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>
Answer:
y = 4x - 5
Step-by-step explanation:
for slope intercept form
y = mx + c
where m is the slop so
M = 4
point = (1, -1)
a point on the line must satisfy the equation so replacing y and x by -1 and 1 respectively to get to c.
-1 = 4 × 1 + c
-1 - 4 = c
-5 = c
placing these values in y = mx + c
y = 4x - 5
Answer:
%231
Step-by-step explanation:
To get a percent, just multiply the decimal by 100 to get the percent.
<u>Example: Convert 0.5 into a percentage</u>
0.5 * 100
%50
<u>Problem: Convert 2.31 into a percentage</u>
2.31 * 100
<em>%231</em>
<em />
Answer: %231
Answer:
The answer to your question is: third option is correct.
Step-by-step explanation:
The correct answer is: Jacob's rate is two more than one-third Marc's rate.
First option is: 3r + 2
Second option is: 2 + 3r
Fourth option: 1/3 r - 2
