The triangles are similar by SAS principle.
<h3>How to know similar triangles?</h3>
Similar triangles have the same shape but may have different sizes.
In similar triangles, corresponding sides are always in the same ratio.
The corresponding angles are congruent.
Therefore, using SAS ratio,
6 / 8 = 8 × 3 / 32
6 / 8 = 24 / 32 = 3 / 4
Therefore, the corresponding sides are a ratio of each other.
Therefore, the triangles are similar by SAS principles because the two triangles have two pairs of sides in the same ratio and the included angles are also equal
learn more on similar triangle here: brainly.com/question/21480885
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Answer:
A
Step-by-step explanation:
In order to compare all three numbers, you must change them all to have the same form, either all decimal form, all fraction, or all percentages.
The easiest ways to compare are decimal and percentage, as they're practically the same thing. For simplicities sake, though, let's turn all the numbers into decimal.
Since 0.85 is already in decimal form, leave it as it is.
3/4 can be turned into a decimal by putting it into a calculator, but intuitively you should know that it's 0.75. If you don't know a fraction intuitively, you just need to make the fraction into a multiple of denominator 100 and take the numerator. For example:
Numerator is 75.0, now simply move the decimal place up to to get the decimal form 0.75.
91% can be changed into a decimal by moving the decimal place left 2 places. 91.0% turns into 0.91.
Now that you can see the numbers, just rearrange them from least to greatest
0.75<0.85<0.91
equal to A
Answer:
x^2 + 8x + 16
Step-by-step explanation:
(x + 4) (x+ 4) multiply x by x and x by 4.
x^2 + 4x
Then multiply 4 by x and 4 by 4.
4x + 16
Then combine like terms.
x^2 + 4x + 4x +16
x^2 + 8x + 16
Answer:
Step-by-step explanation:
you know that both angles=180
6x+20+2x+4=180
8x+24=180
8x=180-24
8x=156
x=19.5
angle TQS=19.5*60+20=137
angle SQR=2*19.5+4=43
The probability of not drawing C in neither draw is P = 0.5
<h3>
How to get the probability?</h3>
All the cards have the same probability of being drawn, in this case, our set of cards is {F, D, C, G}
The probability of not drawing C is equal to the probability of drawing F, D or G. So we have 3 options out of 4, then the probability is:
p = 3/4.
Now we draw another, this time there are 3 cards, one of these is C, and the other two cards are not C. Then the probability of not drawing C again is equal to 2 over 3.
q = 2/3.
The joint probability (for both of these events to happen) is equal to the product of the individual probabilities:
P = p*q = (3/4)*(2/3) = 0.5
If you want to learn more about probability, you can read:
brainly.com/question/251701
