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3 years ago

Which of the following theorems verifies that angle DEF ~ angle XZY?

Mathematics

1 answer:

klasskru [66]3 years ago

8 0

Step-by-step explanation: In this problem, notice that we're only given one pair of congruent angles, the 90 angles, but remember that the sum of the measures of the angles of a triangle is 180°.

So we can determine that the measure of the missing angle

of our first triangle is 40° because 90 + 50 + 40 = 180.

Now we have two pairs of congruent angles,

the 40° angles, and the 90° angles.

Therefore, since two of the angles of one triangle are congruent to

two of the angles of the other triangle, we can say that yes, the

triangles are similar by the Angle-Angle Similarity Postulate (AA~).

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Help someone <br> Work and correct = brainlist

EastWind [94]

13.

<3 = 180 - <1

<3 = 180 - 90

<3 = 90°

14.

<8 = 180 - <6

<8 = 180 - 137

<8 = 43°

15.

<4 = 180 - <2

<4 = 180 - 34

<4 = 146°

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3 years ago

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Ne4ueva [31]

Answer i have no clue

Step-by-step explanation:

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3 years ago

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3 years ago

What percent of 75 is 40

9966 [12]

The answer is: " 53 $\frac{1}{3}$ % " .

__________________________________________

→ " 53 $\frac{1}{3}$ % " of 75 is "40" .

__________________________________________

Explanation:

To solve:

$\frac{x}{100}$ * 75 = 40 ;

→ Rewrite as:

$\frac{x}{100}$ * $\frac{75}{1}$ = 40 ;

→ The "100" cancels to "4" ; and the "75" cancels to "3" ;

→ {since: "{100 ÷ 25 = 4}" ; and since: "{75 ÷ 25 = 3"} ;

→ So; we rewrite the problem as:

→ $\frac{x}{4}$ * $\frac{3}{1}$ = 40 ;

→ which is:

$\frac{x}{4}$ * 3 = 40 ;

→ Divide each side of the equation by "3" ;

$\frac{x}{4}$ * 3 ÷ 3 = 40 ÷ 3 ;

to get:

→ $\frac{x}{4}$ = $\frac{40}{3}$ ;

Now, cross-multiply:

→ 3x = (4)*(40) ;

→ 3x = 160 ;

Divide each side of the equation by "3" ;

to isolate "x" on one side of the equation; & to solve for "x" ;

→ 3x / 3 = 160 / 3 ;

to get:

→ x = 53 $\frac{1}{3}$ .

______________________________

6 0

4 years ago

The parabola has a focus at (-3,0) and directrix y=3. What is the correct equation for the parabola?

Lilit [14]

Answer:

$y = - \frac{1}{12} {x}^{2}$

Step-by-step explanation:

We want to find the equation of a parabola withfocus at (-3,0) and directrix y=3.

This para has its vertex at the origin and opens downward.

The equation is of the form

${x}^{2} = - 4py$

Where p is the distance from the vertex to the focus.

This distance is p=|0-3|=3

We substitute p=3 to obtain:

${x}^{2} = - 4 \times 3y$

${x}^{2} = -12y$

Hence the equation is

$y = - \frac{1}{12} {x}^{2}$

3 0

4 years ago