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tensa zangetsu [6.8K]
3 years ago
14

A=1/2f(r+z), solve for r

Mathematics
1 answer:
marin [14]3 years ago
7 0

Answer:\frac{2A}{f} -2=f

Step-by-step explanation:

A=1/2(r+2)

2A=f(r+2)

2A/f=r+2

2A/f-2=r

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Find three consecutive even integers such that the sum of twice the smallest number and three times the largest is 42
Margarita [4]

Answer:

6, 8 and 10

Step-by-step explanation:

2x+3(x+4)=42

5x+12=42

5x=30

x=6

The numbers are 6, 8 and 10.

6 0
3 years ago
In the figure below, segment CD is parallel to segment EF and point H bisects segment DE :
Grace [21]

Answer:

See explanation

Step-by-step explanation:

In the figure below, segment CD is parallel to segment EF, DE is a transversal, then angles DIH and HGI are congruent as alternate interior angles when two parallel lines are cut by a transversal.

Consider triangles DIH and EGH. In these triangles,

  • \angle DIH\cong \angle EGH as alternate interior angles;
  • \angle DHI\cong \angle GHE as vertical angles;
  • DH\cong HE because point H bisects segment DE (given).

Thus,

\triangle DIH\cong \triangle EGH by AAS postulate

4 0
3 years ago
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
malfutka [58]

Answer:

FED ~ MLF

Step-by-step explanation:

∠L = ∠E

∠F = ∠F

Since both angles are congruent, that would mean all angles are congruent.

If all angles are congruent, then the triangles are always similar no matter the length of the sides.

6 0
3 years ago
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A gold alloy contains 15 milligrams of gold for every 4 milligrams of copper. A jeweler uses 48 milligrams of copper to make the
Elina [12.6K]

Answer:

There are 180 milligrams of gold in the alloy

Step-by-step explanation:

because i know

7 0
3 years ago
Ooooooooooooooooooooooooooooooooo
bulgar [2K]

Answer:

The answer is c. 6

Step-by-step explanation:

8+40=48

2x2x2=8

48/8=6

4 0
3 years ago
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