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Lera25 [3.4K]
4 years ago
7

I’m confused on this one

Mathematics
1 answer:
masha68 [24]4 years ago
6 0

If Y is an external point and XY and YZ are tangent to the circle, then by definition, XY = YZ.

Then, we just plug in the values to get:

2x + 8 = 8x - 16

Combine like terms to get:

6x = 24.

Divide 6 from both sides, and you get: x = 4 units.

You might be interested in
Help me with 5,7, and number 2 on the bottom
VikaD [51]

Answer:

2. YM ≅ MQ

5. JK = 7 inches

7. SV = 12 meters

Step-by-step explanation:

2. YM ≅ MQ - corresponding sides of congruent triangles are congruent

5. If rectangle EFGH is congruent to rectangle JKLM, then corresponding sides are congruent. Side EF is congruent to side JK because E and F are first two letters in name of rectangle EFGH and J and K are first two letters in name of rectangle JKLM. Thus,

JK = 7 inches

7. If quadrilateral BCDE is congruent to quadrilateral STUV, then corresponding sides are congruent. Side BE is congruent to side SV because B and E are first and last letters in name of quadrilateral BCDE and S and V are first and last letters in name of quadrilateral STUV. Thus,

SV = 12 meters

3 0
4 years ago
Dividing polynomials simplify 10c+6÷2
Allushta [10]

Answer:Final result :

 5c + 3

Step-by-step explanation:Step by step solution :

Step  1  :

           10c + 6

Simplify   ———————

              2    

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  10c + 6  =   2 • (5c + 3)  

Final result :

 5c + 3

5 0
3 years ago
James wants to tile his floor using tiles in the shape of a trapezoid to make the pattern a little more interesting he has decid
andriy [413]

Answer: 14 inches

Step-by-step explanation:

Given the following :

James wants to cut a floor tile in the shape of a trapezium with the following dimension :

Top base = 12 inches

Bottom base = 16 inches

To obtain the medan, we take the average of the two bases :

(top base + bottom base) / 2

(12 inches + 16 inches) / 2

28 inches / 2

= 14 inches.

3 0
3 years ago
Which of the following linear equations
suter [353]

Answer:

A and D

Step-by-step explanation:

the slope is the number in front of the x, as in the formula y = a*x + b

the linear equations that have a negative value for a have a negative slope

7 0
3 years ago
Sherri got a new job as a teacher for the local school. Her rent is going to be 40% of her income, she will save 10% each month,
Xelga [282]

Answer:

The mistake she is making is that she is making less than she is spending

Step-by-step explanation:

Step 1: Determine her total income

Let her total income be x

Step 2: Determine amount of each expense

The amount of each expense can be expressed;

Amount of each expense=percentage of total expense×total income

a). Rent

percentage expense on rent=40%

total income=x

Amount of rent=(40/100)×x=0.4 x

b). Savings

percentage expense on savings=10%

Amount of savings=(10/100)×x=0.1 x

c). Fixed expenses

percentage fixed expense=40%

Amount of fixed expenses=(40/100)×x=0.4 x

d). Flexible expenses

percentage flexible expense=20%

Amount of flexible expenses=(20/100)×x=0.2 x

Step 3: Calculate total expenses

Total expenses=Amount of flexible expenses+fixed expenses+amount of savings+amount of rent

replacing;

Total expenses=(0.2 x+0.4 x+0.1 x+0.4 x)=1.1 x

Step 4: Get remaining amount of her income

Net income=(x-1.1 x)=-0.1 x

This means that her expenses exceed her income by -0.1 x. The mistake she is making is that she is making less than she is spending

5 0
3 years ago
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