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a_sh-v [17]
4 years ago
5

In a triangle, the largest angle is 3 less than twice the smallest angle. The middle-sized angle is 7 more than the smallest ang

le. Find the measures (in degrees) of the three angles in the triangle.
Mathematics
1 answer:
Anton [14]4 years ago
8 0
Largest Angle: 85 Degrees

Middle-Sized Angle: 51 Degrees

Smallest Angle: 44 Degrees

Knowing that all the angles in a triangle add up to a total of 180 degrees and the relation of all angles to one another: you may plug in a value for the smallest angle and use this to calculate the other angle values, add all calculated angle measures and repeat until the value is equal to 180 degrees.

Since all angle measures in this problem are dependent upon the smallest angle measure, you only have to change the value of this variable in order to solve the problem.
You might be interested in
Write and solve an equation to find the unknown angle.
Julli [10]
There's many properties you can use to find an unknown angle.

There are too many to lists but one core example would be an isosceles triangle that has two adjacent sides and angles.

Let's say that the sides of an isosceles triangle are any number "x"

now since two sides of the triangle are the same we can add these two x's together.

x+x = 2x

now the other side of the triangle can be anything you like. We can call it 4x for this example.

now if we add them all together we'll get 4x+2x=6x

Now since the angles of a triangle add up to 180 degrees
we can equate 6x=180 leaving x to be 30.

Now since x belongs to both sides of the triangle we can say that both angles are congruent as well because the two sides of the triangle are congruent. This is a known triangle law.

Since both angles are now 30 degrees this will leave us with 2(30) = 60

now if we subtract 180 - 60 we'll get 120 which is the remainder of the 3rd angle of the side that corresponds with 4x.
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5 0
4 years ago
3(x + 7) + 2(-x + 4) + 5x
grandymaker [24]

Answer:

x=9

Step-by-step explanation:

3 0
3 years ago
Multiply and Divide<br> 1/2 + 2/3 ÷ 1/6
vladimir1956 [14]
Is 9/2 (4.5)

Explanation :

1/2 + 2/3 x 6

—-

1/2 + 2 x 2

—-

1/2 + 4

gives me 9/2 that’s 4.5
3 0
3 years ago
Instructions: Write the explicit rule. Remember to simplify and do not put spaces in your answer. Sequence: 30,0,−30,−60,… 30 ,
kodGreya [7K]

Answer:

a(n)=60-30n

Step-by-step explanation:

Equation to use:

a(n) = a(1) + d(n-1)

where a(1) is the first term, d is the common difference between terms, and n is the nth term you are trying to find.

In this case, a(1) is 30, d is -30, and n is just n.

If you plug that into the equation and use the distributive property, you would get: a(n) = 30 -30n + 30.

Adding the two 30's gets you: a(n) = 60 - 30n, which is the solution.

7 0
4 years ago
2x+75=-75-2x can you help me ​
poizon [28]

Answer:

x = -50

Step-by-step explanation:

2x+75=75-2x | Given

2x = -150 - 2x | Subtract 75 from both sides

4x = -150 | Add 2x to both sides

x = -50

6 0
3 years ago
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