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
dedylja [7]
3 years ago
7

Can someone plz help me with this one problem plzzzzz!!!

Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0
Answer


yes i think-



step-by-step






You might be interested in
How Many Solutions?<br> 3x - 7 = 3(x - 3) + 2<br> No Solution<br> One Solution<br> Infinite Solution
prisoha [69]

Answer:

Infinite Solutions

Step-by-step explanation:

3x-7=3x(x-3)+2

3x-7=3x-9+2 - Distributive Property

3x-7=3x-7 - adding the right side together

3 0
3 years ago
Which of the following is the equation of a line parallel to the line y = 4x + 1,
Lisa [10]

Answer:

y = 4x - 19

Step-by-step explanation:

The line is parallel to the line whose equation is;

y = 4x + 1

Parallel lines have the same slope so the slope of our line is 4.

The line passes through point (5,1)

Slope = change in y ÷ change in x

Taking another point (x,y) on the line,

Slope = \frac{y-1}{x-5} = 4

y - 1 = 4x - 20

y = 4x - 19

4 0
3 years ago
Find the value of x.
Gelneren [198K]

Answer: x=13

Step-by-step explanation:

5 0
3 years ago
two opposite angles are congruent, necessary or not, and sufficient or not for a quadrilateral to be a parallelogram
hjlf

Answer: Ok here we go

Step-by-step explanation: Consecutive Angles

[insert drawing of irregular quadrilateral BEAR]

If you were to go around this shape in a clockwise direction starting at ∠B, you would next get to ∠E. Those two angles are consecutive. So are all these pairs:

∠E and ∠A

∠A and ∠R

∠R and ∠B

Consecutive angles have endpoints of the same side of the polygon.

Supplementary Angles

Supplementary angles are two angles adding to 180°. In a parallelogram, any two consecutive angles are supplementary, no matter which pair you pick.

Parallelograms

Parallelograms are special types of quadrilaterals with opposite sides parallel. Parallelograms have these identifying properties:

Congruent opposite sides

Congruent opposite angles

Supplementary consecutive angles

If the quadrilateral has one right angle, then it has four right angles

Bisecting diagonals

Each diagonal separates the parallelogram into two congruent triangles

Parallelograms get their names from having two pairs of parallel opposite sides.

Another interesting, and useful, feature of parallelograms tells us that any angle of the parallelogram is supplementary to the consecutive angles on either side of it.

We can use these features and properties to establish six ways of proving a quadrilateral is a parallelogram.

Proving A Quadrilateral is a Parallelogram

Can you be certain? Only by mathematically proving that the shape has the identifying properties of a parallelogram can you be sure. You can prove this with either a two-column proof or a paragraph proof.

Six Ways

Here are the six ways to prove a quadrilateral is a parallelogram:

Prove that opposite sides are congruent

Prove that opposite angles are congruent

Prove that opposite sides are parallel

Prove that consecutive angles are supplementary (adding to 180°)

Prove that an angle is supplementary to both its consecutive angles

Prove that the quadrilateral's diagonals bisect each other

Two-Column Proof

We can use one of these ways in a two-column proof. Bear in mind that, to challenge you, most problems involving parallelograms and proofs will not give you all the information about the presented shape. Here, for example, you are given a quadrilateral and told that its opposite sides are congruent.

Statement Reason:

GO ≅ TA and TG ≅ OA (Given)

Construct segment TO Construct a diagonal

TO ≅ TO Reflexive Property

△GOT ≅ △ TOA Side-Side-Side Postulate: If three sides of one △

are congruent to three sides of another △, then the two △ are congruent

∠GTO ≅ ∠ TOA CPCTC: Corresponding parts of congruent △ are

∠GOT ≅ ∠ OTA congruent

GO ∥ TA and TG ∥ OA Converse of the Alternate Interior Angles

Theorem: If a transversal cuts across two lines and the alternate interior angles are congruent, then the lines are parallel

▱ GOAT Definition of a parallelogram: A quadrilateral

with two pairs of opposite sides parallel

The two-column proof proved the quadrilateral is a parallelogram by proving opposite sides were parallel.

Paragraph Proof

You can also use the paragraph proof form for any of the six ways. Paragraph proofs are harder to write because you may skip a step or leave out an explanation for one of your statements. You may wish to work very slowly to avoid problems.

Always start by making a drawing so you know exactly what you are saying about the quadrilateral as you prove it is a parallelogram.

Here is a proof still using opposite sides parallel, but with a different set of given facts. You are given a quadrilateral with diagonals that are identified as bisecting each other.

[insert drawing of quadrilateral FISH with diagonals HI and FS, but make quadrilateral clearly NOT a parallelogram; show congruency marks on the two diagonals showing they are bisected]

Given a quadrilateral FISH with bisecting diagonals FS and HI, we can also say that the angles created by the intersecting diagonals are congruent. They are congruent because they are vertical angles (opposite angles sharing a vertex point).

Notice that we have two sides and an angle of both triangles inside the quadrilateral. So, we can use the Side-Angle-Side Congruence Theorem to declare the two triangles congruent.

Corresponding parts of congruent triangles are congruent (CPCTC), so ∠IFS and ∠ HSF are congruent. Those two angles are alternate interior angles, and if they are congruent, then sides FI and SH are parallel.

You can repeat the steps to prove FH and IS parallel, which means two pairs of opposite sides are parallel. Thus, you have a parallelogram.

In both proofs, you may say that you already were given a fact that is one of the properties of parallelograms. That is true with both proofs, but in neither case was the given information mathematically proven. You began with the given and worked through the problem, but if your proof "fell apart," then the given may have been wrong.

Since neither our two-column proof or paragraph proof "fell apart," we know the givens were true, and we know the quadrilaterals are parallelograms.

5 0
3 years ago
A radio controlled car travels 27 km and 28.5 minutes what is the speed of the car​
olya-2409 [2.1K]

Answer:

56.842 km/hr

0.947 km / min

15.789 m/s

Step-by-step explanation:

speed = distance / time

let's assume your teacher wants it in km/ hr

28.5 minutes = ? hours

60 minutes = 1 hour

we can multiply both sides of 60 minutes = 1 hour by 28.5/60 to get 28.5 minutes = 28.5/60 hours

distance = 27 km

27 km / (28.5/60) hours = 56.842 km/hr

in km / minute

27 km / 28.5 minutes = 0.947 km / min

in meters/second:

1 minute = 60 seconds

28.5 minutes = ? seconds

we can multiply both sides of the first equation by 28.5 to get

28.5 minutes = 1710 seconds

27 km = ? meters

1 km = 1000 meters

we can multiply both sides of the second equation by 27 to get

27km = 27000 meters

27000 meters / 1710 seconds = 15.789 m/s

3 0
2 years ago
Other questions:
  • Check inequality m&gt; -2
    6·1 answer
  • If f(x)=x^3 and g(x)=x-1, which of the following statements is true?
    15·1 answer
  • If the formula pictured below is used to find the mean of the following sample, what is the value of N?
    6·2 answers
  • QF Q6.) Find the following function for b.
    9·2 answers
  • Expression equivalent to 3n + 2(1-4n)
    5·1 answer
  • Jessica is making muffins. To make her batter, she has to mix 2/3 of a cup of brown sugar with 3/4 of a cup of milk. If Each muf
    8·1 answer
  • What is greatest common factor of 24, 60, and 36
    6·2 answers
  • Help please...Me and geometry are not compatible in any way
    13·1 answer
  • Which coordinate does the axis of symmetry represent?
    14·1 answer
  • I need help with this one
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!