Answer:
x = 116º
Step-by-step explanation:
the sum of angles on the same side equals 180º so:
x + 64º = 180º subtract 64º from both sides
x = 116º
Answer:
Machine A will have produced 20 more parts than machine B would in 5 hours
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
c² = 2² + 5²
c² = 4 + 25
c² = 29
c = sqrt(29)
Answer:
Step-by-step explanation:
2x2=4 divided by 2 =2
2x2=4
2x4=8
2+4+8=14
Answer: The required length of the golden thread needed is 30 cm.
Step-by-step explanation: Given that a triangular colorful scenery is made in a wall with sides 50 cm, 50 cm and 80 cm. A golden thread is to hang from the vertex so as to just reach the side 80 cm.
We are to find the length of the golden thread required.
As shown in the attached figure below, ABC is the triangular scenery with sides
AB = AC = 50 cm and BC = 80 cm.
AD is drawn perpendicular to BC, so that AD is the length of the golden thread required to reach side BC with length 80 cm from the vertex A.
Now, since AD ⊥ BC and ΔABC is isosceles (AB = AC), so we must have
D is the midpoint of BC.
That is,

Now, from the right-angled triangle ABD, we have

Thus, the required length of the golden thread needed is 30 cm.