Answer:
The answer is below
Step-by-step explanation:
A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.
The two tangent theorem states that tangent that meet at the same point are equal in length.
Therefore:
CD = c + d
but c = 5.1, hence:
CD = 5.1 + d
12.1 = 5.1 + d
d = 7
AD = a + d; but AD = 12.2, d = 7
12.2 = a + 7
a = 5.2
AB = a + b; but b = 3.3
AB = 5.2 + 3.3 = 8.5
BC = b + c = 3.3 + 5.1 = 8.4
Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2
We know that
the law of sinus established
a/sin A=b/sin B=c/sin C
so
A=30°
B=45°
b=10 units
a/sin A=b/sin B---------> a/sin 30=10/sin 45------> a=10*sin 30/sin 45
a=7.07 units
C=180-(A+B)-------> C=180-(75°)-----> C=105°
b/sin B=c/sin C--------> c=b*sin C/sin B----> c=10*sin 105/sin 45
c=13.66 units
Area=(1/2)*b*c*sin A-------> Area=(1/2)*10*13.66*sin 30°-----> 34.15 units ²
the area of triangle is 34 units²
Answer:
Number of girls in the school is 354.
Step-by-step explanation:
Total number of members = Total students + total number of staff members
= 864 +80
=944
Given out of total members are boys.
We have to determine the number of girls in the school.
First we find the number of boys then subtract it from total number of members.
Number of boys = of total number of member
Thus, number of boys are 590
Thus, number of girls = total number of members - total number of boys
= 944 - 590
= 354
Thus, Number of girls in the school is 354.
Answer:
<h2>2 and 7 are alternate exterior angles</h2>
Step-by-step explanation:
Alternate exterior angles are angles that are on different sides of the transversal and on the outside of the parallel lines. There is a theorem that says that alternate exterior angles are congruent if two parallel lines are cut by a transversal.
Answer:
Y=4x-3
Explanation: If we look 2 = 5 We can do 4(2)= 8 -3 = 5 So that the answer and 4(4)= 16-3 = 13 so these are the Y so this is the answer!