6 is correct for this questions answer
Answer:
When y=276, x= 23
Step-by-step explanation:
Since they're directly proportional, when divided they have to equal the same.
180/15= 12 and 276/23= 12
Step-by-step explanation:
The measure of ∠4 is 45°.
Solution:
Line segment VR is parallel to the line segment US.
m∠1 = 45°
∠1 and ∠4 are corresponding angles.
<em>If two lines are parallel, then the corresponding angles are congruent.</em>
m∠1 = m∠4
45° = m∠4
m∠4 = 45°
The measure of ∠4 is 45°.
The lateral area would be 298.7 cm².
The lateral area is the area of all of the lateral faces of the pyramid. There are 8 triangles making up the lateral faces. Each has a base of 6.6. The formula for the area of a triangle is
A=1/2bh,
so we still need the height of the triangle.
The height of each lateral triangle is the slant height of the pyramid. The slant height of the pyramid forms a right triangle with the height of the pyramid and the "radius" as it were of the pyramid. Thus we use the Pythagorean theorem:
8²+8²=h²
64+64=h²
128=h²
√128=√(h²)
8√2 = h
Substituting this into our area formula we have:
A=1/2(6.6)(8√2)
We will go ahead and multiply this by 8, since there are 8 lateral faces:
LA=8(1/2)(6.6)(8√2)
LA = 298.7
