We are given : -3(4-6x) < x+5.
Solution: -3 is in front of Parenthesis.
We need to multiply -3 by (4-6x).
So, we need to applying distributive property.
On distributing, we get
-12+18x < x+5 (By distributive property)
The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get
-12+18x-x < x-x+5 (By subtraction property of equality).
-12+17x < 5
Now, we need to get rid -12 from left side.
So, we need to apply addition property of equality, we need to add 12 on both sides, we get
-12+12+18x < x+5+12 (By addition property of equality)
17x < 17
We need to get rid 17 from left side. So we need to apply division property of equality.
On dividing both sides by 17, we get
17x/17 < 17/17 (By division property of equality)
x < 1.
Answer:
a) Yes
b) No
c) Yes
d) No
e) No
Step-by-step explanation:
Right triangle:
The square of the larger side is equals to the sum of the squares of the smaller sides.
a. 6, 8, 10
The answer is yes.
b. 8, 15, 16
So no.
c. 10, 24, 26
So yes
d. 20, 21, 28
So no.
e. 9, 35, 41
Answer:
The cost is $322.88.
Step-by-step explanation:
18% off the list price of $375
Before the sales tax, you pay 100% - 18% = 82% = 0.82 of 375, so:
0.82*375 = 307.5
5% sales tax:
100% + 5% = 105% = 1.05 of 307.5. So
307.5*1.05 = 322.88
The cost is $322.88.
Answer:
it's 3/50
Step-by-step explanation:
Given:
AB is the diameter of a circle.
m∠CAB = 26°
To find:
The measure of m∠CBA.
Solution:
Angle formed in the diameter of a circle is always 90°.
⇒ m∠ACB = 90°
In triangle ACB,
Sum of the angles in the triangle = 180°
m∠CAB + m∠ACB + m∠CBA = 180°
26° + 90° + m∠CBA = 180°
116° + m∠CBA = 180°
Subtract 116° from both sides.
116° + m∠CBA - 116° = 180° - 116°
m∠CBA = 64°
The measure of m∠CBA is 64°.
