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3 years ago

Find the variable x.

Mathematics

1 answer:

Mazyrski [523]3 years ago

5 0

Answer:

x = 5

Step-by-step explanation:

7x is a secant- secant angle and has measure equal to half the difference of the intercepted arcs, that is

7x = 0.5(22x + 10 - 50)

7x = 0.5(22x - 40) ← distribute

7x = 11x - 20 ( subtract 11x from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5

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a fox a coyote and a wolf weigh a total of 120 pounds the ratio of the weight of fox to the weight of coyote is 3:8 the weight o

ira [324]

There is not enough information to calculate this.

Knowing the weight ratio of the fox to coyote as 3:8 in no way allows you to know the respective ratio of the wolf. To know the weight of the wolf would require knowing its ratio value, then the weights of all 3 is an easy calculation. 
Example - 3:8:15 (f:c:w) is a plausible ratio based upon real-world weight averages for certain species/subspecies of the three. 
- knowing the values of the 3 terms as 3:8:15 gives a total of 3+8+15 = 26 ratio values 
- you then simply divide the total weight by this ratio value total; 120/26 = 4.62 
- so each ratio value is 4.62 units of weight*** 
- now, simply calculate the weight of each canid by multiplying its ratio value by the unit of weight... 
fox; 3 x 4.62 = 13.86 
coyote; 8 x 4.62 = 36.96 
wolf; 15 x 4.62 = 69.3 
Validate the ratios by adding the weights together (we should get 120) 13.86 + 36.96 + 69.3 = 120.12 
The total is slightly out because that 4.62 figure was a rounding up. 

Now, the thing is, there is nothing given that allows us to know exactly what ratio value the wolf should be, I chose 15 myself because that is a real-world plausible value when compared to 3:8 for the other 2. Changing it to 16, say, means that there are now 27 ratio values total giving a ratio value of 120/27 = 4.44 obviously changing the weights of all 3.

5 0

3 years ago

Can you help me with questions 21 and 23 and 19 please

lara [203]

What is the question

5 0

3 years ago

HELP ME PLEASE, I'D LIKE TO UNDERSTAND HOW TO DO THIS TOO SO I'LL GIVE BRAINLY FOR THE RIGHT ANSWER WITH GOOD AND UNDERSTANDING

umka2103 [35]

Answer:

34 goes in the blank.

Step-by-step explanation:

Triangle ABC is congruent to triangle TUV implies the following:

Angle A is congruent to angle T.

Angle B is congruent to angle U.

Angle C is congruent to angle V.

Side AB is congruent to side TU.

Side BC is congruent to side UV.

Side CA is congruent to side VT.

Note: Order tells you everything in a congruence statement.

Since side BC is congruent to UV, then the measure of side BC is equal to the measure of side UV.

8x+2=7x+6

Subtract 7x on both sides:

1x+2=6

x+2=6

Subtract 2 on both sides:

x=6-2

x=4

So if x=4, then the measure of side BC is 8x+2=8(4)+2=32+2=34.

So the measure of BC is 34 cm.

5 0

3 years ago

Jill and Erika made 5 gallons of lemonade for their lemonade stand.

julia-pushkina [17]

Part 1: 4 quarts in a gallon
4 * 5 = 20 quarts

Part 2: 20 * 2 = 40
They will make $40.00

8 0

3 years ago

I NEED HELP ASAP PLEASEEEE!!!!!

earnstyle [38]

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Hypotenuse² = base² + altitude²

5) x² = 12² + 6²

= 144 + 36

x² = 180

x = √180

x = 13.42 ft

6) 25² = x² + 19²

625 = x² + 361

625 - 361 = x²

x² = 264

x = √264

x = 16.25 m

7) x² = 7² + 576

= 49 + 576

= 625

x = √625

x = 25 in

8) 2.5² = 2²+ x²

6.25 = 4 + x²

6.25 - 4 = x²

x² = 2.25

x = √2.25

x = 1.5 yd

5 0

3 years ago