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posledela
2 years ago
7

At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD~=EFGH, find AD

Mathematics
1 answer:
worty [1.4K]2 years ago
3 0

Answer: 300ft

Step-by-step explanation:

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Kelvin's monthly allowance is $42 and Mike's monthly allowance is $63. How many times Mike's monthly allowance is Kelvin's month
earnstyle [38]
It is 1.5 times because $63 divided by $42 is $1.5.
I hope this is what you meant. 
3 0
2 years ago
A function f(x) has x intercepts of -3 and -5. What is the constant term in the function?
Anon25 [30]

Answer:

The constant term in the function is 5

Step-by-step explanation:

we have

f(x)=x^{2}+8x+b

where

b is the y-intercept or the constant term of the function

Remember that

The x-intercept is the value of x when the value of the function is equal to zero

so

For x=-3 ----> f(x)=0

For x=-5 ----> f(x)=0

substitute any of the intercepts in the function

For x=-3

0=(-3)^{2}+8(-3)+b

0=9-24+b

0=-15+b

b=15

f(x)=x^{2}+8x+15

Verify with the other intercept

For x=-5

0=(-5)^{2}+8(-5)+15

0=25-40+15

0=0 ---> is true

therefore

The constant term in the function is 5

3 0
2 years ago
Solve the inequality. Using a verbal statement, in simplest terms, describe the solution of the inequality. Be sure to include t
rodikova [14]
-2x + 3 > 3(2x - 1)

the inequality sign > means 'greater than'.

First simplify the right side of the equation by distributing the 3 over the parentheses:-

-2x + 3 > 6x - 3

Now add -6x to both sides of the inequality  which gives us
-8x + 3 > -3
Adding -3 to both sides we have
-8x > -6

The next step is to divide  both sides by -8 so x is isolated on the left side and this gives us the solution. However there is a rule with inequalities that if you divide  the variable term by a negative the inequality is flipped. So in this case , greater that (>) becomes  less than (<):-

-8x / -8 < -6/-8

x <  3/4  is your answer.
7 0
2 years ago
Triangle XYZ was dilated using the rule DO,0.25 (x, y) → (0.25x, 0.25y). The image is shown in the diagram. What are the coordin
yaroslaw [1]

I was able to find the image associated with this question, in which the coordinates of point Z are given as (-2,-1).

We know that the coordinates of a point are multiplied by the scale factor to give the new coordinates. Since these coordinates result after the dilation, we divide them by the scale factor to obtain the original coordinates as such:

-2/0.25 , -1/0.25

(-8 , -4)



8 0
2 years ago
Read 2 more answers
Write the standard form of the line that contains a slope of and y-intercept of 3. Include your work in your final answer. Type
coldgirl [10]
Y=mx + b
m= slope
b= y intercept

y=3x + 3
7 0
2 years ago
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