y = 90°
Solution:
The reference image for the answer is attached below.
The sum of opposite interior angles is equal to the exterior angles.
m∠BAC + m∠ACB = 110°
m∠BAC + 70° = 110°
m∠BAC = 110° – 70°
m∠BAC = 40°
m∠BAD + m∠DAC = 40°
x + x = 40°
2x = 40°
Divide by 2 on both sides of the equation.
x = 20°
In triangle DAC,
Sum of all the angles of a triangle = 180°
m∠DAC + m∠ACD + m∠CDA = 180°
20° + 70° + m∠CDA = 180°
90° + m∠CDA = 180°
m∠CDA = 180° – 90°
m∠CDA = 90°
∠CDA and y lies on the straight line. So they form a linear pair.
y + m∠CDA = 180°
y + 90° = 180°
y = 180° – 90°
y = 90°
The value of y is 90°.
Answer:
12.5
Step-by-step explanation:
So this is basically a rectangle. You make the 2 triangles a square.
2.5x2.5=6.25
6.25x2=12.5
Answer:
D
Step-by-step explanation:
This is because they are both mulitplied by two so they are still equivalent
Answer:
1:yes 2:no 3:no 4:yes
Step-by-step explanation:
3*2=6 for the numerators
4*5=20 for the denominators
you can simplify this to make it 3/10 ✔️
2*5-10 for the numerators
6*5=30 for the denominators
you can simplify this to make it 1/3 ❌
1*1=1 for the numerators
10*5 for the denominators
you can turn this into 1/50 ❌
1*3=3 for the numerators
2*5=10 for the denominators
you can turn this into 3/10 ✔️
hope this helps! have a nice day! :)
Answer:
Radius of sphere is 3 units.
Step-by-step explanation:
Volume of sphere is given by 
surface area of sphere is given by 
where r is the radius of the sphere.
Given that
The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.
we equate formula of Volume of sphere and surface area of sphere
assuming r as the radius.
thus,
Thus, radius of sphere is 3 units.
