Answer:
82° because
98° + 70° = 168°
360° - 168° = 192°
192° is for two angles, so it can't be 192°, 220°
it's not VERY obtuse angle. So it remains only 82°
First you need to know the definition of a complementary angle. That means that two angles add up to 90 degrees, or a right angle.
To find an angle complementary to a 78 degree angle, you need to subtract 78 from 90.
90 - 78 = 12
Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.
Step-by-step explanation:
Given,
Chocolate used to make 200 ml of chocolate sauce = 30 grams
Ratio of chocolate to milliliters of chocolate sauce = 30:200
Let,
x be the milliliters of sauce made from 450 grams of chocolate
Ratio of chocolate to ml of sauce = x:450
Using proportion;
Ratio of chocolate to ml of sauce:: ratio of chocolate to ml of sauce

Product of extreme = Product of mean

Dividing both sides by 30

450 grams of chocolate will make 3000 milliliters of chocolate sauce.
We will convert this in liters.
1 liter = 1000 ml
3000 ml =
= 3 liters
Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.
Keywords: ratio, proportion
Learn more about proportion at:
#LearnwithBrainly
Answer:
L = 48
Step-by-step explanation:
Given that L varies directly with Z² , then the equation relating them is
L = kZ² ← k is the constant of variation
To find k use the condition L = 12 when Z = 2 , then
12 = k × 2² = 4k ( divide both sides by 4 )
3 = k
L = 3Z² ← equation of variation
When Z = 4 , then
L = 3 × 4² = 3 × 16 = 48
Answer:
c. 5x + 25
Step-by-step explanation:
5( x + 5)
5×x + 5×5
5x + 25