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3 years ago

What is a correct congruence statement for the triangles shown?

Mathematics

2 answers:

melamori03 [73]3 years ago

6 0

For this one, look at the symbols inside each angle. In math, the rounded edges inside of angles mean they are congruent. So find which ones have the same amount of rounded edges and that would be your answer.

NKW ≅ UZE

put the corresponding angles in the middle. Since the object you were comparing to had the one line as the middle point, then that is your middle as well.

Hope this helps! Comment with any questions you may have.

8_murik_8 [283]3 years ago

4 0

Answer:

$\Delta UZE\cong \Delta NKW$

Step-by-step explanation:

We have been given a graph of two triangles and we are asked to find the correct congruence statement for our given triangles.

We can see in triangle NKW and triangle UZE.

$EZ\cong WK$ ,

$\angle ZEU\cong \angle KWN$ ,

$\angle UZE\cong \angle NKW$ .

Since two angles and included side of triangle NKW is congruent to two angles and their included side of triangle UZE, therefore, $\Delta UZE\cong \Delta NKW$ by Angle-Side-Angle congruence theorem.

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2.1.4 Practice: Adding Rational Numbers

-BARSIC- [3]

Answer:

She ends up at five points after the three turns.

Step-by-step explanation:

4-6= -2

-2+8= 6

6-1= 5

He ends up with 5 points so she does not get the extra 10 points.

3 0

3 years ago

Brent paid for six avocados with a $20 bill he received $10.40 in change construct and solve the equation can be used to find th

sleet_krkn [62]

Step 1:
Work out how much is was for 6 avocados
20 - 10.40 = 9.6

Step 2:
Find out how much it is for 1 avocado
9.6 / 6 = $1.6

Step 3:
Construct an equation, where y is how many avocados
1.6y = total price

8 0

3 years ago

Read 2 more answers

PLEASE HELP MATH QUESTION !!! Explain!

butalik [34]

When we say two quantities $x$ and $y$ are proportional to one another, there are two ways we could mean this.

- If $x$ is *directly* proportional to $y$ , then we mean that as $x$ changes, $y$ changes in the same direction. In other words, if $x$ is in/decreased, then $y$ also in/decreases. The rate of in/decrease doesn't have to be one-to-one; for example, we could have $x$ increase by 1 unit while $y$ would proportionally increase by 5 units. In this case, we'd have $y=5x$ .

- On the other hand, if $x$ is *inversely* proportional to $y$ , then a change in $x$ results in a change in $y$ that goes in the opposite direction. A common example involves taking a rectangle of constant area and adjusting the width $x$ and length $y$ . If the rectangle has an area of 5 square units, then we could have $x=5$ and $y=1$ , or we could have $x=4$ and $y=\dfrac54$ , or $x=3$ and $y=\dfrac53$ , or any combination of $x$ and $y$ such that $xy=5$ is satisfied.

In both cases, we call 5 the "constant of proportionality".

On to your exercises:

(1a) Looks like $a$ stands for number of apples. Then we're told that the cost $c=2.3a$ , which means that for every apple, the cost increases by 2.3 dollars. So the constant of proportionality is 2.3. In the language of proportionality, we could then say that the cost of apples is directly proportional to the number of apples by a factor of 2.3.