Answer:
7/165
Step-by-step explanation:
This is a mixed recurring decimal (the zero is not repeating)
We take number after the decimal point 042
then we subtract the non repeating.In this case is 0 so we not subtract anything
This will be the numerator 42
Now ,the denominator:
For each repeating decimal we write a 9 (in this case 2 nines)
For each non repeating decimal we write a zero
Denominator is 990
42/990 = 7/165
7:165 = 0.0424242......
Answer:
Step-by-step explanation:
1.From the given triangle, ABC, using the proportionality theorem, we get
⇒
⇒
Thus, the height will be 25 feet.
2.
Statement Reason
1.∠C≅∠E Given
2. ∠ABC≅∠DBE Vertically opposite angles
3. ΔABC is similar to ΔDBE AA similarity rule.
Answer:
(- 4, 27 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides
x² - 16 = 0 ← in standard form
(x - 4)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
Substitute these values into f(x) = - 2x + 19
f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )
f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )
By the general application of cumulative property of addition :
x + y = y + x
For sure
