Step 1: Simplify both sides of the equation.
3(x−5)−5=23
(3)(x)+(3)(−5)+−5=23(Distribute)
3x+−15+−5=23
(3x)+(−15+−5)=23(Combine Like Terms)
3x+−20=23
3x−20=23
Step 2: Add 20 to both sides.
3x−20+20=23+20
3x=43
Step 3: Divide both sides by 3.
3x
/3 = 43
/3
x=
43
/3
Answer:
∠ACB = 28.5
Step-by-step explanation:
In triangle ABC,
angle CAB = x-3
angle ABC = 4X-3
It is also given that AB=CB
We know that if two sides of any triangle are equal then corresponding sides must also be equal.
Hence
angle ACB = angle CAB
angle ACB = x-3 {Given that angle CAB = x-3 }
We know that sum of all three angles of a triangle is 180 degree so let's add given angles
angle ACB + angle CAB + angle ABC = 180
(x-3) + (x-3) + (4x-3) = 180
x-3 + x-3 + 4x-3 = 180
6x-9 = 180
6x = 180+9
6x = 189
x = 189/9
x= 31.5
Now plug value of x into
angle ACB = x-3 = 31.5-3 = 28.5
Hence final answer is
∠ACB = 28.5
Answer:
Step-by-step explanation:
What did you include in your response? Check all that apply.
There would be an open circle at (2, 1). <u>Yes</u>
There would be a closed circle at (2, 3). <u>Yes</u>
There would be an open circle at (4, 3). <u>Yes</u>
There would be a closed circle at (4, −4). <u>Yes</u>
Endpoints that are not included in the domain of a particular piece of a function are represented by an open circle. <u>Yes</u>
Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
Answer:
67
Step-by-step explanation:
