Answer:
Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
so
In this problem
we know that
the measure of angle VXY is equal to
-----> by supplementary angles
therefore
Remember that
m<UVW=m<XVY -----> is the same vertex
therefore
Triangles VUW and VXY are similar by AAA Similarity Theorem ( the three angles are congruent)
Given:
Volume of toy=231 cm³
Diameter of a hemisphere= 7 cm
cone and hemisphere have equal radius.
radius of hemisphere = radius of cone = 3.5 cm
Height of hemisphere= radius of hemisphere= 3.5 cm
Let H be the height of toy
H= height of cone+ height of hemisphere
H = h + r , ( h = height of cone)
H = h + 3.5
volume of toy = volume of cone + volume of hemisphere
Volume of toy= 1/3πr²h + 2/3πr³
Volume of toy=πr²/3(h+2r)
231 = (22/7)×(3.5)² ×(1/3)(h+2×3.5)
231×3 =( 22×3.5×3.5)/7 (h+7)
h+7 = (231×3×7)/(3.5×3.5×22)
h+7 = (3×3)/(.5×.5×2)
h+7= 900 /50= 90/5= 18
h+7= 18
h=18-7
h= 11 cm
Height of toy = h+r
Height of toy = 11+3.5= 14.5
Height of toy =14.5 cm
Hence, the height of the toy = 13.5 cm
Answer:
c
Step-by-step explanation:
given: miles traveled and cost
to find: which one is correct
solution:
miles traveled =25
And cost =80
80/25 = 3.2
similarity all $3.20 cost increase
Answer:
Josie: 100 + 5x
Allanah: 10 + 20x
x is to represent the unknown variable of how many times they will repeat this process.
