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Natali5045456 [20]
3 years ago
9

Which of these ordered pairs is the best estimate of the solution of the system y = 3x + 2 and y = -1/4 x + 1?

Mathematics
1 answer:
Lelu [443]3 years ago
6 0
If the solution exists, y=y....

3x+2=-x/4+1  make everything have a common denominator of 4...

(12x+8)/4=(-x+4)/4 now multiply both sides by 4

12x+8=4-x  add x to both sides

13x+8=4  subtract 8 from both sides

13x=-4  divide both sides by 13

x=-4/13

x≈-0.31  and the only pair in your choices having an x value close to that is:

(-0.3, 1.1)
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Find the value of x in the given statement. The diagram is not to scale.
Evgen [1.6K]
Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.

RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124

Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152

Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76

There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152


3 0
3 years ago
Geometry angles help me out trynna get 100
yulyashka [42]

Answer:

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8 0
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Which of the following is equivalent to 18 minus square root negative 25
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Answer:

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7 0
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If jacob ate 0.4 of a pizza and I ate 1/4 of the same pizza how much is left?
notsponge [240]

Answer:

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Step-by-step explanation:

5 0
3 years ago
In ΔEFG, the measure of ∠G=90°, FG = 5.1 feet, and GE = 7.7 feet. Find the measure of ∠F to the nearest tenth of a degree.
BlackZzzverrR [31]

Answer:

∠F=56.5⁰

Step-by-step explanation:

It forms a right angled triangle.

The base of the triangle is given as 7.7 feet

The perpendicular of the triangle is given as 5.1 feet.

Find ∠E where

tan∠E=perpendicular/base

tan∠E=7.7/5.1

∠E=33.518

Find ∠F by substracting ∠G and ∠E from 180,

∠F=180-90-33.518

∠F=56.482

Round off to nearest tenth

∠F=56.5

8 0
3 years ago
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