4x = 76
Where x is how many awnsers he got correct and 4 how many points each correct question awnsered.
Now you just have to isolate x by dividing both sides of the equation by 4
4x/4 = 76/4
x = 19
So he got 19 questions right and 10 awnsers wrong. In total there were 29 questions on his test
The given number which is 2A193A411 is written in Base 11. Base 11 number is also called undecimal system. The digits of Base 11 number are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Since 10 is not accepted as a digit, then we have to substitute a variable which is A = 10. Hence, the digits of a Base 11 number are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and A.
Answer:
3 45/55 or 3 9/11
Step-by-step explanation:
convert each term to an improper fraction
42/5 divided by -11/5
dividing fractions is the same as multiply by reciprocal of the second term
42/5 x -5/11 = -210/55
Answer:
166°
Step-by-step explanation:
Let's label our triangle.
We'll name the left one, next to ∠x, ∠A.
The bottom one, next to the 97°, ∠B.
And the top one, ∠C.
We know what angle ∠A is because its a supplementary angle to the 97° one.
180° - 97° = 83°
We know that the triangle is isosceles, so that gives us ∠C as well. 83°
∠A is the last remaining angle.
The sum of the angles to our ΔABC is 180°.
∠A = 180° - ∠B - ∠C
∠A = 180° - 83°- 83°
∠A = 14°
∠x and ∠A are supplementary angles!
∠x = 180° - ∠A
∠x = 180° - 14°
∠x = 166°
Hint: The rule of the 45-45-90 triangle is that both sides are x and the hypotenuse is x√2.
x = 5√2
To find the hypotenuse you multiply x by √2.
5√2 (√2)
5√4
5 (2)
10
The hypotenuse is 10.
