When two triangles are similar, then the ratios of their corresponding sides will be equal:
so 2.4/3 = 2.8/x = y/4.5
Use the ratio that involves the x and the two values that are given:
2.4/3 = 2.8/x
Then, solve the equation for x to find the missing side:
2.4/3 = 2.8/x
(2.4 / 3 ) x = 2.8
x = 2.8 / (2.4/3)
x = 3.5
The correct option is A.
Step-by-step explanation:
The digital root of a number is the single digit that you get by adding all of the digits of the original number together. If the result of that is multiple digits, you add those digits together, repeating the process until you get a single digit. That digit is the digital root of the original number.
example given
257520643
2+5+7+5+2+0+6+4+3
7+12+2+10+3
7+1+2+2+13
8+4+1+3
8+4+4
12+4
16
1+6=7
Let's do process of elimination
a) 2 is part of the set and 2 is not greater than 2. NO
b) 5 and 10 in the set are divisible by 5. NO
c) 2,4,6,8,10 are even but the rest are odd ( BUT note the word "or"). the rest are less than 12. YES
d) 0 and 1 are the only numbers that are neither prime nor composite (they're not even part of the set). NO
e) the square root of 9 is 3 so the maximum number is 9 (but what happened to 10?) NO
Answer in fraction form = 1/20
Answer in decimal form = 0.05
Answer in percent form = 5%
These are three ways to express the same thing
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Explanation:
Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.
The probability of getting a lion rubber band is 1/4 for similar reasoning as above.
Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20
Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.
The answer is D
3*-42=-126
The factors of -126 that add to -11 are 7 and -18
replace -11h with 7h-18h
3h^2 + 7h - 18h - 42
Factor the first two terms and last two terms
h(3h+7) - 6(3h+7)
See how the two parentheses are the same?
THE ANSWER IS BELOW!!
(h-6)(3h+7)
the first parentheses has the terms that were outside, and the second has the original bracketed terms
This matches option D (it just multiplies the terms backwards, which gives the same result)
