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4 years ago

How can I solve this question

Mathematics

1 answer:

Lapatulllka [165]4 years ago

5 0

Answer:

The value of x can be 5 or 2

Step-by-step explanation:

In given triangle ABC

Interior Angle A = $x^{2} +3x+20$

Interior Angle B = $x^{2} +14x-5$

Exterior Angle I = $3x^{2} +10x+25$

We know that

Exterior Angle of triangle is summation of corresponding opposite angles

Angle I = Angle A + Angle B

$3x^{2} +10x+25= (x^{2} +3x+20)+(x^{2} +14x-5)$

$3x^{2} +10x+25= 2x^{2} +17x+15$

$1x^{2}-7x+10=0$

$x^{2}-2x-5x+10=0$

$x(x-2)-5(x-2)=0$

$(x-5)(x-2)=0$

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The instructions on a bottle of laundry detergent tell you to add two capfuls of detergent to each gallon of water. One capful o

Nikolay [14]

Answer:

A.You will need to add 22 tablespoons of detergent to a washing machine that holds 11 gallons of water

B. You will need to add 11 fluid ounces of detergent to a washing machine that holds 11 gallons of water

Step-by-step explanation:

1. Let's review all the information provided to answer the question:

2 capfuls of detergent to 1 gallon of water

1 capful of detergent = 1 tablespoon

2. If your washing machine holds 11 gallons of water, how many tablespoons of detergent will you need to add? How many fluid ounces of detergent?

For finding the amount of capfuls for 11 gallons of water, we multiply this way:

11 * 2 = 22 capfuls of detergent

Now, we can calculate the number of tablespoons, this way:

22 capfuls = 22 tablespoons

You will need to add 22 tablespoons of detergent to a washing machine that holds 11 gallons of water

Fiinally, let's calculate the amount of fluid ounces of detergent, this way:

1 tablespoon = 0.5 fluid ounces

22 tablespoons * 0.5 = 11 fluid ounces

You will need to add 11 fluid ounces of detergent to a washing machine that holds 11 gallons of water

4 0

3 years ago

2/3 1 3/2 2 what is the slope of the line?

Sergeeva-Olga [200]

Answer:

m =

8 - 4

6 - 3

d = √(6 - 3)2 + (8 - 4)2 = 5

= tan(θ)

θ = tan-1(

) = 53.13°

Step-by-step explanation:

5 0

3 years ago

A lumber yard has five different lengths of 2 by 4 boards. Based on cost per linear foot, which is the best deal available on 2

ExtremeBDS [4]

Complete Question:

Here is the complete question:

A lumber yard has five different lengths of 2 by 4 boards. Based on cost per linear foot, which is the best deal available on 2 by 4 boards at this lumber yard?

2 × 4 BOARD PRICES

8 foot board for $2.95

10 foot board for $3.15

12 foot board for $4.10

16 foot board for $5.80

20 foot board for $6.95

Step-by-step explanation:

8 foot board for $2.95

$\frac{2.95}{8}= 0.36875$

10 foot board for $3.15

$\:\frac{3.15}{10}=0.315$

12 foot board for $4.10

$\frac{4.1}{12}=0.341$

16 foot board for $5.80

$\frac{5.8}{16}= 0.3625$

20 foot board for $6.95

$\frac{6.95}{20}= 0.3475$

Therefore, 10 foot board for $3.15 is the best deal available on 2 by 4 boards at this lumber yard. It means you should be able to get 1 board for $0.315 when you buy 10 boards.

3 0

3 years ago

What is the equation of the line that passes through the point (-2,-2)(−2,−2) and has a slope of 22?

quester [9]

Answer:

Step-by-step explanation:

y-(-2)=22(x-(-2))

3 0

3 years ago

A person can pay $14 for a membership to the science museum and then go to the

tekilochka [14]

Answer:

13 visits

Step-by-step explanation:

if a ticket costs $3, then you need to do 41/3= approximately 13.

8 0

3 years ago