Answer:
step 3: place the tip of the compass at point x and strike the arc at point y
Step-by-step explanation:
congruent triangles are triangles that have equal shape and size. They are the same in every way. this is the reason why they are called CONGRUENT
we have been asked to construct an angle MNT congruent to angle PQR. this means we are to construct angle that is the same as that at PQR.
with a ruler and a compass we can easily make a replica of the angle at PQR.
following the steps given in the question including step 3 that i have just added, the angle MNT will be the same as the angle PQR
Answer:
Step-by-step explanation:
Let x be the amount invested in municipal bonds, and let y be the amount invested in corporate bonds.
If Stephanie has $45,000 and she wants to invest part or all into a combination of municipal bonds and corporate bonds, the inequality for this statement would be
x + y ≤ 45000
She wants to invest no less than $20,000 into municipal bonds. It means that
x ≥ 20000
Also, she wants to invest at least four times as much into municipal bonds than into corporate bonds. This means that
x ≥ 4y
x/4 ≥ y
y ≤ x/4
The inequalities are
x + y ≤ 45000
x ≥ 20000
y ≤ x/4
4.265 rounded to the nearest hundredth is 4.27
Given that the first mass of the duck is 0.05 kg and it gains weight at a rate of 0.042 kg/week, the equation that would represent this scenario is,
y = 0.05 + 0.042x
where y is weight and x is the number of weeks. To determine the number of weeks in which the duck's mass becomes 0.890,
0.890 = 0.05 + 0.042x
The value of x from the equation is 20.
