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3 years ago

Enter the values of x, y, and z. The diagram is not to scale.

Mathematics

1 answer:

nydimaria [60]3 years ago

8 0

Answer:

x = 86

y = 67

z = 94

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

38 + 56 + x = 180

94 + x = 180 subtract 94 from both sides

x = 86

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:

56 + 38 = 94

again the sum of interior angles in a triangle is equal to 180:

19 + z + y = 180 we found z as 94

19 + 94 + y = 180

113 + y = 180 subtract 113 from both sides

y = 67

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The angle of elevation of the top of a tower from two points 121 m and 144 m away from the foot of the tower on th same side are

Dennis_Churaev [7]

Answer:

132 m

Step-by-step explanation:

Refer to attachment for figure.

In smaller triangle with angle theta , we have ,

⇒ tanθ = p/b

⇒ tanθ = h/121m

⇒ tanθ = h/121 m

In triangle with angle 90-∅

⇒ tan(90-θ) = p/b

⇒ cot θ = h/144 m

Multiplying these two ,

=> tanθ . cotθ = h/121 m × h/144m

=> 1 = h²/ (121 m × 144m )

=> h² = 121m × 144m

=> h= √ ( 121m × 144m)

=> h = 11m × 12m

=> h = 132 m

6 0

3 years ago

What is a factor of X2–9 X +14

Taya2010 [7]

The factors of the expression x^2 - 9x + 14 are (x - 7) and (x - 2)

<h3>How to factor the expression?</h3>

The expression is given as:

x^2 - 9x + 14

Expand

x^2 - 2x - 7x + 14

Factorize the expression

x(x - 2) - 7(x - 2)

Factor out x - 2 from the expression

(x - 7)(x - 2)'

Hence, the factorized expression of x^2 - 9x + 14 is (x - 7)(x - 2)'

Read more about expressions at:

brainly.com/question/723406

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5 0

1 year ago

What is the simplified form of the quantity 4 x squared minus 25 over the quantity 2x minus 5 ?

Alenkasestr [34]

Answer:

B. 2x + 5, with the restriction x ≠ five over 2

Step-by-step explanation:

The given expression is the difference of squares, so factors as ...

the product of the quantity 2x plus 5 and the quantity 2x minus 5 over the quantity 2x minus 5

You will note that the numerator and denominator have a common factor:

the quantity 2x minus 5

Factoring that out gives ...

2x + 5, with the restriction x ≠ five over 2 (x is restricted from being a value that makes the denominator zero.)

_____

Comment on the form of the answer

Since you have written your math expressions using words instead of symbols, we assume you can read them more easily that way. So, we have provided the explanation in the form you can most easily understand. (Personally, I prefer math symbols. They are more compact and tend to be less ambiguous.)

7 0

3 years ago

Read 2 more answers

By what percent will a fraction change if its numerator is decreased by 20% and its denominator is decreased by 60%?

Vedmedyk [2.9K]

Answer:

The fraction will increase by 100%

Step-by-step explanation:

Say the fraction is x/y. The question is telling us to decrease x by 20% (i.e. 0.8x) and to decrease y by 60% (i.e. 0.4y):

$= \frac{0.8x}{0.4y}\\= 2 (\frac {x}{y})$