In a basketball game the home team scores (2m + 39) points and the visiting team scores (3m + 40) points. Find the sum to represent the total points scored by the two teams m minutes past halftime.

Given:

[tex]\overline{HG}||\overline{JI},\overline{GI}\cong \overline{IK}[/tex] and [tex]\angle HIG\cong \angle JKI[/tex]

To prove:

[tex]\angle H\cong \angle J[/tex]

Solution:

In [tex]\Delta GHI[/tex] and [tex]\Delta IJK[/tex],

Statements                                               Reasons

[tex]\overline{HG}||\overline{JI},\overline{GK}[/tex] is transversal.                       (Given)

[tex]\angle HGI\cong \angle JIK[/tex]                                          (Corresponding angles)

[tex]\overline{GI}\cong \overline{IK}[/tex]                                                     (Given)

[tex]\angle HIG\cong \angle JKI[/tex]                                          (Given)

Two angles and their included side are congruent in both triangles. So,

[tex]\Delta GHI\cong \Delta IJK[/tex]                                         (ASA postulate)

[tex]\angle H\cong \angle J[/tex]                                                    (CPCTC)

Hence proved.

Answer:

m = 2

Step-by-step explanation:

The number of cups of  marshmallows, m, needed for r  cups of Rice Krispy r is described by  the equation :

r= 1.5m ...(1)

We need to find the no. of marshmallows  are needed to mix with 3 cups of  Rice Krispies.

Pu r = 3 in equatin (1) :

[tex]m=\dfrac{r}{1.5}\\\\m=\dfrac{3}{1.5}\\\\m=2[/tex]

So, there are 2 cups of marshmallows .

we need to multiply : 1/5*3/4 multiply 1 by 3 on the tops so we have 3/5*4 5*4=3/20

The [tex]\frac{1}{5} \times \frac{3}{4}[/tex] in simplest form is [tex]\frac{3}{20}[/tex].

Given that,

Based on the above information, the calculation is as follows:

[tex]= \frac{1}{5} \times \frac{3}{4}\\\\= \frac{3}{20}[/tex]

Therefore we can conclude that the [tex]\frac{1}{5} \times \frac{3}{4}[/tex] in simplest form is [tex]\frac{3}{20}[/tex].

Learn more: brainly.com/question/6201432

the answer to your problem is A or 28

Answer:

the Profit for the month is $2,083.43

Step-by-step explanation:

The computation of the profit for the month is shown below:

Profit for the month is

= Monthly gross receipts - expenses

= $20,834.34 - $18,750.91

= $2,083.43

hence, the Profit for the month is $2,083.43

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

18 degrees

Step-by-step explanation:

When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1/ 6 of a minute. At that rate, how much will the oven heat up in 1 minute?

Solving the above question

1/6 minute = 3 degrees

1 minute = x

Cross y

1/6x = 3 × 1

x = 3 ÷ 1/6

x = 3 × 6

x = 18 degrees

The oven will heat up 18 degrees in 1 minute

Answer:

option D

Step-by-step explanation:

According to Pascal's triangle

1

1 1

1 2 1

1 3 3 1

it is clear the second term will have an integer coefficient of 3

Therefore 3(x)²(-1)¹

3x²(-1)=-3x²

Answer: 48 litros.

Step-by-step explanation:

El recipiente está inicialmente lleno, definamos esta cantidad como X.

Se extrae un tercio, entonces lo que queda en el recipiente son dos tercios de la cantidad inicial, esto es:

(2/3)*X

Luego se extrae (1/4) de esta cantidad, eso quiere decir que queda (3/4) de esta cantidad, entonces lo que queda es:

(3/4)*(2/3)*X = (2/4)*X = (1/2)*X

Luego se agrega un litro, entonces tenemos:

(1/2)*X + 1 L

Sabemos que esta cantidad es igual a 25 L, entonces:

(1/2)*X + 1 L = 25 L

Resolvamos esto para X

(1/2)*X = 25 L - 1 L = 24 L

X = 2*24 L = 48 L

La cantidad que puede contener el contenedor son 48 litros.

Answer:

D

x is less than or equal to -3

Step-by-step explanation:

I hope I was fast enough ^^

Answer:

Step-by-step explanation:

No problem

Answer:

$11.55

Step-by-step explanation:

He spent 6.95 of the 13.5 which means he has 6.55 left. He then borrows 5 more dollars to buy snacks, so 6.55+5=11.55.

