If two angles and included side of one triangle are equal to two angles and the included side of the other triangle , then the two triangles are congruent (ASA rule).
in figure
- consider triangle ABD and ACD
- Angle BAD = angle CAD
- AB = AC
- Angle B = angle C
- triangle ABD congruent to Triangle ACD ( by ASA rule)
Answer:
1.
a = 112
b = 68
c = 68
2.
a = 127
3.
a=35
b=40
c=35
d=70
4.
a= 30
b=70
c = 30
d=70
e = 130
I'll help you with the rest later
Step-by-step explanation:
a = 112 because of allied angles rule
b and c = 68 because of angles at a point
360-112-112 ÷2
2. a = 127 because of angles on a straight line rule.
180-38-15
3. d= 70, vertically opposite angle
using angles on a straight line, 180 - 70 - 40 ÷ 2
we now have the two angles and because they are vertically opposite a and c = 35
b = 40 because of vertically opposite angles
4. a=30 because 90-70
since a=30, take 90 - 30 to get b, 70
d= 70, vertically opposite angles
e = 130 because a+b+c, vertically opposite angles
Answer:
$55.36
Step-by-step explanation:
15% of 65.25 is 9.89
then that'd be 65.25 - 9.89 = 55.36
hope this helps/is right.
The other expression that has a value of 
is A) sin B.
Step-by-step explanation:
Step 1:
For angle B, the opposite side measures 7 units, the adjacent side measures 24 units and the hypotenuse measures 25 units.
Step 2:
For angle A, the opposite side measures 24 units, the adjacent side measures 7 units and the hypotenuse measures 25 units.
Step 3:
tan C cannot be determined as C is the right angle. The opposite side and hypotenuse of the triangle would be the same.
So sin B also has a value of 
This is option A.
Answer:
Carna has a lower ratio of paper clips to elastic bands
0.2
Step-by-step explanation:
step one
given data
In Carna's desk drawer
number of paper clips 16
number of elastic band= 20
ratio of paper clips to elastic bands
16:20= 1/5 =0.2
Noelia's office supply tray
number of paper clips 10
number of elastic band= 13
ratio of paper clips to elastic bands
10:13= 0.76
Carna has a lower ratio of paper clips to elastic bands
0.2
