Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.
1 answer:
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
You might be interested in
Answer:
The conclusion is that the researcher was correct
Step-by-step explanation:
From the question we are told that
The sample size is
The sample mean is
The standard deviation is
The significance level is
The Null Hypothesis is
The Alternative Hypothesis is
The test statistic is mathematically represented as
Substituting values
Now the critical value for is
This obtained from the critical value table
So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected
The conclusion is that the researcher was correct
Answer:
A) GCF =
B) (3b + 10) = 0
C) b = 0, b = -10/3
Step-by-step explanation:
Answer:
200 students attended the basketball game
Step-by-step explanation:
The complete question in the attached figure
Let
x ------> the number of students in fourth grade
s -----> the number of students at the basketball game
we know that
The number of students at the basketball game is four times the number of students in fourth grade
so
The linear expression is
-----> equation A
-----> equation B
substitute equation B in equation A and solve for y
therefore
200 students attended the basketball game
