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2 years ago

Which of the following is a correct tangent ratio for the figure?

Mathematics

1 answer:

kow [346]2 years ago

5 0

Answer:

C) tan(39°) = 11/15

Step-by-step explanation:

SohCahToa

tangent = opposite / adjacent

The given angle is 39°. The angle directly opposite of 39° is 11 and the angle adjacent to 39° is 15.

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Starting at the point (-3,2) go left 9 and down 8. What ordered pair gives the location of this new point

tigry1 [53]

The new a=plot would be:

(-3-9,2-8)=

5 0

1 year ago

Please help with geometry question

Hunter-Best [27]

Answer:

m∠J = 45° , m∠I = 45° and m∠M = 90°

And the ΔJIM is an isosceles right angled triangle.

Step-by-step explanation:

(a). In ΔJIM,

∠J = 2x + 15,

∠I = 5x - 30, and

∠M = 6x

Now, using angle sum property of a triangle that sum of all the angles in a triangle is 180°

⇒ ∠J + ∠I + ∠M = 180°

⇒ 2x + 15 + 5x - 30 + 6x = 180°

⇒ 13x -15 = 180°

⇒ 13x = 195

⇒ x = 15

Therefore, m∠J = 45° , ∠I = 45° and m ∠M = 90°

(b). Now, ΔJIM is a right angled triangle right angled at M.

Also, ∠J = ∠I = 45°

So, JM = IM ( because in a triangle sides opposite to equal angles are equal)

So, ΔJIM is an isosceles triangle because its two sides are equal.

Hence, ΔJIM is a right angled isosceles triangle right angled at M.

8 0

3 years ago

Determine the sum: (14abc2 + 12a2b + 16b2c) + (−3abc2 + 2b2c).

Alenkinab [10]

The answer is 11abc^2 + 12a^2b + 18b^2c because:
14abc^2-3abc^2 is 11abc^2
12a^2b + 0 = 12a^2b
16b^2c +2b^2c = 18b^c

4 0

3 years ago

Find the GCF of the following set of numbers <br> 260, 80, 50

Vinvika [58]

Answer:

Step-by-step explanation:

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 260 are: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

In all of these numbers, we can see that 10 is common throughout and 10 is also the greatest factor all these numbers share.

Hope this helps you :)

7 0

2 years ago

Read 2 more answers

Randolph is trying to find the equation of a line parallel to y = '1 over 4 x − 6 in slope-intercept form that passes through th

Aleksandr [31]

So remember that paralell lines have the same slope
y=1/4x-6
1/4=slope
so we set up a new equation in slope intercept form
y=mx+b
m=slope
b=y-intercept

y=1/4x+b

one solution si (-1,5) where x=-1 and y=5
subsitute
5=1/4(-1)+b
5=-1/4+b
add 1/4 to both sides
5+1/4=21/4=b

the answer is y=1/4x+21/4

4 0

3 years ago

Read 2 more answers