Why are these two triangles are congruent and prove reason

Answer:

Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour

Step-by-step explanation:

P.S - the exact question is -

As given

Total practice goal of Joel = [tex]4\frac{1}{2}[/tex] hours

He practiced on : Monday - [tex]1\frac{1}{2}[/tex] hours

                             Wednesday - [tex]1\frac{1}{4}[/tex] hours

                             Thursday - 1 hour

Let the remaining practice = x hours

⇒ Total practice =  [tex]4\frac{1}{2}[/tex] hours

⇒[tex]1\frac{1}{2}[/tex] + [tex]1\frac{1}{4}[/tex] + 1 + x = [tex]4\frac{1}{2}[/tex]

⇒ 1 + [tex]\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}[/tex]

⇒3 + x - 4 = [tex]\frac{1}{2} - \frac{1}{2} - \frac{1}{4}[/tex]

⇒x - 1 = [tex]-\frac{1}{4}[/tex]

⇒x = [tex]-\frac{1}{4} + 1 = \frac{-1 + 4}{4} = \frac{3}{4}[/tex]

⇒x = [tex]\frac{3}{4}[/tex] hour

∴ we get

Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour

The number of bass are 9 and the number of trout are 3.

Given that, Pat was in a fishing competition at Lake Pisces. He caught some bass and some trout.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let x be the number of bass and y be the number of trout.

Each bass weighed 3 pounds, and each trout weighed 1 pound. Pat caught a total of 30 pounds of fish.

So, 3x+y=30 --------(I)

Since trout are endangered in Lake Pisces, he lost 1 point for each trout. Pat scored a total of 42 points.

5x-y=42 --------(II)

Use elimination method

Add equation (I) and (II), we get

3x+y+5x-y=30+42

⇒ 8x=72

⇒ x=9

Put x=9 in equation (I), we get

3(9)+y=30

⇒ y=3

Hence, the number of bass are 9 and the number of trout are 3.

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Answer:

There are 10 slices in one pizza.

Step-by-step explanation:

30 ÷ 3 = 10

Answer:

10 slices

Step-by-step explanation:

30÷3=10 meaning every pizza will have 10 slices and 2 pizzas will have 20.

Answer:

Here's how to solve the problem

Step-by-step explanation:

50% of participants are in 6th grade.

100% - 50% = 50

0.3, when converted to percentage form is 30%

50% - 30% = 20%

This remaining 20% is how many participants, out of the whole, are in the 7th grade

20% = 0.2 = 2/10 = 20/100

Answer:

546

Step-by-step explanation:

Surface Area = 2(lw + lh + wh)

plug in 21 10.5 and 2.5

Answer:

im confused on that question too but here is the a pic for u

Step-by-step explanation:

Answer: 168.5 inches

50 yards = 1800 inches

50 meters = 1968.5 inches.

So, if you run 50 yards, you run 1968.5 - 1800, 168.5 inches less than 50 meters.

Let me know if this helps!

Answer:

The coordinates of the point that divides the line internally in the given ratio is (7,3)

Step-by-step explanation:

To find this coordinates, we use the in renal division formula

we have this as;

(x,y) =( nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

(x1,y1) = (4,-3)

(x2,y2) = (8,5)

(m,n) = (3,1)

So, substituting these values, we have ;

(x,y) = (1(4) + 3)8))/(3 + 1) , (1(-3) + 3)5)/(1 + 3)

(x,y) = (28)/4, (12/4)

(x,y) = (7,3)

Answer:

Can you pls enter the correct question

Answer:

a) 12.1

b) 15.1

Step-by-step explanation:

Answer:

Answer vary:

1 3/5

Step-by-step explanation:

I have no idea how to explain I did it on paper but if you look up how to divide fractions it‘ll show you how and that’s how you get your answer or use a calculator.

