Step-by-step explanation:
The pizza chain has 5 different topings.
Number of different pizzas = 2⁵ = 32.
We have 2^n >= 1000.
Since 2⁹ = 512 and 2¹⁰ = 1024,
the minimum number of toppings is 10.
Answer:
GH = 22.5
Step-by-step explanation:
Since ∆ABC is similar to ∆FGH, therefore:
Plug in the values
AC = 12 cm
FH = 18 cm
BC = 15 cm
GH = ??
Plug in the values
.
Cross multiply
12*GH = 270
Divide both sides by 12
GH = 22.5
The length of the measure of YZ is 80cm
<h3>Perpendicular lines</h3>
Perpendicular lines are lines that are at angle 90 degrees to each other. From the given diagram;
WX = 82cm
Required
Length. of YZ
Using the pythagoras theorem
YV = VZ = √41²-9²
YV = VZ = √1600
YV = VZ = 40
Since YZ = YV + VZ
YZ = 40cm + 40cm
YZ= 80cm
Hence the length of the measure of YZ is 80cm
Learn more on perpendicular lines here: brainly.com/question/1202004
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Answer:
The additional information require to know that the triangles are congruent by ASA is the option B)
B) ∠FDE ≅ ∠YDE
Step-by-step explanation:
Given:
∠ DEY ≅ ∠FED
To Prove:
Δ DEY ≅ Δ DEF
Proof:
In Δ DEF and Δ DEY
∠ FED ≅ ∠DEY ……….{Given}
DE ≅ DE ……….{Reflexive Property}
∠ FDE ≅ ∠ YDE ...……..{Additional Information}
Δ DEF ≅ Δ DEY ….{ By Angle-Side-Angle test}
The additional information require to know that the triangles are congruent by ASA is the option B)
B) ∠FDE ≅ ∠YDE
Complementary angles - the sum of two angles equals 90 degrees
Exterior angle theorem- the sum of the remote interior angles of a triangle equals the outside angle
Isosceles triangle- has two equal sides and two equal angles
Supplementary angle- the sum of two angles equals 180 degrees
Triangle sum theorem- the sum of of interior angles equal 180
Vertical angles- congruent angles that are opposite of each other.