can be solved simultaneously...

pls lime and follow me ...i follow back...thanks

Answer:

Step-by-step explanation:

surface area of two trapezoids=2[(12+8)/2×3]=2[30]=60 cm²

surface area of side rectangles=10×8+10×12=10(8+12)=200 cm²

surface area of top=10×5=50 cm²

surface area of bottom=10×3=30 cm²

Total surface area=60+200+50+30=340 cm²

Answer:

Step-by-step explanation:

to find the surface area , you need to find the area of each side(face)

top: 5*10=50

the bottom of the shape: 3*10=30

the front face:10*8=80

the sides are trapezoid shapes with:different dimensions:

side :8,12 and eight of 3 ( the shape has 3 faces the same)

area=((12+8)/2)*3= 30 (30*3 faces or sides)

add the numbers: 50+30+80+(30*3)=250 cm^2

I hope it is right and good luck

Answer:

             [tex]\bold{y+5=\frac57(x-8)}[/tex]

Step-by-step explanation:

[tex]y-y_1=m(x-x_1)[/tex]      - point-slope form of Equation of the Line

[tex](8,-5)\ \ \implies x_1=8\,,\ y_1=-5\\\\m=\frac57\\\\equation:\\{}\qquad\qquad y-(-5)=\frac57(x-8)\\\\{}\qquad\qquad y+5=\frac57(x-8)[/tex]

Answer:

In January

she used 3/5 of what she used in February.

In February she used 2/3 litres of oil.

So it is 3/5 of 2/3 to find what amount she used in January.

3/5 × 2/3 = 6/15

If we simplify 6/15 we find 2/5 as our answer.

So our answer is 2/5 litres.