Since b = c, the angles B and C are congruent.
180 - 45 = 135
135/2 = =67.5
A = 45
B = 67.5
C = 67.5
a = ?
b = 4
c = 4
Since we know two sides and all three angles, we can use the law of sines to find a.
b/sin B = a/sin A
4/(sin 67.5) = a/(sin 45)
a = 4(sin 45)/(sin 67.5)
a^2 = (4(sin 45)/(sin 67.5))^2
a^2 = 9.37
The equation (X-4)2 + (y+1)2 = 25 best describes the circle.
Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
= 
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
What is the median of the data set? <br><br>
{16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15}
RUDIKE [14]
The median is the numeric value separating the higher half of a sample data set from the lower half. The median of a data set can be found by arranging all the values from lowest to highest value and picking the one in the middle. If there is an odd number of data values then the median will be the value in the middle. If there is an even number of data values the median is the mean of the two data values in the middle.
For the data set 16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15 the median is 14.5. It is the mean of 14 and 15 or, (14+15)/2 = 14.5.
