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RUDIKE [14]
2 years ago
7

Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right

angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b. What is the value of a? 5 units 5 and one-third units 6 and two-thirds units 7 units
Mathematics
1 answer:
saw5 [17]2 years ago
6 0

Answer:

5 and one-third units

Step-by-step explanation:

In the given question, we are given the following values:

The length of W Y = 4

The length of Y X = a

The length of Z Y = 3

We are to find a

From the describe diagram above, we would have the following

WY:ZY = YX :WY

WY/ ZY = YX/WY

4/3= a/4

Cross Multiply

4× 4 = 3a

Divide both sides by 3

a = 16/3

a = 5 1/3 units

a = 5 and one third units

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An ostrich can run 6 mph faster than a giraffe. An ostrich can run 7 miles in the same time that a giraffe can run 6 miles. Find
LUCKY_DIMON [66]

NOTE THIS IS AN EXAMPLE:

Let t = time, s = ostrich, and g = giraffe.

Here's what we know:

s = g + 5 (an ostrich is 5 mph faster than a giraffe)

st = 7 (in a certain amount of time, an ostrich runs 7 miles)

gt = 6 (in the same time, a giraffe runs 6 miles)

 

We have a value for s, so plug it into the first equation:

(g + 5)t = 7

gt = 6

 

Isolate g so that we can plug that variable value into the equation:

g = 6/t

so that gives us:

(6/t + 5)t = 7

Distribute:

6 + 5t = 7

Subtract 6:

5t = 1

Divide by 5:

t = 1/5 of an hour (or 12 minutes)

 

Now that we have a value for time, we can plug them into our equations:

1/5 g = 6

multiply by 5:

g = 30 mph

 

s = 30 + 5

s = 35 mph

 

Check by imputing into the second equation:

st = 7

35 * 1/5 = 7

7 = 7

5 0
2 years ago
Which product is positive?
Virty [35]

Answer:

(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction)

Step-by-step explanation:

(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction) = (-2/5)(-8/9)(1/3)(2/7)

Let's take the fraction and eliminate the negative sign because negative multiply negative= positive

(-2/5)(-8/9)(1/3)(2/7)= 32/945

4 0
2 years ago
Read 2 more answers
S/2t=10 solve for t.
Mandarinka [93]
S/2t=10
Muliply both sides by 2t
s=20t
Divide both sides by 20 to isolate the t
Answer:
t=s/20
or
t=1/20×s
No difference between the two.

Ex: if "s" was 3, t=3/20=0.15, or t=1/20×3=0.15.


6 0
2 years ago
the solution to the system of equation below is (−2, −1). 2x − 3y = −1 11x − 9y = −13 when the first equation is multiplied by −
Evgen [1.6K]
When the first equation is multiplied by -3, the sum of the two equation and any of the original equations will have the same solution as the original equations. Hence 5x = -10 and 11x - 9x = -13 will have a solution of (-2, -1).
6 0
2 years ago
Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = -3x2 - 36x - 60?
MatroZZZ [7]

Answer:

A) The graph of f(x) = x2 is made narrower.

Step-by-step explanation:

The transformed graph has equation:

g(x) =  - 3 {x}^{2}  - 36x - 60

To see the transformations clearly, we need to rewrite the function in the vertex form:

g(x) =  - 3( {x}^{2}  + 12x) - 60

g(x) =  - 3( {x}^{2}  + 12x + 36) - 60  + 3 \times 36

g(x) =  - 3( {x} + 6)^{2}   + 48

Therefore, the graph of the original function is made narrow of the multplier, 3.

The correct answer is A

5 0
2 years ago
Read 2 more answers
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