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Rasek [7]
3 years ago
9

Find the value of 4^7/4^9 A.-16 B.1/16 C.1/8 D.8

Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer:

B!

Step-by-step explanation:

:D

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Point A is the midpoint of side XZ and point B is the midpoint of side YZ. Triangle X Y Z is cut by line segment A B. Point A is
AveGali [126]

Answer:

<h3>B. 4units</h3>

Step-by-step explanation:

Find the diagram attached. The diagram is a similar triangle.

From the diagram, XZ/XY = CA/AB

Given XZ = 2x-2+2x-2 = 4x-4

XY =5x-7

CA = 2x-2

AB= x+1

On substituting this parameters into the formula to get x first

4x-4/5x-7 = 2x-2/x+1

cross multiply

(4x-4)(x+1) = 5x-7(2x-2)

open the parenthesis

4x²+4x-4x-4 = 10x²-10x-14x+14

4x²-4 = 10x²-24x+14

10x²-4x²-24x+14+4 = 0

6x²-24x+18 = 0

x²-4x+3 = 0

x²-3x-x+3 = 0

x(x-3)-1(x-3)  =0

(x-3)(x-1) = 0

x = 3 and 1

Next is to get length AX.

Given AX = 2x-2

Substitute x = 3 into the expression

AX = 2(3)-2

AX = 6-2

AX = 4 units

Hence the measure of length AX is 4 units

4 0
3 years ago
Rachel measures the lengths of a random sample of 100 screws. The mean length was 2.6 inches, with a standard deviation of 1.0 i
olga_2 [115]

Answer:

Step-by-step explanation:

Using the alternative hypothesis (µ < µ0),

To find the p-value with test statistic -1.25 and assuming a standard level of significance of 0.05, using a p value calculator, the p-value is 0.1057 which is great that 0.05. Thus, the results is not significant.

Using the p value calculation.

1. Check the left tailed z table as the test statistic is negative,

2. Then find the probabilitythat z is greater than your test statistic (look up your test statistic on the z-table- the value under 1.2 and 0.05 which is 0.8944

3. Then, find its corresponding probability, and subtract it from 1 to get your p-value- 1-0.8944 = 0.1056.

4 0
3 years ago
Given the lengths of two sides of a triangle, write an inequality to indicate between which two numbers the length of the third
CaHeK987 [17]

Answer:

1. 5 <3rd side<21 2. 12.1<3rd side<35.1

Step-by-step explanation:

;-)

5 0
2 years ago
Can someone tell me how to do this?<br> Or can you do it for me?
dybincka [34]

Answer:

multiply 5*8 and you will get the answer... 40cm

8 0
3 years ago
Two points on a line are ( 3, 8 )and ( -3, 2 ). What is the slope of the line?
professor190 [17]

Answer:

1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-8)/(-3-3)

m=-6/-6

m=1

8 0
2 years ago
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