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
Ghella [55]
2 years ago
10

Which of the following statements is true if m∠E = m∠Y and m∠F = m∠X?

Mathematics
2 answers:
babymother [125]2 years ago
5 0

Answer:

We always apreciate an explination, but the simple answer is: ΔEFG ~ ΔYXZ

Step-by-step explanation:

I'm taking the test.

mars1129 [50]2 years ago
3 0

Answer:

segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX

Step-by-step explanation:

see the attached figure to better understand the problem  

we know that  

If m∠E = m∠Y and m∠F = m∠X  

then  

Triangles EFG and YXZ are similar by AA Similarity Theorem  

Remember that  

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent  

In this problem  

The corresponding sides are  

FE and XY  

EG and YZ  

GF and ZX  

so therefore  

segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX Firstly , let us learn about trigonometry in mathematics.  

Suppose the ΔABC is a right triangle and ∠A is 90°.  

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

Let us now tackle the problem!  

A similar triangle has the same angle, in other words the triangle has the same shape but different sizes.  

From the figure in the attachment , we can conclude that:  

m∠E = m∠Y  

m∠F= m∠X  

m∠G = m∠Z  

∴ ΔEFG ~ ΔYXZ  ( ΔEFG is similar to ΔYXZ )    

Because of the similarity , then:  

FE : XY = EG : YZ = GF : ZX  

Conclusion:

ΔFG is similar to ΔYXZ.  

Segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX , i.e:    

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle

You might be interested in
In the trapezoid, what is the measure of 1?
Setler [38]

Answer:

95

Step-by-step explanation:

4 0
2 years ago
haily brought m pencils for $0.50 each and n pens for 0.75 each. She spent 0.5m+0.75n dollars. what does the term 0.75n represen
SpyIntel [72]

Answer:

It represents n pens bought

6 0
1 year ago
A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost
Natasha2012 [34]

The baker bought 7 gala apples, and 12 granny smiths apples

<em><u>Solution:</u></em>

Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

Cost of 1 gala apple = $ 0.30

Cost of 1 granny smith apple = $ 0.25

<em><u>A baker buys 19 apples of two different varieties to make pies</u></em>

Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

<em><u>The total cost of the apples is $5.10</u></em>

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

x \times 0.30 + y \times 0.25 = 5.10

0.3x + 0.25y = 5.1 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

x = 19 - y ---------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

y = 12

<em><u>Substitute y = 12 in eqn 3</u></em>

x = 19 - 12

x = 7

Thus the baker bought 7 gala apples, and 12 granny smiths apples

6 0
3 years ago
8x(12+7-9)-(4+10) what’s the answer
navik [9.2K]

Equation- 8x(12+7-9)-(4+10)

Answer- 80x−14

6 0
2 years ago
Sari applied the distributive property using the greatest common factor to determine the expression that is equivalent to 84 + 4
valentina_108 [34]
Sari did not use the greatest common factor in the equation.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Javier filled a measuring cup with 2/3 of a cup of vegetable oil. Then he poured 1/3 of a cup
    15·1 answer
  • In a scale drawing, a plane has a length of 35 centimeters.
    10·1 answer
  • A researcher interested in weight control wondered whether normal and overweight individuals differ in their reaction to the ava
    11·1 answer
  • Which is the graph of y = (x – 1)4 – 3?
    11·1 answer
  • You want a snack. One cookie has 130 calories. An orange has 35 calories. What is the ratio of the calories in an orange to the
    13·2 answers
  • In the formula rt = d, r is is rate t is time , and d is distance what is the rate for a runner who complete 7.5 miles in 1.5 ho
    11·2 answers
  • What number is shown by the model?<br> A. 28<br> B. 2080<br> C. 208<br> o<br> D. 280
    15·2 answers
  • What are the difference in finding the cirumference circle and finding the area of circle
    8·1 answer
  • Please help i’ll rate brainliest too
    15·1 answer
  • The recommended number of flowers to plant in a garden is proportional to its area, as shown in the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!