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Leona [35]
3 years ago
6

ABC is an equilateral triangle, solve y

Mathematics
2 answers:
S_A_V [24]3 years ago
4 0

Answer:

60 degrees

Step-by-step explanation:

In an equilateral triangle, the angles are equiangluar and the sides are equal.

180 degrees in a triangle/3 sides =

= 60 degrees per side

kirill115 [55]3 years ago
3 0

Answer:

y is 60⁰

because all sides are equal

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-(4x+6)<2(5x+9)+2x write the solution for interval notation
Ludmilka [50]

Answer:

(-1.5,\infty)

Step-by-step explanation:

-(4x+6)<2(5x+9)+2x

Distribute:

-4x-6<10x+18+2x

Combine like terms on either side:

-4x-6<12x+18

We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.

Add 4x on both sides:

-6<16x+18

Subtract 18 on both sides:

-24<16x

Divide both sides by 16:

-24/16<x

This implies:

x>-24/16

Reduce:

x>-3/2

x>-1.5

So in an interval notation this is (-1.5,\infty).

3 0
3 years ago
Find the value of k and x2<br> x^2+ 13x + k = 0, x1=-9
Anarel [89]

Given:

The quadratic equation is:

x^2+13x+k=0

x_1=-9

To find:

The value of k and x_1.

Solution:

We have,

x^2+13x+k=0                ...(i)

Putting x=-9, we get

(-9)^2+13(-9)+k=0

81-117+k=0

-36+k=0

k=36

Putting k=36 in (i), we get

x^2+13x+36=0

Splitting the middle term, we get

x^2+9x+4x+36=0

x(x+9)+4(x+9)=0

(x+9)(x+4)=0

x=-9,-4

Here, x_1=-9 and x_2=-4.

Therefore, the required values are k=36 and x_2=-4.

3 0
3 years ago
Identify the y-intercept of the line 2x-y=6
nadya68 [22]

Answer:

-6

Step-by-step explanation:

2×-y=6

subtract the 2x

-y=-2×+6

divided by negative 1 on both sides

y=2×-6

7 0
3 years ago
Find the area of the Composite Figure:
Lelu [443]

Answer:

96

Step-by-step explanation:

4x4x6=96

hope this helps

5 0
2 years ago
Read 2 more answers
What is 16+x=12 and -3x=15
horrorfan [7]
-4 and -5
because to get 16 to 12 you have to subtract 4 but it wants you to add so you put a negative sign infront of it.

and a negative multiply by a negative equals a positive so -3×-5=15
5 0
3 years ago
Read 2 more answers
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