Answer:

$11.55

Step-by-step explanation:

hope this helped

Answer:

(h*h)(10) is the same as h(10)*h(10). Let's find the value of h(10) first. To do this, replace every x with 10 like so

Step-by-step explanation:

h(x) = 6-x

h(10) = 6-10

h(10) = -4

So,

h(10)*h(10) = (-4)*(-4)

h(10)*h(10) = 16

The final answer is 16

Answer:

h≤6 that should be the answer

Answer:

345

Step-by-step explanation:

The multiplying factor is 100% + 7% = 107% = 1.07

The number of bacteria after 5 months is

246 × [tex](1.07)^{5}[/tex]

≈ 345 ( to the nearest whole number )

Answer:

345 and brainliest pls

Step-by-step explanation:

Answer:

The first number is 184

Step-by-step explanation:

Hope this helps u!! :D

Answer:

14.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean is 3.5

Answer:

35 quizzes

Step-by-step explanation:

7 quizzes for each week of school means that the equation will be

7×5

(7, five times)

7×5= 35

therefore, 35 quizzes done in the quarter

Answer: NOT CONGRUENT

Step-by-step explanation:

Answer:

They are congruent because of ASA.

Step-by-step explanation:

Since these points are at the same rate, we can safely assume that it is congruent based on these given statements below.  It is also ASA because angle B and angle C are mentioned in the given statements and there is a side explanation which is BC and EF which makes them angle-side-angle.

Answer:

[tex]7 \sqrt{2} [/tex]

Step-by-step explanation:

given : area =98π

we know area of a circle = π r^2

hence

πr^2=98π { cancelling both π }

r^2=98

[tex]r = \sqrt{98} [/tex]

[tex]r = 7 \sqrt{2} [/tex]

hope it helps

im not sure but maybe sorry

Answer:

7 years

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Given

28.95 + 34.05b ≤ 200 ( subtract 28.95 from both sides )

34.05b ≤ 171.05 ( divide both sides by 34.05 )

b ≤ 5.02349..

Thus 5 black inks were purchased

Answer:

The slope is 4.

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=16-12/4-3

m=4/1

m=4

Answer:

I think its m = 1/4

Step-by-step explanation:

subtract 4 from 3 and 16 from 12 and you will get the answer

Answer:

the answer should be y = x^3 - 2x^2  - 13x - 10

Step-by-step explanation:

x = -2 5 -1

x + 2 = 0

x - 5 = 0

x + 1 = 0

f(x) = (x + 2) (x + 1)

x(x) + 2(x) + x(1) + 2(1)

x^2 + 2x + x + 2

x^2 + 3x + 2

f(x) = (x^2 + 3x + 2) ( x - 5)

x^2(x) + 3x(x) + 2(x) + x^2(- 5) + 3x(- 5) + 2(- 5)

x^3 + 3x^2 + 2x - 5x^2 - 15x - 10

x^3 - 2x^2 - 13x - 10

f(x) = x^3 - 2x^2 - 13x - 10

Step-by-step explanation:

this is your answered give me point

Answer:23

Step-by-step explanation:

:)

Additive inverse of 23 will be -23

Its the opposite which is negative on the number line

Answer:

The answer is  

20x + 17.5

Step-by-step explanation:

Multiply the 5 by the numbers inside the parenthesis.

5 x 4x

5 x 3.5

Answer:

what does it say.........................

Answer:

They can make 10 smoothies

Step-by-step explanation:

15/3cups= 5

5x2=10

so 10 smoothies

Answer:

Y=23x-43

Step-by-step explanation:

Distribute 23 to (x) and (-2) = 23x-46

The bring the -3 the other side

Y=23x-43

Answer:

Step-by-step explanation:

The standard form of writing the linear equation of a line is expressed as;

f(x) = mx + c where;

m is the slope

c is the intercept

Given the function  f(x) = 3x − 12

x intercept occurs at f(x) = 0

0 = 3x - 12

3x = 12

x = 12/3

x = 4

Hence the x intercept is 4

y intercept occurs at x = 0

f(x) = 3(0) - 12

f(x) = -12

Hence the y intercept is at -12

Answer:

The area of the triangle is 231 cm² to the nearest square centimeter

Step-by-step explanation:

We can find the area of a triangle has the lengths of two sides and the measure of the included angle by using the trigonometry

A = [tex]\frac{1}{2}[/tex] × s1 × s2 × sinФ, where

In ΔABC

∵ AC = 24 cm

∴ s1 = 24

∵ BC = 30 cm

∴ s2 = 30

∵ m∠C = 40°

∴ Ф = 40°

→ By using the rule of the area above

∵ A = [tex]\frac{1}{2}[/tex] × 24 × 30 × sin(40°)

∴ A = 231.4035395 cm²

→ Round it to the nearest square centimeter

∴ A = 231 cm²

∴ The area of the triangle is 231 cm² to the nearest square centimeter