<h3>
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We know that, Two angles are said to be complementary, if the sum of their measures is 90°.
<u>According to the Question</u>,
⇒ ∠ABD + ∠DBC = 90°
⇒ (2x + 30)° + (3x + 20)° = 90°
⇒ 2x + 30° + 3x + 20° = 90°
⇒ 5x + 50° = 90°
⇒ 5x = 90° - 50°
⇒ 5x = 40°
⇒ x = 40°/5
⇒ x = 8
<u>So</u>, <u>t</u><u>he measure of each angle will be</u>,
⇒ ∠ABD = (2x + 30)°
= 2 × 8 + 30°
= 16 + 30°
= 46°
⇒ ∠DBC = (3x + 20)°
= 3 × 8 + 30°
= 24 + 30°
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= 54° ▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>
Answer:
32+78+x=180
Step-by-step explanation:
All triangle angles add up to 180, so add 78 and 32 then subtract it from 180 to get x, which in another form is 32+78+x=180.
Answer:the answer isn’t on edginuity
Step-by-step explanation:
Answer:
This person have a 29 % probability to receive a speeding ticket
Step-by-step explanation:
The probability of receive a speeding ticket in one of the traps is equal to the probability of going through that trap during the operation time of the trap.
Like we have four traps, and the probabilities are independent, then the probability of receive a speed ticket in one of them, is the sum of the probability for each trap.
P=P1+P2+P3+P4
The probability of going through a trap during the operation time is obtained by multiplying the probability of passing through the trap by the frequency of operation
Frequency of operation:
TL1 ⇒ 40 % = 0.4
TL2 ⇒ 30 % = 0.3
TL3 ⇒ 20 % = 0.2
TL4 ⇒ 30 % = 0.3
Probability of passing through these locations
PL1 ⇒ 0.3
PL2 ⇒ 0.2
PL3 ⇒ 0.4
PL4 ⇒ 0.1
then,
P1= TL1*PL1
P2= TL2*PL2
P3= TL3*PL3
P4= TL4*PL4
and
P = TL1*PL1 + TL2*PL2 + TL3*PL3 + TL4*PL4 = 0.12 + 0.06 + 0.08 + 0.03 = 0.29 = 29 %
This person have a 29 % probability to receive a speeding ticket
Answer: a. 30x^2 − 26x − 12
First write the equation in a form to better help visualize.
(5x - 6)(6x + 2)
Then use distributive property on the second binomial from the first binomial. <em>You multiply 5x by 6x and 2, then multiply -6 by 6x and 2.</em>
5x * 6x = 30x^2 (The answer is raised to the power of 2 because you're adding the invisible exponents, aka exponents of 1)
Then multiply 5x by 2
5x * 2 = 10x
Then you repeat the process but with -6 instead of 5x.
-6 * 6x = -36x (It is not raised to a power of 2 because -6 does not have a variable to include the invisible exponent)
-6 * 2 = -12
Now take all of your answers and put them into 1 equation by the order you did them.
30x^2 + 10x - 36x -12
But wait! The answer can still be simplified. All you have to do is combine like terms. <em>However 30x^2 can't be combined with 10x because 10x isn't raised to the second power, terms can only be combined if they have the same variable and exponent.</em>
30x^2 + (10x - 36x) - 12
30x^2 - 26x - 12
