Answer:
Step-by-step explanation:
Properties of a circumcenter;
1). Circumcenter of a triangle is a point which is equidistant from all vertices.
2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.
From the picture attached,
9). AG = GB = GC = 21
10). BC = 2(DC)
= 2×16
= 32
11). By applying Pythagoras Theorem in ΔGFB,
GB² = GF² + FB²
(21)² = GF² + (19)²
441 = GF² + 361
GF² = 441 - 361
GF = 
GF = 8.9
12). By applying Pythagoras theorem in ΔGDB,
GB² = DG² + BD²
(21)² = (DG)² + (16)² [BD = DC = 16]
DG² = 441 - 256
DG = √185
DG = 13.6
As a fraction it is 466666/1000000
See the picture attached.
We know:
NM // XZ
NY = transversal line
∠YXZ ≡ ∠YNM
1) <span>
We know that ∠XYZ is congruent to ∠NYM by the reflexive property.</span>
The reflexive property states that any shape is congruent to itself.
∠NYM is just a different way to call ∠XYZ using different vertexes, but the sides composing the two angles are the same.
Hence, ∠XYZ ≡ <span>∠NYM</span> by the reflexive property.
2) Δ<span>
XYZ is similar to ΔNYM by the AA (angle-angle) similarity theoremThe AA similarity theorem states that if two triangles have a pair of corresponding angles congruent, then the two triangles are similar.
Consider </span>Δ<span>XYZ and ΔNYM:
</span>∠YXZ ≡ <span>∠YNM
</span>∠XYZ ≡ ∠NYM
Hence, ΔXYZ is similar to ΔNYM by the AA similarity theorem.
Answer:
Katie will collect more than 100 seashells in 5 and a half days.
Step-by-step explanation:
Katie already has 34 seashells in her collection.
Each day, she finds 12 more seashells on the beach.
Let x be the number of days Katie is collecting seashells.
In x days, she will collect 12x seashells.
In total, she will collect 
seashells.
Katie wants to collect over 100 seashells, so
Solve this inequality. Subtract 34:
Katie will collect more than 100 seashells in 5 and a half days.
Answer:
a = 11
Step-by-step explanation:
One is given the following equation:
3a - 7 = 26
Use inverse operations to solve this equation:
3a - 7 = 26
(add (7) to both sides)
3a = 26 + 7
Simplify,
3a = 26 + 7
3a = 33
Inverse operations,
3a = 33
(divide both sides by (3))
a = 33 / 3
Simplify,
a = 11
