Given:
In triangle DEF, HG is parallel to DF.
To find:
The value of x.
Solution:
In triangles DEF and GEH,
(Common angle)
(Corresponding angle)
(By AA property of similarity)
We know that corresponding sides of similar triangle are proportional.





Isolating variable terms, we get



Therefore, the value of x is equal to 4.
Answer:
(3x + 5)/2 = 7
Step-by-step explanation:
If you substitute 3 for x, you get the equation:
(3(3) + 5)/2 = 7
(9 + 5)/2 = 7
14/2 = 7
Answer: C
<u>Step-by-step explanation:</u>
Degree of 5 means there are 5 roots.
If 3 roots are real, then there are 2 remaining - which must be imaginary.
Answer:
=14.92...
14 the maximum number of spheres that Daniel can make from the chunk of clay.
.
Step-by-step explanation:
10^3=1000 in^3
1000/2=500 vol of one congruent chunk.
4/3 * pi * r^3 = vol of a sphere
500/(4/3 * pi * 2^3)
=14.92...
Answer:
5.1 centimeters (5.08 not rounded)
Step-by-step explanation:
1 inch=2.54 centimeters
2.54*2=5.08