1. turn 1 1/5 into an improper fraction = 6/5

this is how it should go :

1 1/5 divided by 3/4

1 1/5 turns into 6/5

3/4 divide 6/5

and after that you jus keep going and if you don’t know how to divide fractions look it up and it should show you.

The sum of the mixed fraction number 1 ¹/₅ and the fraction number 3/4 will be 39/20.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

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

The two numbers are given below.

1 ¹/₅ and 3/4

Convert the mixed fraction number into a fraction number. Thew we have

1 ¹/₅ = 1 + 1/5

1 ¹/₅ = 6/5

Then the sum of the fraction numbers 6/5 and 3/4 will be calculated as,

⇒ 6/5 + 3/4

⇒ (24 + 15) / 20

⇒ 39 / 20

The sum of the mixed fraction number 1 ¹/₅ and the fraction number 3/4 will be 39/20.

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Answer:

x is 10.

Step-by-step explanation:

3x + 12 = 42

Subtract 12 from both sides

3x = 42 - 12

Subtract 12 from 42 to get 30

3x = 30

Divide both sides by 3

x = 30/3

Divide 30 by 3 to get 10

x = 10

Answer:

A. X < 3

Step-by-step explanation:

Let x represent the average number of shots Kaydence can take on each hole in order to beat Delilah's score.

Delilah final score is 42 while Kaydence has 5 holes left and has a score of 27. Hence:

number of holes left for Kaydence * x < Delilah final score - Kaydence present score

That is:

5*x < 42 - 27

Simplifying gives:

5x < 15

Dividing both sides by 5 to make x the subject of the inequality:

5x / 5 < 15 / 5

x < 3

Answer:

The person from the top was correct

Step-by-step explanation:

x < 3

Answer:

Triangle P

Step-by-step explanation:

The mean cost of transportation is £20.80

The peace of data that distorts the mean average is the taxi fares.

Step-by-step explanation:

Since the mean is the average, you add all the piece of date together then divide by the amount of data.

The equation for that would look something like this:

[tex](8.5 + 7 + 5.7 + 62) \div 4[/tex]

Answer: the answer would be $150

Step-by-step explanation:

Answer:$150.00

Step-by-step explanation:

If you think about a item going down by 70%, it means that you are paying only 30% of the total price.

100%-70%=30%

So 30% of $500 is what you are paying.

30%=30/100=0.3

So you multiply 0.3x500

Which is equal to 150

Answer:

it is a polynomial because it has more than two terms

Answer:

4h^2 -14h - 30

Step-by-step explanation:

Foil the binomials:

Multiply the first two 4h^2

Multiply the outer two -20h

Multiply the inner two +6h

Multiply the last two terms -30

Then combine like terms and you get final answer

Answer:

x²+5x-14

Step-by-step explanation:

expand out the brackets:

x²-2x+7x-14

simplify:

x²+5x-14

Answer:

[tex]q=70[/tex]

Step-by-step explanation:

The total angle measure of supplementary angles (straight angles like this one) will always equal [tex]180[/tex]°, so the following equation can be used:

[tex]180-52-58=q→180-110=q→70=q[/tex]

Answer:

3 pounds 2 oz

Step-by-step explanation:

1 pound = 16 oz

x pounds = 50 oz

Cross Multiply

16x = 50 oz             Divide by 16

x = 50 / 16

x = 3 pounds with 2 oz left over.

Your calculator will give you 3.125

0.125 = 1/ 8

1/8 * 16 = 2

Answer:

728

Step-by-step explanation:

6552/9 = 728

Answer:

Its 33,44,55.

Step-by-step explanation:

Step-by-step explanation:

70 Reis espero ter ajudado

Answer:

1283/1000

Step-by-step explanation:

or 2/14

Answer

7/12

Step-by-step explanation:

Answer:

6.32

Step-by-step explanation:

6^2 - 2^2

✓40

=6.32455532

2d.p = 6.32

Answer:

3. trust me because 9 is leads than 2