1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Levart [38]
3 years ago
12

If EF=2x-5, FG=3x-6, and EG=19 find the values of x, EF, and FG. The drawing is not to scale.

Mathematics
1 answer:
Tom [10]3 years ago
5 0
EG is the whole thing.
This means that EF + FG = EG

<span>EF=2x-5
</span><span>FG=3x-6
</span><span>EG=19

Now all you do is plug in the numbers.
(2x - 5) + (3x - 6) = 19
5x - 11 = 19
5x = 30
x = 6

Now plug that x into EF and FG.
</span>EF = 2x - 5
EF = 2(6) - 5
EF = 12 - 5
EF = 7

FG = 3x - 6
FG = 3(6) - 6
FG = 18 - 6
FG = 12

So your answers are:
x = 6
EF = 7
FG = 12
<span>d. x = 6, EF = 7, FG = 12</span>
You might be interested in
Solve 4(x-3) -2(x - 1) &gt; 0.
Vinil7 [7]
Check the explanation for answer

5 0
1 year ago
Read 2 more answers
Honors Pre-Calc anybody? (or trig).
elena55 [62]

Answer:

  sec(θ) = -5/2

Step-by-step explanation:

It can be helpful to draw a triangle with sides that produce the given ratio. See the attachment. Then the third side of the triangle can be found using the Pythagorean theorem, if necessary. Finally, the ratio for the desired trig function can be determined.

  sec = hypotenuse/adjacent

  sec(θ) = 5/-2 = -5/2

__

If you don't want to do that, or if you have various trig identities memorized, you can use the appropriate trig identity.

  sin² + cos² = 1

so ...

  sec² = 1/cos² = 1/(1 -sin²)

  sec = 1/√(1 -sin²)

Since the tangent is positive, this is a third-quadrant angle. The secant will be negative.

  sec(θ) = -1/√(1 -(21/25)) = -√(25/4) . . . . . filling in the given value for sin(θ)

  sec(θ) = -5/2

4 0
3 years ago
Match each graph to the equation of its line.
miskamm [114]

Answer:

the first graph is y=4x-4

the second is y=x+2

the third is y=-2x-4

the fourth is y=-x+2

Step-by-step explanation:

please rate and mark brainliest if correct :>

4 0
3 years ago
Read 2 more answers
2115-0830 in millitary time please and thank you so much if i get it right
neonofarm [45]

Answer:

2115 = 9:15 PM

0830 = 8:30 AM

Step-by-step explanation:

12 - hour conversion.

7 0
3 years ago
Identify the 33rd term of the arithmetic sequence 9, 7 and one half, 6...
marta [7]

Answer:

  -39

Step-by-step explanation:

The general term of an arithmetic sequence is ...

  an = a1 +d(n -1)

This sequence has first term a1=9 and common difference d=(7.5-9) = -1.5. Then the 33rd term is ...

  a33 = 9 -1.5(33 -1) = 9 -48 = -39

The 33rd term is -39.

5 0
3 years ago
Other questions:
  • If ΔABC ∠ΔXYZ, m∠A = 50°, and m∠Y = 70°, find m∠C.
    13·2 answers
  • Use the graph to find the value of y = sin q for the value of q.
    11·1 answer
  • Zak bought a board game that included 30 blue game pieces and 40 green game pieces. What is the ratio of blue game pieces to gre
    6·1 answer
  • twelve decreased by twice a number is the same as 8 times the sum of the number plus 4. What is the number
    6·1 answer
  • Which is the simplified form of the expression 5A + 12 - a - 12 + 6A?
    15·1 answer
  • If √x-5 varies directly as y and x=30 when y= 2, find the value of x when y=8.​
    12·1 answer
  • Help pleaseeeee asapppp!
    9·2 answers
  • One tennis club charges $22 per session to play tennis. Another tennis club charges an annual fee of $40 plus $16 per session. A
    12·1 answer
  • Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece is 2 ft less than 3 times the l
    5·1 answer
  • Find x and y. Please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!