Answer:
54
Step-by-step explanation:
To solve problems like this, always recall the "Two-Tangent theorem", which states that two tangents of a circle are congruent if they meet at an external point outside the circle.
The perimeter of the given triangle = IK + KM + MI
IK = IJ + JK = 13
KM = KL + LM = ?
MI = MN + NI ?
Let's find the length of each tangents.
NI = IJ = 5 (tangents from external point I)
JK = IK - IJ = 13 - 5 = 8
JK = KL = 8 (Tangents from external point K)
LM = MN = 14 (Tangents from external point M)
Thus,
IK = IJ + JK = 5 + 8 = 13
KM = KL + LM = 8 + 14 = 22
MI = MN + NI = 14 + 5 = 19
Perimeter = IK + KM + MI = 13 + 22 + 19 = 54
Answer:
(x,y) -> (-x,y)
Step-by-step explanation:
The image is flipped over the x axis.
It is A because it can’t be B and it can’t be C and it can’t be D so my answer is A
Answer:
Jeff went over by 53.33 grams or 
grams.
Step-by-step explanation:
Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.
Jeff knows that 1 cup of that particular vanilla powder has a mass of 128 grams.
He added 
of a cup of vanilla powder to the flour.
So, he added a mass of 
grams of vanilla.
As the recipe says, it needs 32 grams of vanilla so Jeff went over by 
grams.
Jeff went over by 53.33 grams or grams.
Answer: the lower limit is 1.555g and the upper limit is 1.564g
Step-by-step explanation:
a mg is:
1mg = 0.001g
Then we need to look at the third digit after the decimal point.
Then the weight 1.56g is rounded around this.
Remember that if the third digit after the decimal point is 5 or bigger, then we round up.
if the third digit is smaller than 5, then we round down.
Now, the maximum possible value of this weight is when the third digit is equal to 4 (4 mg) where because it is smaller than 5, we round it down to 1.56g
Then the maximum is 1.564g
And the minimum value is when we have:
w = 1.555g
Because the third digit is a 5, we round it up to 1.56g.
So the lower limit is 1.555g and the upper limit is 1.564g
