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zubka84 [21]
3 years ago
7

I need the answer and step by step how to do it

Mathematics
1 answer:
siniylev [52]3 years ago
8 0

Answer:

b = 55 degrees.

Step-by-step explanation:

The 3 angles add up to a circle which has 360 degrees.

Therefore  96 + 209 + b = 360

b + 305 = 360

b = 360 - 305

b = 55 degrees,.

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Find the perimeter of the triangle whose vertices are the following, specified points in the plane.
hichkok12 [17]

Given:

The vertices of the triangle are (-10,-3), (1,4) and (-1,7).

To find:

The perimeter of the triangle.

Solution:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let the vertices of the triangle are A(-10,-3), B(1,4) and C(-1,7).

Using distance formula, we get

AB=\sqrt{(1-(-10))^2+(4-(-3))^2}

AB=\sqrt{(1+10)^2+(4+3)^2}

AB=\sqrt{(11)^2+(7)^2}

AB=\sqrt{121+49}

AB=\sqrt{170}

Similarly,

BC=\sqrt{\left(-1-1\right)^2+\left(7-4\right)^2}=\sqrt{13}

AC=\sqrt{\left(-1-\left(-10\right)\right)^2+\left(7-\left(-3\right)\right)^2} =\sqrt{181}

Now, the perimeter of the triangle is

Perimeter=AB+BC+AC

Perimeter=\sqrt{170}+\sqrt{13}+\sqrt{181}

Perimeter\approx 13.038+3.606+13.454

Perimeter=30.098

Therefore, the perimeter of the triangle is 30.098 units.

8 0
3 years ago
REPOST*
xeze [42]

#1

  • -6-3-5

Hence inequality will be

\\ \sf\longmapsto -6\leqslant 5

#2.

  • 3<5

But we need inequality

\\ \sf\longmapsto 3\leqslant 5

#3

The inequality given by

\\ \sf\longmapsto -6\leqslant 3\leqslant 5

7 0
3 years ago
Read 2 more answers
The sum of 1/6, 2/3, and 1/4 is
zimovet [89]
1/6+2/3+1/4 
First find the highest common multiple of the denominators=12
Then multiply each term by the quotient of 12/denominator
So...it becomes 2/12+8/12+3/12
Add all the numerators and keep the denominator constant
It becomes (2+8+3)/12=13/12
                                 =1 1/12

5 0
3 years ago
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This is Josh’s work and solution for the equation x^2-6x-7=0:
sergiy2304 [10]

Answer:

This not True

Step-by-step explanation:

x-3=± 4 (mistakes)

x=3±4

x=3+4 and x=3-4

x=7 x=-1

5 0
4 years ago
How can you use two-step equations to represent and solve real-world problems?
ella [17]
A two-step equation in a real world problem can be solved using these steps:-

- Identify the variables
- Write a equation
- Solve for the unknowns
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3 years ago
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