-9x-6y=15
9x-10y=145
Find y first by eliminating the x.
Add the two equations together.
-9x+9x-6y+-10y=15+145
-6y+-10y=15+145
-6y-10y=160
-16y=160
divide both sides by -16 to get +y
-16y/-16=160/-16
y=-10
Use the substitution method to find x
-9x-6y=15
-9x-6(-10)=15
Do the bracket first
-9x+60=15
Move +60 to the other side. Sign changes from +60 to -60.
-9x+60-60=15-60
-9x=-45
Divide both sides by -9
-9x/-9=-45/-9
x=5
Answer:
( 5,-10)
Answer:
8x-99
Step-by-step explanation:
18+73-2+16+73=89
8x-10 - 89 = 8x-99
Answer:
The measure of angle HJK is 36°
Step-by-step explanation:
<em><u>In a circle</u></em>, <em>the measure of the inscribed angle equal half the measure of the central angle subtended by the same arc</em>
In circle J
∵ J is the center of the circle
∵ H and K lie on the circle
∴ ∠HJK is a central angle subtended by arc HK
∵ L lies on the circle
∴ ∠HLK is an inscribed angle subtended by arc HK
→ By using the rule above
∵ ∠HJK and ∠HLK are the central angle and inscribed angle
subtended by the same arc HK
∴ m∠HLK =
m∠HJK
∵ m∠HLK = 18°
∴ 18 =
m∠HJK
→ Multiply both sides by 2
∴ 36 = m∠HJK
∴ The measure of angle HJK is 36°
Answer: The mass of solid a is 4800 grams
Step-by-step explanation:
Hi, to answer this question we have to apply proportions:
For solid b = 40.32 cm2 / 6912 grams
For solid a = 28 cm2 / x grams
Where x is the mass of solid a.
So:
40.32 / 6912 = 28 / x
x = 28 / (40.32 / 6912)
x = 4800 grams
The mass of a is 4800 grams
Feel free to ask for more if needed or if you did not understand something.
20% of 65 = 65 * 1/5, which is 13. so 20% of 65 is $13. so a discount of 20% = 65-13 which is $52