Answer/Step-by-step explanation:
✔️Find EC using Cosine Rule:
EC² = DC² + DE² - 2*DC*DE*cos(D)
EC² = 27² + 14² - 2*27*14*cos(32)
EC² = 925 - 756*cos(32)
EC² = 283.875639
EC = √283.875639
EC = 16.85 cm
✔️Find the area of ∆DCE:
Area = ½*14*27*sin(32)
Area of ∆DCE = 100.15 cm²
✔️Since ∆DCE and ∆ABE are congruent, therefore,
Area of ∆ABE = 100.15 cm²
✔️Find the area of the sector:
Area of sector = 105/360*π*16.85²
Area = 260.16 cm² (nearest tenth)
✔️Therefore,
Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)
-12p^2 - 12pq + 2p -3q^2 + q
Like terms are those terms that are having the same variables and order. The simplified form of the given equation 7z+2=8+2z+1z is 4z=6.
<h3>What are Like terms?</h3>
Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
The given equation to us is 7z+2=8+2z+1z, simplifying the equation we will get,

Hence, the simplified form of the given equation 7z+2=8+2z+1z is 4z=6.
Learn more about Like Terms:
brainly.com/question/2513478
X has to be a larger valued negative number than y for the equation to be valid.
Find two points by giving x an y values and solving the equation:
y = -4/7x +1
1 = -4/7x +1, x =0
First point is (0,1)
5 = -4/7x +1, x = -7
Second point is (-7,5)
Now plot those two points on the graph and draw a line through them
See attached picture: