Find the missing endpoint if the midpoint is at (2,-5) and one endpoint is at (12,-5).
O (2,-5)
O(-8,-5)
O(10-8)
O (12,-5)

Answer:

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Step-by-step explanation:

From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.

If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:

Angle A

[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)

[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]

[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]

[tex]A \approx 87.395^{\circ}[/tex]

Angle B

[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)

[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]

[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]

[tex]B\approx 57.271^{\circ}[/tex]

Angle C

[tex]C = 180^{\circ}-A-B[/tex]

[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]

[tex]C = 35.334^{\circ}[/tex]

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Answer:

15

Step-by-step explanation:

The calculation is:

endamount - startamount divided by number of days.

(237-27) / 14 = 15

Answer:

237 - 27 = 210 (she already had 27 to start, so subtract that from the total)

210 ÷ 14 = 15 (divide by 14 because there are 14 days in two weeks)

so she bought 15 stickers each day

do you move the 6 for the 2?

Step-by-step explanation:

I'm sorry if its wrong

have a good day!

Given:

The expression is

[tex](7-\sqrt{7})(-6+\sqrt{7})[/tex]

To find:

The product of the radical expression.

Solution:

We have,

[tex](7-\sqrt{7})(-6+\sqrt{7})[/tex]

Using distributive propertry, we get

[tex]=(7)(-6)+(7)(\sqrt{7})+(-\sqrt{7})(-6)+(-\sqrt{7})(\sqrt{7})[/tex]

[tex]=-42+7\sqrt{7}+6\sqrt{7}-7[/tex]

On combining like term, we get

[tex]=(-42+7)+(7\sqrt{7}+6\sqrt{7})[/tex]

[tex]=-49+13\sqrt{7}[/tex]

Therefore, the product of the given radical expression is [tex]-49+13\sqrt{7}[/tex].

Answer:

First Equation is Right which is -56/8 = 7

Step-by-step explanation:

LHS = -56/8

=> -7

RHS = -7

So LHS = RHS

Answer:

the first one. -56/8 = -7

Answer:

Baking c cookies and dividing them evenly among 4 friends.

Brainiest???

Hope this helps

Answer:

alot

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

Edg 2021

Answer:

24a no>?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a Triangle = A = ½ (b × h) square units

where b and h are the base and height of the triangle, respectively.

Answer: 24 ft is the area

Step-by-step explanation: area of triangle = (width x height)/ 2; the width is 8, height is 6, 8 x 6 = 48. Divide by 2 = 24.

Answer:

15 miles an hr or 15miles/1 hour

Answer:

D

Step-by-step explanation:

the perimeter of a shape is the sum of it's sides

in a square all sides have the same length

here all sides are 1 inch

so 1+1+1+1 = 4 inches which is D

Answer:

diameter =2xradius

diameter=2x4

diameter =8cm

Answer:8cm

Step-by-step explanation:

Answer:

[tex]x=-2, \:1+\sqrt{3}i,\: 1-\sqrt{3} i[/tex]

Step-by-step explanation:

[tex]x^3+8=0,\\x^3=-8,\\\mathrm{For\:}x\in \mathrm{R}, x=-2[/tex]

Real solutions ([tex]x \in \mathrm{R}[/tex]): [tex]x=-2[/tex]

However, recall that [tex](\frac{-1\pm\sqrt{3}i}{2})^3=1[/tex].

Therefore:

[tex]\frac{-1\pm\sqrt{3}i}{2}\cdot -2=-2[/tex].

Thus, for [tex]x^3=-8,\: x\notin \mathrm{R}[/tex]:

[tex]x=1\pm\sqrt{3}i[/tex].

Therefore, the real and nonreal solutions of [tex]x^3+8=0[/tex] are [tex]\fbox{$-2, \:1+\sqrt{3}i,\: 1-\sqrt{3}i$}[/tex].

Answer:

-2, 1 +/- i*sqrt(3)

(3 solutions)

Step-by-step explanation:

Because the left side is in the form a^3+b^3, we can factor it as (a+b)(a^2-ab+b^2) (good formula to remember)

So we have

(x+2)(x^2-2x+4)

We can see one value already

x+2 = 0

x = -2

now we solve for

x^2-2x+4 = 0

We can use the quadratic formula, and see that the determinant is negative (2^2-4*1*4 < 0)

Therefore we have two imaginary solutions

(-(-2) +/- sqrt(2^2-4*1*4))/)2*1) = (2 +/- sqrt(-12))/2 = (2 +/- 2sqrt(-3))/2 = 1+/- sqrt(-3) = 1 +/- i*sqrt(3)

Answer:

x=6+1

Step-by-step explanation:

Answer:

yay free points numbers are all numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is a square so every angle is 90°. As diagonal bisects, the angles of square means that 90/2=45 So,

6x-21=45

6x=66

x=11°

Note: Diagonal only bisects the angle in the square, not in every figure.

Answer:

f(g(x))=2x-5

Step-by-step explanation:

f(g(x))=2(x-3)+1

Answer:

Um i have no idea sorry i couldnt help

Step-by-step explanation:

Answer:I’m trying to find it too

Step-by-step explanation:I don’t know what it is but I’m sure it’s 12-90

Step-by-step explanation:

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

So the smallest angle is <P.

Hope it may help :)

Answer:

2 days

Step-by-step explanation:

You would have to change 7/4 to have the same common denominator as 7/8, which is 8. 7/4 is equal to 14/8, or 1 6/8. Then you would subtract 1 6/8 by 7/8. What would be left would be 7/8. And of course, 7/8 minus 7/8 would be 0.

Hope this help you

Answer:

commutative property of multiplication

Step-by-step explanation:

Answer:

○ [tex]\displaystyle y = 2x + 7[/tex]

Step-by-step explanation:

Use the Slope-Intercept Formula instead of the Point-Slope Formula because it is MUCH, MUCH faster, plus parallel equations have SIMILAR RATE OF CHANGES [SLOPES ], so [tex]\displaystyle 2[/tex] remains as is:

[tex]\displaystyle y =mx + b \\ \\ 3 = 2[-2] + b → 3 = -4 + b; 7 = b \\ \\ \boxed{y = 2x + 7}[/tex]

I am joyous to assist you at any time.

Answer:

45

Step-by-step explanation:

1

1/5 X 5    times 9

Answer:

45 times is the correct answer