1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BARSIC [14]
2 years ago
6

In the figure, what set of angles are alternate interior angles?angle 1 and angle 6angle 2 and angle 6angle 4 and angle 7angle 4

and angle 5

Mathematics
1 answer:
irinina [24]2 years ago
8 0
Answer:

Angle 4 and angle 5

Explanation:

Alternate interior angles are angles within two parallel lines that fall at the opposite sides of the transversal.

By carefully observing the figure shown:

Angle 3 and angle 8 are alternate interior angles because they are within the two parallel lines and are at opposite sides of the transversal

Also, angle 4 and angle 5 are alternate interior angles because they are within the two parallel lines and are at opposite sides of the transversal

Out of the given options, only angle 4 and angle 5 are aleternate interior angles

You might be interested in
A scuba diver is swimming 15 feet below the water’s surface. The diver swims up slowly at 0.5 feet per second for 4 seconds; and
STatiana [176]
0.5 x 4 = 2 feet / 2 feet in 4 seconds
15 - 2 = 13
New depth: 13 feet

0.4 x 3 = 1.2 feet / 1.2 feet in 3 seconds
13 - 1.2 = 11.8
New depth: 11.8 feet

8 0
3 years ago
Read 2 more answers
Factor the question: 4x+8y+16
kirill [66]
Y= - X/2 = 2 this is the answer
8 0
3 years ago
Sketch the domain D bounded by y = x^2, y = (1/2)x^2, and y=6x. Use a change of variables with the map x = uv, y = u^2 (for u ?
cluponka [151]

Under the given transformation, the Jacobian and its determinant are

\begin{cases}x=uv\\y=u^2\end{cases}\implies J=\begin{bmatrix}v&u\\2u&0\end{bmatrix}\implies|\det J|=2u^2

so that

\displaystyle\iint_D\frac{\mathrm dx\,\mathrm dy}y=\iint_{D'}\frac{2u^2}{u^2}\,\mathrm du\,\mathrm dv=2\iint_{D'}\mathrm du\,\mathrm dv

where D' is the region D transformed into the u-v plane. The remaining integral is the twice the area of D'.

Now, the integral over D is

\displaystyle\iint_D\frac{\mathrm dx\,\mathrm dy}y=\left\{\int_0^6\int_{x^2/2}^{x^2}+\int_6^{12}\int_{x^2/2}^{6x}\right\}\frac{\mathrm dx\,\mathrm dy}y

but through the given transformation, the boundary of D' is the set of equations,

\begin{array}{l}y=x^2\implies u^2=u^2v^2\implies v^2=1\implies v=\pm1\\y=\frac{x^2}2\implies u^2=\frac{u^2v^2}2\implies v^2=2\implies v=\pm\sqrt2\\y=6x\implies u^2=6uv\implies u=6v\end{array}

We require that u>0, and the last equation tells us that we would also need v>0. This means 1\le v\le\sqrt2 and 0, so that the integral over D' is

\displaystyle2\iint_{D'}\mathrm du\,\mathrm dv=2\int_1^{\sqrt2}\int_0^{6v}\mathrm du\,\mathrm dv=\boxed6

4 0
3 years ago
I have <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20%20%5Cfrac%7B5%7D%7Bx%7D%20" id="TexFormula1" title=
mojhsa [17]
\bf \cfrac{dx}{dt}=\cfrac{5}{t}\quad ,\quad x(0)=7\to &#10;\begin{cases}&#10;f(t)=0\\&#10;t=7&#10;\end{cases}\\\\&#10;-----------------------------\\\\&#10;\displaystyle \int \cfrac{5}{t}\cdot dt\implies 5\int \cfrac{1}{t}\cdot dt\implies 5ln|t|+C= f(t)&#10;\\\\\\&#10;\textit{now, we know when f(t)=0, t=7}\implies 5ln|7|+C=0&#10;\\\\\\&#10;C=-5ln(7)&#10;\\\\\\&#10;thus\implies \boxed{5ln|t|-5ln(7)=f(t)=x}

notice |7| 7 is positive, so we can simply remove the bars and use 7 by itself

6 0
3 years ago
After a 5% pay raise , Hermione is earning $21,000 per year. What was she earning before the pay raise?
Finger [1]

Answer:

\$20,000

Step-by-step explanation:

Let

x -----> Hermione was earning before the pay raise

we know that

100\%+5\%=105\%=105/100=1.05

so

The linear equation that represent this problem is

1.05x=21,000

Solve for x

Divide by 1.05 both sides

x=21,000/1.05

x=\$20,000

7 0
3 years ago
Other questions:
  • Rachel took a two-day road trip last weekend. She drove 65 miles less on Sunday than she did
    6·1 answer
  • n Monday 2⁄3 of the team practiced, Tuesday 7⁄8 , Wednesday 1⁄2 , and Thursday 3⁄4 . On which day were the most team members pre
    12·2 answers
  • Michales basketball team practiced for 2 hours and 40 minutes yesterday and 3 hours and 15 minutes today go much longer did the
    10·1 answer
  • The graph of h(x) represents the predicted value of a car over x years. What is the domain of h(x)?
    6·1 answer
  • Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Check all that apply.
    5·1 answer
  • What vocabulary term describes symbols that represent numbers whose quantity we don't know?
    14·1 answer
  • A candle is in the shape of a square pyramid. Its height is 5 cm and its slant height is 8 cm.
    10·1 answer
  • Find the correct value of x
    12·1 answer
  • Divide using long division. <br> -15x3 + 37x2 - 8x - 6/3x-5
    14·1 answer
  • On a clear day you can see about 27 miles from theobservation deck of the Empire State Building in New YorkCity. Using the formu
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!