Answer:
QR=RS=QS=29
Step-by-step explanation:
Given QRS is an equilateral triangle, thus all the three sides of the given triangle will be equal.
Also, from the given statement, we have
QR=2x-7, RS=5x-61 and QS=11+X
Now, As all the sides of the triangle are equal, therefore
QR=RS=QS
⇒QR=RS
⇒2x-7=5x-61
⇒-7+61=5x-2x
⇒54=3x
⇒x=18
Thus, the measure of QR=2(18)-7=29,RS=5(18)-61=29 and QS=11+18=29.
Answer
23.70
Proof
3Q+5+2-8-5=65 ~ Simplify
3Q-6=65 ~Cancel out the six
+6 +6 ~Add 6 to both sides since it is a 3Q=71 negative.
/3 /3 ~Cancel out the three.
Answer ~Divide both sides by 3
Q=23.66
Rounded Up
Q=23.70
The two curves meet in the first quadrant when
Then the integral in question is
The probability of selecting two jelly-filled donuts in a row is 1/ 22
<h3>What is probability?</h3>
Probability is simply the chance that a given event will occur.
It is also the ratio of the number of outcomes in a set of equally likely outcomes that produce a given event to the total number of possible outcomes.
From the information given, we have that the donuts are:
- 6 are jelly-filled
- 10 are lemon-filled
- 8 are custard-filled
Note that two jelly - filled donuts were taken without replacement
Probability( 2 jelly -filled donuts) = 6 / 24 × 4/ 22 = 24/ 24 × 22 = 1/ 22
Thus, the probability of selecting two jelly-filled donuts in a row is 1/ 22
Learn more about probability here:
brainly.com/question/24756209
#SPJ1
Answer:
- The required value of q is 35.
Step-by-step explanation:
Let α and β are the zeros of quadratic equation, x^2−12x+q=0.
- It is given that difference between the roots of the quadratic equation x^2−12x+q=0 is 2.
Equation : α - β = 2
Equation : α + β = 12
Equation : αβ = q
We have to create an algebraic expression.
(a+b)² = (a-b)² + 4ab
(12)² = (2)² + 4q
144 = 4 + 4q
144 - 4 =4q
140=4q
q = 140/4
q = 35
Therefore, the required value of q is 35.
<u>Some information about zeroes of quadratic equation. </u>
- Sum of zeroes = -b/a
- Product of Zeroes = c/a
