Answer:
It 6
Step-by-step explanation:
The angles with measurements equal to 3x+3 and 2x+22 should add up to 180°. This is because the angle which measures 2x+22 and the angle that is adjacent to the angle measuring 3x+3 are supposed to be congruent. If we mathematically translate the concept above, this can be expressed as,
3x + 3 + 2x + 22 = 180
Combining like terms,
(3x + 2x) + (3 + 22) = 180
Simplifying,
5x + 25 = 180
Transpose the constants to only one side of the equation,
5x = 155
Divide the equation by 5.
x = 31
<em>ANSWER: x = 31</em>
4. is correct
5. A is correct
6. B is correct
Answer:
4.24
Step-by-step explanation:
remember a² + b² = c²
(3*(sqrt(2))² + (3*(sqrt(2))² = 18
this would be c²
square root of this is c = 4.2426...
Solution for 47 is what percent of 61:
47:61*100 =
(47*100):61 =
4700:61 = 77.05
Now we have: 47 is what percent of 61 = 77.05
Question: 47 is what percent of 61?
Percentage solution with steps:
Step 1: We make the assumption that 61 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=61$100%=61.
Step 4: In the same vein, $x\%=47$x%=47.
Step 5: This gives us a pair of simple equations:
$100\%=61(1)$100%=61(1).
$x\%=47(2)$x%=47(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{61}{47}$
100%
x%=
61
47
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{47}{61}$
x%
100%=
47
61
$\Rightarrow x=77.05\%$⇒x=77.05%
Therefore, $47$47 is $77.05\%$77.05% of $61$61.
