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-Dominant- [34]
2 years ago
7

What is the solution to the system of equations?

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
8 0

Answer:

y=-5x+30

y=-5×10+30

y=-50+30

y=-20

x=10

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What’s the length of AZ. If A is between Y and Z, Y A = 22, AZ = 16x, and Y Z = 166
VLD [36.1K]

Answer:

c) 144

Step-by-step explanation:

Since A is between Y and Z,

YZ = YA + AZ

116 = 22 + 16x\\16x = 116 - 22\\16x = 144\\x = 9

however, the question asks for the length of AZ, not the value of x.

Thus,

AZ = 16x

AZ = 16\\ × 9

AZ = 144

7 0
1 year ago
Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.
Rus_ich [418]

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

                           = \frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})

                           = \frac{1}{2}(3.14)(10)^2+(40\times 20)

                           = 157 + 800

                           = 957 square feet

8 0
3 years ago
In the xy-plane, the equations x + 2y = 10 and
konstantin123 [22]

By solving given equations, the value of c is 30.

Given two equations

x + 2y = 10 and

3x + 6y = c

These lines represents the same line for some constant c.

Value of c:

x + 2y = 10-------------(1)

3x + 6y = c-------------(2)

Dividing equation (2) by 3

\frac{3x}{3}+ \frac{6y}{3} =\frac{c}{3}

After solving the above equation, we get

x + 2y = c/3-----------(3)

Remember that a line is written as ax + by = c, in our case, both lines have a =1 and b = 2. Therefore, in orther that the two lines are equal, we need that, 10 = c/3

c = 10 × 3 = 30

c = 30

Therefore,

The value of c is 30.

Find out more information about equations here

brainly.com/question/21952977

#SPJ4

7 0
1 year ago
Someone please help me
Lesechka [4]

If these 2 triangles are similar to each other, the corresponding sides have to exist in proportion to one another. The angles would be exactly the same (side length doesn't matter at all!). Going from the bigger triangle to the smaller, KL corresponds to RS; LJ corresponds to SQ; JK corresponds to QR. The ratio of KL:RS is 5:1; the ratio of LJ:SQ is 5:1; the ratiio of JK:QR is 5:1. That means that the sides are all proportionate and the triangles are similar by the SSS postulate. Now that we know that the triangles are similar, we can say that all the corresponding angles are the same by CPCTC but we had to determinte side similiarity first. Your answer is the second choice, SSS

8 0
3 years ago
Each day, a restaurant chain bakes 6,777 more key lime pies than coconut cream pies. If
galben [10]

Answer:

12,132

Step-by-step explanation:

It says a restaurant chain bakes 6,777 more key lime pies that cocunut cream pies. This means regardless of the amount of cream pies, the restaurant chain bakes 6,777 more.

So....

5,355+6,777 = 12,132

4 0
3 years ago
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