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
nika2105 [10]
3 years ago
14

Decide which rule, if any, proves the triangles congruent.

Mathematics
1 answer:
alexdok [17]3 years ago
5 0

Answer:

A) SSS

Step-by-step explanation:

The triangles are congruent by SSS rule

WC = FY

MC = FP

WM = YP

You might be interested in
A man age is three times his sons age. ten years ago was five times his sons age. find their current age.
kow [346]

Answer:

The son is 20

The man is 60

Step-by-step explanation:

We can set up this equation with what we know. Let <em>m</em> stand for the Man's current age, and let <em>s</em> stand for his son's current age.

We know the Man's current age is three times that of his son, so this equation can be written as: <em>m = 3s</em>

Ten years ago means the man's current age <em>minus</em> 10 years. So it is <em>m-10</em>. So ten years ago he was 5 times his son's age 10 years ago, <em>5(s-10)</em>

This can be written as: <em>m-10=5(s-10)</em>

Solve with either substitution or elimination, the choice is yours, it doesn't really matter which method you use. I'll be using substitution.

<em>m-10=5(s-10)</em>

<em>3s-10= 5s-50</em>

<em>40=2s</em>

<em>20 = s</em>

The son is <em>20</em> years old.

We know the man is currently 3 times his son's age, because <em>m=3s</em>, so just solve for m since you now know the value of <em>s.</em>

<em>m=3s</em>

<em>m=3(20)</em>

<em>m=60</em>

The man is <em>60</em> years old

4 0
3 years ago
Find the value of x in the triangle shown below 4 3
Solnce55 [7]

Answer: 5

Step-by-step explanation: I took the test

8 0
3 years ago
The teams ratio games of won to played was 5 to 6 if the team played 36games how many games did the team win to fail
azamat

Answer: 30

Step-by-step explanation: If you play 36 games in total but the ratio is 5:6 you could use a little dividing so 36/6 is 6 so you would multiply both number by six giving you 30:36

4 0
3 years ago
The rate at which a plant grows is constant. At the 3rd week it is 12 inches tall and at the 5th week it is 20 inches tall. If t
Likurg_2 [28]
It would be (12,20) or (20,12) I don't know which one
5 0
3 years ago
What are the vertex focus and directrix of a parabola with equation x=y^2+14y-2
zimovet [89]
This is a sideways opening parabola, opening to the right to be more specific, since the leading coefficient is a positive 1.  The rule for a focus and a directrix is that they are the same number of units from the vertex (in other words, the vertex is dead center between them), and that the vertex is on the same axis that the focus is.  We need to find the vertex then to determine what the focus and the directrix are.  We will complete the square on that to find the vertex.  Begin by setting it equal to 0, then move the 2 over by addition to get y^2+14y=2.  Now we will complete the square on the y terms.  Take half the linear term, square it, and add it to both sides.  Our linear term is 14.  Half of 14 is 7, and 7 squared is 49. So we add 49 to both sides. y^2+14y+49=2+49, which of course simplifies to y^2+14y+49=51.  The purpose of this is to find the k coodinate of the vertex which will be revealed when we write the perfect square binomial we created during this process: (y+7)^2=51.  Moving the 51 back over by subtraction gives us (y+7)^2-51=x.  The vertex then is (-51,-7).  The formula to find the focus using this vertex is (h+ \frac{1}{4a},k).  As I stated quite a while ago, the leading coefficient on our parabola was a +1 so our "a" value is 1, and the focus is then found in (-51+ \frac{1}{4},-7) which simplifies to (-50.75, -7).  If the vertex is (-51, -7) and the focus is (-50.75, -7), then the distance between them is 1/4, or .25.  That means that the directrix is also .25 units from the vertex, but in the other direction.  Our directrix is a vertical line, and it will have the equaion x = -51.25.  Summing up, your focus is (-50.75, -7) and your directrix is x = -51.25
7 0
3 years ago
Other questions:
  • Which unit rate is the lowest price per ounce? (5 points)
    6·2 answers
  • Yesterday, Nancy's lunch cost $9.80, and she left a $1.47 tip. Today, Nancy's lunch cost $12.60. If she tips at the same rate th
    9·2 answers
  • which expression DOES NOT represent a square root of a perfect square integer? A) 100 B) 64 C) 81 D) 89
    11·2 answers
  • The object of a general chemistry experiment is to determine the amount (in milliliters) of sodium hydroxide (NaOH) solution nee
    9·1 answer
  • 25 ft<br> 10 ft<br> 1412 ft
    7·2 answers
  • The owner of a bookstore ordered 75 copies of a book and paid $1,350. The owner of another bookstore also ordered the same book
    6·1 answer
  • Simplify- -126 x*2 y*7 z*3 w
    15·1 answer
  • What is the equation of the line that passes through the point (-2,-6) and has a slope of -1/2
    12·1 answer
  • The square of the product of 4 and a number.
    15·2 answers
  • Beth put $8,000 in a savings account. At the end of a year the account had earned $72 in interest. What was the yearly interest
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!