All categories

4 years ago

Someone please helpppp!!no bs answers. geometry

Mathematics

1 answer:

DaniilM [7]4 years ago

6 0

Answer:

Line TB is congruent to line BR.

B is the midpoint of line TR.

Line TB plus line BR is equal to or congruent to line TR.

*wink face lol*

You might be interested in

Cos^2 x+4sin^2 x/2=1

lana [24]

$Let\ \dfrac{x}{2}=a,\ therefore\ x=2a.\\\\\cos^2x+4\sin^2\dfrac{x}{2}=\cos^22a+4\sin^2a\\\\\text{use}\ \cos2x=\sin^2x-\cos^2x\\\\=(\sin^2a-\cos^2a)^2+4\sin^2a\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(\sin^2a)^2-2(\sin^2a)(\cos^2a)+(\cos^2a)^2+4\sin^2a\\\\=\sin^4a-2\sin^2a\cos^2a+\cos^4a+4\sin^2a\\\\=\underbrace{\sin^4a+2\sin^2a\cos^2a+\cos^4a}_{(*)}-4\sin^2a\cos^2a+4\sin^2a\\\\\text{use}\ (*)\qquad(a+b)^2=a^2+2ab+b^2$

$=\underbrace{(\sin^2a)^2+2\sin^2a\cos^2a+(\cos^2a)^2}_{(*)}-4\sin^2a(\cos^2a-1)\\\\=(\sin^2a+\cos^2a)^2-4\sin^2a(\cos^2a-1)\\\\\text{use}\ \sin^2a+\cos^2a=1\to\sin^2a=\cos^2a-1\\\\=1^2-4\sin^2a(\sin^2a)=1-4\sin^4a=1-(2\sin^2a)^2$

$\cos^22a+4\sin^2a=1\\\\1-(2\sin^2a)^2=1\qquad\text{subtract 1 from both sides}\\\\-(2\sin^2a)^2=0\to2\sin^2a=0\qquad\text{divide both sides by 2}\\\\\sin^2a=0\to\sin a=0\\\\a=k\pi\ for\ k\in\mathbb{Z}\\\\\dfrac{x}{2}=k\pi\qquad\text{multiply both sides by 2}\\\\\boxed{x=2k\pi\ for\ k\in\mathbb{Z}}$

6 0

3 years ago

Which expressions are equivalent to the one below? Check all that apply.

dem82 [27]

Answer:

Recall from Logarithm law Log a - Log b = Log (a/b)

so, Log 2 - Log 4 = Log ( 2/4)

= Log ( 1/2).

Also from the law

Log (a/b) = Log a - Log b

i.e Log (1/2) = Log 1 - Log 2

Recall: Log 1 = 0

which implies : Log 1 - Log 2 = 0 - Log 2

= - Log 2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the sum of -3x + 9x

Rufina [12.5K]

Answer: I believe the answer is 6x.

8 0

3 years ago

Read 2 more answers

The dress is on sale for 35% off the regular price (w). What expression represents the sale price of the wedding dress?

Aleonysh [2.5K]

Expression that represents the sale price of the wedding dress is $s = 0.65w$

Solution:

Given that, the dress is on sale for 35 % off the regular price

Let the regular price of dress be "w"

To find: Expression that represents the sale price of the wedding dress

Let "s" be the sale price of wedding dress

Sale price = Regular price - discount price

Discount price is given as:

Discount price = 35 % of regular price

Discount price = 35 % of w

$\rightarrow 35 \% \times w\\\\\rightarrow \frac{35}{100} \times w\\\\\rightarrow 0.35w$

Thus discount price = 0.35w

Expression for the sale price of the wedding dress:

Sale price = Regular price - discount price

s = w - 0.35w

s = 0.65w

Thus expression that represents the sale price of the wedding dress is $s = 0.65w$

5 0

3 years ago

In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x - 3, and HE = 5y + 1. Find the values of x and y. The diagram is not to scal

Svetllana [295]

Answer:

x = 6, y = 4

Step-by-step explanation:

The diagonals of a parallelogram bisect with each other at the point of intersection with equal sides across the point of intersection.

DH = HF ⇒ x + 2 = 2y
GH = HE ⇒ 4x - 3 = 5y + 1

x + 2 = 2y,

4x - 3 = 5y + 1

x = 2y - 2,

4(2y - 2) - 3 = 5y + 1

x = 2y - 2,

8y - 8 - 3 = 5y + 1

x = 2y - 2,

8y - 11 = 5y + 1

x = 2y - 2,

8y - 5y = 11 + 1

x = 2y - 2,

3y = 12

x = 2y - 2,

y = 4

x = 2*4 - 2,

y = 4

x = 6,

y = 4

5 0

2 years ago