Answer:
Option (4)
Step-by-step explanation:
Given : XZ ≅ DF and ∠X ≅ ∠D
To prove : ΔXYZ ≅ ΔDEF
Statements Reasons
1). XZ ≅ DF 1). Given
2). ∠X ≅ ∠ D 2). Given
3). XY ≅ DE 3). Required information
4). ΔXYZ ≅ ΔDEF 4). By SAS property of congruence
Therefore, Option (4) will be the answer.
Answer:
True
Step-by-step explanation:
- They both have a 90 degree angle
- 90+38=128
- 180-128=52
- The triangles are similar by AAA(Angle Angle Angle)
Answer:
y=-7
Step-by-step explanation:
when it is hohorizontal lile this it is y=-7
Answer:
y = 3x
Step-by-step explanation:
Let's select two points from the given graph.
(1,3) (3,9)
Now, let's use slope formula to find the slope.
m = y2-y1/x2-x1
= 9-3/3-1
= 6/2
= 3
Let's substitute/plug this value into the slope-intercept form.
y = 3x + b
We can see that the y-intercept is 0, from the graph.
b = 0
Therefore,
y = 3x
Answer:
1149.8 m³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V =
πr³ ( r is the radius )
Here diameter = 13, thus radius = 13 ÷ 2 = 6.5
V =
× 3.14 × 6.5³
=
× 3.14 × 274.625
=
≈ 1149.8 m³ ( to the nearest tenth )