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3 years ago

Cellus

Mathematics

1 answer:

Solnce55 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Corresponding angles have the same matching corner.

<6 has the same matching corner as <2. <6 and <2 are congruent.

Therefore, it can be concluded that <6 corresponds to <2.

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The sum of two consecutive odd integers is 96. what is the product of these integers?

liubo4ka [24]

Answer:

47 and 49

Step-by-step explanation:

3 0

2 years ago

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How do I find the center & radius, then write a standard equation for a,b, and c?

Ghella [55]

Firstly , we will locate centres and radius in the figures

(a)

We can see that

centre=(h,k)=(0,0)

radius=r=5

now, we can use standard equation of circle

$(x-h)^2+(y-k)^2=r^2$

we can plug values

we get

$(x-0)^2+(y-0)^2=5^2$

$x^2+y^2=25$

(b)

We can see that

centre=(h,k)=(5,4)

radius=r=3

now, we can use standard equation of circle

$(x-h)^2+(y-k)^2=r^2$

we can plug values

we get

$(x-5)^2+(y-4)^2=3^2$

$(x-5)^2+(y-4)^2=9$

(c)

We can see that

centre=(h,k)=(4,3)

radius=r=5

now, we can use standard equation of circle

$(x-h)^2+(y-k)^2=r^2$

we can plug values

we get

$(x-4)^2+(y-3)^2=5^2$

$(x-4)^2+(y-3)^2=25$

5 0

3 years ago

Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.

yan [13]

Answer:

The value of k is 3.

Step-by-step explanation:

The function f(x) passes through the points (0,4) and (-6,-2)

So the equation of the function is $\frac{y-4}{4-(-2)} = \frac{x-0}{0-(-6)}$

⇒ y = x + 4 ....... (1)

Again the function g(x) passes through the points (0,4) and (-2,-2).

Therefore, the equation of g(x) will be $\frac{y-4}{4-(-2)} =\frac{x-0}{0-(-2)}$

⇒ y = 3x + 4

Therefore, g(x) = 3x + 4 = f(3x) {from equation (1).

So, the value of k is 3. (Answer)

3 0

3 years ago

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What is the value of 30-2(7+2)-1

disa [49]

First follow the order of operations so do the parentheses first.
30-2(7+2)-1
30-2(9)-1
Then multiplication
30-18-1
Then left to right
12-1
Then again
So your answer is 11

Hope that helps. Feel free to ask any questions.

7 0

3 years ago

Polo shirts come in two colors- white and blue. There are 18 more white polo shirts than blue polo shirts. The white polo shirts

MAVERICK [17]

Answer:

The total number of polo shirts is 50

Step-by-step explanation:

Let

x -----> the number of white polo shirts

y -----> the number of blue polo shirts

we know that

$x=y+18$ -----> equation A

$68\%=68/100=0.68$

$x=0.68(x+y)$ ------> equation B

substitute equation A in equation B and solve for y

$y+18=0.68(y+18+y)\\ y+18=0.68(2y+18)\\ y+18=1.36y+12.24\\ 1.36y-y=18-12.24\\ 0.36y=5.76\\ y=5.76/0.36\\ y=16\ blue\ polo\ shirts$

Find the value of x

$x=16+18=34\ white\ polo\ shirts$

Find the total number of polo shirts

$x+y=34+16=50\ polo\ shirts$

6 0

3 years ago