Answer:
Angle CED must also measure 60°.
Because angle m is shown to be congruent to angles ABC and CDE, this means that angle m has a measure of 60 degrees.
There can only be 180 degrees in a triangle, so the measure of angle ACB must be 180-60-60, which equals 60 degrees.
Using the Vertical Angles Theorem, the measure of angle ACB is the same as the measure of angle CED.
Therefore, angle CED measures 60°.
Step-by-step explanation:
m, because Triangle ABC is similar to triangle EDC
m over 2, because Triangle ABC is congruent to triangle DCE
m + 60 degrees, because Triangle ABC is similar to triangle DCE
120 degrees − m, because Triangle ABC is congruent to triangle DCE
this is how i solved it:
Sin30+cos300=1/2+1/2=1
Cos30+sin300=rad3/2-rad3/2=0
Sin(30+300)=sin330=<u>-1/2</u>
hope this helps:)
Answer:
2 feet of fabric
Step-by-step explanation:
Answer:

Step-by-step explanation:
The equation of a line in slope-intercept form is.
----->(eq 1)
∴ m is slope

subtract x from both sides.


divide - 2 on both sides


----->(eq 2)
By comparing (eq 1) and (eq 2)


Answer:
The vertex is (-1, 3)
Step-by-step explanation:
The form this is in is called vertex form. We can express the equation using its base form.
y = a(x - h)^2 + k
Now we can identify the vertex as (h, k). By looking at the equation, we can see h is equal to -1 and k is equal to 3.