1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Firlakuza [10]
3 years ago
15

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~).

You might be interested in
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°

5 0
3 years ago
Old balance: $1,835.94
Ne4ueva [31]

Answer i have no clue

Step-by-step explanation:

5 0
3 years ago
If you do online classes for money hit me up<br> ill pay you 200 I'm not even joking around
Shalnov [3]
What grade are you in?
6 0
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
Other questions:
  • Can someone please answer this with steps
    11·1 answer
  • The area of a square is equal to twice the perimeter of the square. find the perimeter of the square.
    15·1 answer
  • If you can download 6 songs for $4.68, then how much would 10 songs cost.
    6·2 answers
  • What is the discriminant of 372 - 10x = -2
    10·1 answer
  • 60 = a(0 + 5)(0 + 3)
    12·1 answer
  • Given r= 8 and ø=1.85pi, find the Cartesian coordinates. Check your answer.
    12·2 answers
  • What is the inverse for F(x)=-4/5x+1/5
    13·1 answer
  • Https://brainly.com/question/23389243?answeringSource=feedPublic%2FhomePage%2F21
    8·1 answer
  • Wednesday, Diana made y dollars per hour for 8 hours of work. Thursday, she made y dollars per hour for 4 hours of work. She als
    8·1 answer
  • Help. i don’t understand. i need to graph this. graph the inequality
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!