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
stiks02 [169]
3 years ago
7

Given that lines a and b are parallel, what angles formed on line b when cut by the transversal are congruent with ∠2?

Mathematics
1 answer:
Kruka [31]3 years ago
3 0

Answer:

The angles formed on line b when cut by the transversal are congruent with ∠2 are \angle{6}\text{ and }\angle{7}

Step-by-step explanation:

Consider the provided information.

If transversal line crossed by two parallel lines, then, the corresponding angles and alternate angles are equal .

The angles on the same corners are called corresponding angle.

Alternate Angles:  Angles that are in opposite positions relative to a transversal intersecting two lines.

∠2 and ∠6 are corresponding angles

Therefore, ∠2 = ∠6

∠2 and ∠7 are alternate exterior angles

Therefore, ∠2 = ∠7

Hence, the angles formed on line b when cut by the transversal are congruent with ∠2 are \angle{6}\text{ and }\angle{7}

You might be interested in
Solve x^3 = 1 over 8.<br><br> 1 over 2<br> ±1 over 2<br> 1 over 4<br> ±1 over 4
Oduvanchick [21]

Answer:

x = 1/2

Step-by-step explanation:

x^3 = 1/8

Take the cube root of each side

x^3 ^ (1/3) = (1/8)^ (1/3)

Rewriting 8 as 2^3

x^3 ^ (1/3) = (1/2^3)^ (1/3)

x = 1/2

7 0
3 years ago
Read 2 more answers
I don’t understand this, need help.
zaharov [31]

Answer:

8 units

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Given a focus of (4, 5) and directrix of y= -3 , find the equation of the parabola.
andrey2020 [161]
Check the picture below.

notice, the focus point is at 4,5 whilst the directrix line is at y = -3, below the focus point, meaning the parabola is vertical and opening upwards.

keeping in mind that the vertex is "p" distance from either of these fellows, then the vertex is half-way between both of them, notice in the picture, the distance from y = 5 to y = -3 is 8 units, half that is 4 units, thus the vertex 4 units from the focus or 4 units from the directrix, that puts it at (4,1), whilst "p" is 4, since the parabola is opening upwards, is a positive 4 then.

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;(y-{{ k}})^2=4{{ p}}(x-{{ h}})&#10;\\\\&#10;\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ({{ h}},{{ k}})\\\\&#10;{{ p}}=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------

\bf \begin{cases}&#10;h=4\\&#10;k=1\\&#10;p=4&#10;\end{cases}\implies (x-4)^2=4(4)(y-1)\implies (x-4)^2=16(y-1)&#10;\\\\\\&#10;\cfrac{1}{16}(x-4)^2=y-1\implies \cfrac{1}{16}(x-4)^2+1=y

8 0
4 years ago
Fill in the missing operator where the blank is (-40)__(8)=-5
Paul [167]

Answer:

divide

Step-by-step explanation:

-40 / 8 = -5

4 0
3 years ago
Y=89.99+36.55(x-1) as a Y=ax+b equation
natulia [17]

Answer:

y=89.99+36.55\left(x-1\right)  can be written as  y=36.55x+53.44 which is into the form y=ax+b.

Step-by-step explanation:

Considering the expression

y=89.99+36.55\left(x-1\right)

y\:=89.99+36.55x-36.55

y=36.55x+53.44

writing into the form of the equation

y=ax+b

so

y=36.55x+53.44

Here:

  • a = 36.55x
  • b = 53.44

Therefore,  y=89.99+36.55\left(x-1\right)  can be written as  y=36.55x+53.44 which is into the form y=ax+b.

3 0
3 years ago
Other questions:
  • A group of eight grade 11 and five grade 12 students wish to be on the senior prom committee. The committee will consist of thre
    8·1 answer
  • Your answer should be a polynomial in standard form.<br> (X+2)(X+ 3) =
    7·2 answers
  • What is the capacity of the cube in liters 8cm?
    7·2 answers
  • Anyone know what this is
    15·2 answers
  • Determine whether the improper integral converges or diverges, and find the value of each that converges.
    11·1 answer
  • Which line segment is drawn in the figure?<br><br> A.YZ<br> B.WY<br> C.XZ<br> D.WZ
    6·2 answers
  • Which expression and value represents 9 less than the quotient of 18 and 3?
    12·2 answers
  • In an experiment of 50 cars passing was recorded 17 silver cars were recorded what Is the relative frequency of a silver car pas
    8·1 answer
  • GEOMETRY Find the perimeter of the regular polygon.<br> 3(x - 1)<br> 5x - 6
    15·1 answer
  • Find the perimeter. Simplify your answer.<br> 7z+5<br> 22-1<br> 32-9<br> 62+3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!