Answer:
x = 14
< A = 58 degrees
< B = 52 degrees
< C = 70 degrees
Step-by-step explanation:
Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:
<A + <B + <C = 180
and now replace with the algebraic expressions given for each angle:
2(x + 15) + 3 x + 10 + 5 x = 180
eliminate parenthesis
2 x + 30 + 3 x + 10 + 5 x = 180
combine like terms
10 x + 40 = 180
subtract 40 from both sides
10 x = 140
divide both sides y 10 to isolate x
x = 14
Now that we know x, we can calculate each of the angles using the fiven expressions:
< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees
< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees
< C = 5 x = 5 * 14 = 70 degrees
Each time you guess, you have a 1 in 10 chance of getting it correct. Doing this 4 times means you divide by ten each time you guess. This means you have a 1/10,000 chance of getting it correct.
Answer: 8
Step-by-step explanation:
From the question, we are informed that Sandy has 6 sheets of colored paper and that she uses 4 sheets to make posters. Therefore she'll have 2 sheets of coloured paper left. This is gotten by : (6 - 4) = 2 sheets.
Since each rectangle is 1/4 of a sheet of colored paper, the number of greetings card that Sandy will make will be gotten by dividing 2 by 1/4. This will be:
= 2 ÷ (1/4)
= 2 × 4
= 8
Sandy will make 8 greeting cards
The probability that both of them have landed 5 is 1/7.
Two fair dice have been tossed,
The total of their top faces is found to be divisible by 5,
Probability is a branch of mathematics that deals with calculating the likelihood of a given event's occurrence, which is expressed as a number between 1 and 0.
The probability that both of them have landed 5 is
E={(x,y)|x+y=5 or x+y=10, 1≤x,y≤6},
F={(5,5)}.
P(F|E)= 1/7.
Hence, The probability that both of them have landed 5 is 1/7.
Learn more about probability here brainly.com/question/13016819
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Angle ABC is congruent to angle MNP
