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
Sphinxa [80]
3 years ago
11

If sin(y°) = cos(x°), which of the following statements is true?

Mathematics
2 answers:
Lorico [155]3 years ago
6 0

Answer: y = w and ΔABC ~ ΔCDE

Step-by-step explanation: Took the test and the answer was marked correct

Firdavs [7]3 years ago
4 0

Answer:

<u>y = w and ΔABC ~ ΔCDE</u>

Step-by-step explanation:

Given sin(y°) = cos(x°)

So, ∠y + ∠x = 90°  ⇒(1)

And as shown at the graph:

ΔABC is aright triangle at B

So, ∠y + ∠z = 90° ⇒(2)

From (1) and (2)

<u>∴ ∠x = ∠z </u>

ΔCDE is aright triangle at D

So, ∠x + ∠w = 90° ⇒(3)

From (1) and (3)

<u>∴ ∠y = ∠w</u>

So, for the triangles ΔABC and ΔCDE

  • ∠A = ∠C  ⇒ proved by ∠y = ∠w
  • ∠B = ∠D  ⇒ Given ∠B and ∠D are right angles.
  • ∠C = ∠E  ⇒ proved by ∠x = ∠z

So, from the previous  ΔABC ~ ΔCDE by AAA postulate.

So, the answer is <u>y = w and ΔABC ~ ΔCDE</u>

You might be interested in
What expression is equivalent to 3-(-2+5)
maxonik [38]

Answer:

Ok ok, I see. So the answer is -9.

Step-by-step explanation:

We know the expresion is:

-3(-2+5)

We need to distrubute the -3 to what is in the parthese.

When I say distribute, basically you need to multiply the numbers inside the parethese by -3. So we can think of it as:

-3*-2=6

and:

-3*5=-15

Which we can rewrite as:

(6-15)

Subtract 15 from 6 and you get -9:

6-15=-9

Sorry hope this helps!

4 0
2 years ago
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
xenn [34]

Answer:

9(1 +6)

Step-by-step explanation:

9 = 9 * 1

54 = 9 * 6

9 + 54 = (9*1 ) + (9*6)      {9 is common in both terms}

           = 9*(1 + 6)

7 0
3 years ago
How do i solve log_8(5x+4)=3x-4
Keith_Richards [23]

Answer:

use a calculator

Step-by-step explanation:

3 0
3 years ago
Ax + bx - 15 = 0;x<br> How do you solve this?
Pani-rosa [81]

Answer:

Step-by-step explanation:

ax+bx-15=0\\=> (a+b)x-15=0\\=>(a+b)x=15\\=>x=\frac{15}{(a+b)}

7 0
3 years ago
What is y-4= -2(x+7) written in standard form
belka [17]

Answer:

2x + y = -10

Step-by-step explanation:

Simplify −2(x+7)

y−4=−2x−14

Move all terms containing variables to the left side of the equation.

2x+y−4= −14

Move all terms not containing a variable to the right side of the equation.

2x + y = −10

Hope this helps

7 0
3 years ago
Other questions:
  • Look at image and solve​
    9·2 answers
  • A football team won 33 games in the first three seasons the team played a total of 48 games over the three seasons how many game
    5·1 answer
  • Please help thanks :)
    15·1 answer
  • Pearl got a job through an employment agency. this job pays $54,670 and the agency fee is equal to 25% on one months pay.
    8·2 answers
  • What are Interquartile range
    9·1 answer
  • Solve for t. 4=t/2.5, t=
    14·2 answers
  • I don't understand :(
    15·1 answer
  • apply the Pythagorean theorem to find the distance between two points (to the nearest tenth). which statements are correct
    10·2 answers
  • Omg please help im in quiz pleaseeeeeee​
    5·2 answers
  • PLEASE!! HELP
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!