Answer:
x= 14/9 = 1 5/9
Step-by-step explanation:
Use the distributive property to multiply 2 by 5x−3.
2(5x−3)−4=x+4
Subtract 4 from −6 to get −10.
10x−6−4=x+4
Subtract x from both sides
10x−10=x+4
Combine 10x and −x to get 9x.
10x−10−x=4
Add 10 to both sides.
9x−10=4
Divide both sides by 9.
x= 14/9
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Answer:
(0 , -1)
Step-by-step explanation:
WR = 4 + 2 = 6
WS = 1/3 x WR = 2 .... the point of 1:2 of WR
S (-2 + 2 , -4) i.e. (0,4)
The same reason: RQ = 1/3 x RY = 1/3 x (5 + 4) = 3
Q (-4 , -4 + 3) i.e. (-4, -1)
QP // RW
p (0 , -1)
Answer:
r=−5.3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7.4r−6.31=3.23−5.6r
−7.4r+−6.31=3.23+−5.6r
−7.4r−6.31=−5.6r+3.23
Step 2: Add 5.6r to both sides.
−7.4r−6.31+5.6r=−5.6r+3.23+5.6r
−1.8r−6.31=3.23
Step 3: Add 6.31 to both sides.
−1.8r−6.31+6.31=3.23+6.31
−1.8r=9.54
Step 4: Divide both sides by -1.8.
−1.8r/−1.8=9.54/−1.8
r=−5.3
Answer:
-6
Step-by-step explanation:
the x value is just plugging that number in for x so
-3x-8=10 (add 8 to both sides) so
-3x=18 (divide by -3 on both sides) so
x=-6
Given:
Intersecting lines DA and CE.
To find:
Each pair of adjacent angles and vertical angles.
Solution:
Adjacent angles are in the same straight line.
<u>Pair of adjacent angles:</u>
(1) ∠EBD and ∠DBC
(2) ∠DBC and ∠CBA
(3) ∠CBA and ∠ABE
(4) ∠ABE and ∠EBD
Vertical angles are opposite angles in the same vertex.
<u>Pair of vertical angles:</u>
(1) ∠EBD and ∠CBA
(2) ∠DBC and ∠EBA