Answer:
x = 20
Step-by-step explanation:
Since ΔACB ≅ ΔDCE then ∠A ≅ ∠D, that is
3x - 10 = 2x + 10 ( subtract 2x from both sides )
x - 10 = 10 ( add 10 to both sides )
x = 20
#1. B
<span>(z * z^2 + z * 2z + z * 4) – (-2 *z^2 – (-2) 2z – (-2) 4)
Z^3 + 2z^2 + 4z – 2z^2 -4z – 8
Z^3 + 2z^2 – 2z^2 + 4z – 4z – 8
Z^3 - 8
</span>
#2 and #3. D
<span>(x + y)(x + 2)
x^2 + 2x + yx + 2y
</span>
#4. D.
<span>(x - 7)(x + 7)(x- 2)
x^2 + 7x – 7x -49
x^2 + x – 49
x^2 -49
(x^2 – 49 ) (x – 2)
x^3 – 2x^2 – 49x + 98
</span>
#5. C
(y - 4) = 0
y = 4
(x + 3)= 0
x = -3
#6. A and B
Answer:
24 years
Step-by-step explanation:
let jiri's age be x
Pamela's age=x-15
x+x-15=33
2x-15=33
collect the like terms to similar places
2x=33+15
2x=48
x=24
Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 10, 1, 10, 15, 1, 7, 10, 10, 1, 6
klemol [59]
First order the data:
1, 1, 1, 6, 7, 10, 10, 10, 10, 13, 15
the mean is all the numbers added together divided by how many there are, 1 + 1 + 1 + 6 + 7 + 10 + 10 + 10 + 10 + 13 + 15 = 84 84/11 = 7.636364 ≈ 7.6
the median is the number in the middle of the list, count numbers from each end, until you either have one or two left, if one left then its that one, if two left then its half way between the two
the median for your set is 10
The mode is the most common number, in your set 10
Answer:
x = 34
Step-by-step explanation:
∠ PSR and ∠ TSU are vertical angles and congruent, then
∠ PSR = 4x, thus ∠ PSQ = x
The exterior angle of a triangle is equal to the 2 opposite interior angles.
∠ SQR is an exterior angle of Δ PQS , thus
x + x = 68
2x = 68 ( divide both sides by 2 )
x = 34
