Please help? Im stuck.

Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:

The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.

Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:

Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.

A pair of congruent included sides - ST ≅ S.

These satisfy the ASA Congruence Criterion. Therefore:

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Answer:

$2.40

Step-by-step explanation:

Answer:

48 mph

Step-by-step explanation:

Since you get fined $12 for each mile per hour over and she was fined $96, we can set an equation to find how many miles per hour she was over:

12*x=96

x=8 mph over the speed limit

Since the speed limit is 40, then she was going 40+8=48mph

Answer:

-27

Step-by-step explanation:

18 + x = -9

subtract by 18 on both sides

x = -27

You can check this by...

18 - 27 = -9

I hope this helps!!

this is your answer hope it's helpful for you

Answer:

This is not possible with 2 equal symbols

Answer:

[tex] \boxed{\bf \dfrac{64}{729} }[/tex]

Hence,

[tex]\boxed{\bf \: \bigg( \dfrac{2}{3} \bigg) {}^ {6} = \dfrac{64}{729}} [/tex]

Step-by-step explanation:

Given arithmetic expression is :-

[tex]\sf \longmapsto(2/3) {}^{6} [/tex]

This expression may be rewritten as :-

[tex]\sf \longmapsto \bigg(\dfrac{2}{3} \bigg) {}^{6} [/tex]

6 is the index and 2/3 is the base.

In words, this may be represented as 2/3 raised to the Power 6.

Let's calculate.

It means that 2 is raised to the power of 6 and 3 is also raised to the power 6.

That is,

[tex]\sf \longmapsto \dfrac{ {2}^{6} }{ { 3}^{6} } [/tex]

It will be represented as,

[tex]\sf \longmapsto \: \dfrac{2 \times 2 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 3 \times 3 \times 3 \times 3} [/tex]

On Simplification:-

[tex]\sf \longmapsto \dfrac{64}{729} [/tex]

In Decimal:-

[tex]\sf \longmapsto0.08(approx .)[/tex]

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Answer:

No solution

Step-by-step explanation:

Answer: 44?

I think. I am not sure

Answer:

0.5 pounds of butter.

Explanation

X pounds for 0.25 gallons.

0.5 gallon of cream - 1 pound of butter

0.25 gallons of cream - X pounds of butter

Applying cross multiplication:

0.5X = 0.25

X = 0.25 over 0.5 or 0.25/0.5

X = 0.5

Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.

By the 0.25 gallons of cream, we can make 0.5 pounds of butter.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

It takes 0.5 gallons of cream to make 1 pound of butter.

So,

0.5 gallons of cream ⇒  1 pound of butter

Divide both sides by 2

0.5/2 gallons of cream ⇒  1/2 pound of butter

0.25 gallons of cream ⇒ 0.5 pounds of butter

Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".

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Answer:

Step-by-step explanation:

1 meter = 39.3701, by definition.

3 meters = 3*(39.3701)

3 meters of wire = 118 inches

Answer:

3 meters ≈ 118 inches

Step-by-step explanation:

1 meter = 3.28084 feet

1 foot = 12 inches

3 · 3.28084 =  9.84252

9.84252 · 12 = 118.11024

Answer:

174.6

Step-by-step explanation:

88 kg = 194.007 - 10%

194 * 10% = 194 - 19.4 = 174.6

Answer:

mean/average is calculated by adding all of the values and dividing by the number of values

ur welcome queen besitie slay

Answer:

no property

Step-by-step explanation:

Name the property used: no property

Circle theorem states that the angle that an arc subtends at the center of a

circle is twice the angle subtended at the circumference.

The values are as follows;

Reasons:

[tex]\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC[/tex] Angle subtended at center is twice angle at circumference.

m∠EPC = 180°

∴  m∠EDA = 0.5 × 180° = 90°

2. [tex]m\widehat{BC}[/tex] = 42°, therefore, m∠BPC = 42°

[tex]\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC[/tex]

m∠BDC = 0.5 × 42° = 21°

3. m∠BEC = m∠BDC = 21°

4. [tex]m\widehat{AB}[/tex] = 180° - (58° + 42°) = 80°

5. [tex]\mathbf{m\widehat{AB}}[/tex] = m∠APB by definition

m∠AEB = 0.5 × m∠APB

m∠AEB = 0.5 × 80° = 40°

6. m∠ECA = 0.5 × m∠AE

Therefore;

m∠ECA = 0.5 × [tex]m\widehat{EA}[/tex]

m∠ECA = 0.5 × 58° = 29°

m∠ECA =  29°

7. m∠BAC = 0.5 × [tex]\mathbf{m\widehat{BC}}[/tex]

m∠BAC = 0.5 × 42° = 21°

m∠BAC = 21°

8. [tex]m\widehat{ED}[/tex]  = 180° - [tex]\mathbf{m\widehat{CD}}[/tex]

[tex]m\widehat{ED}[/tex]  = 180° - 90° = 90°

[tex]\mathbf{m\widehat{ED}}[/tex]  =  90°

9. m∠ECD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠ECD = 0.5 × 90° = 45°

10. m∠ACB = 0.5 × [tex]m\widehat{AB}[/tex]

m∠ACB = 0.5 × 80° = 40°

11. m∠EBD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠EBD = 0.5 × 90° = 45°

12. m∠ADB = 0.5 × [tex]\mathbf{m\widehat{AB}}[/tex]

m∠ADB = 0.5 × 80° = 40°

13. m∠CAD = 0.5 × [tex]\mathbf{m\widehat{CD}}[/tex]

m∠CAD = 0.5 × 90° = 45°

14. m∠EAB = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EAB = 0.5 × 180° = 90°

15. m∠EBC = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EBC = 0.5 × 180° = 90°

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Answer:

126

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

You need to add all the fractions up to get 1/2 is what food the costumers brought home

Answer:

1/2

Step-by-step explanation:

i got it correct!!

Answer:

300

Step-by-step explanation:

Let the value that we are trying to find be x.

If 60 is 20% of x, then we have the following equation:

1/5x = 60.

Then, we can multiply by 5 to get:

x = 300

Answer:

20 percent of 60 minutes is 1/3

Step-by-step explanation:

I'm not sure if that is what you're asking, but if it is I hope it helps!

Answer:

Yes, this equation is a system of equations because the two equations do intersect at the point, (0.323529411763, -1.23529411765), making them have a solution. *Work Below*

Step-by-step explanation:

Lets use the elimination method which is ...

4x-3y=5

2x+7y=-8

Multiply the bottom part by -2

(-2)2x+(-2)7y=(-2)-8

which equals...

-4x-14y=16

Rewrite the equations

4x-3y=5

-4x-14y=16

Add and the x's cancel making..

-17y=21

Divide by -17 to isolate y

y=-1.23529411765

Replace y with -1.23529411765 on one of the equations

4x-3(-1.23529411765) =5

x=0.323529411763

solution : (0.323529411763, -1.23529411765)

Answer:

Equilateral triangles have 3 congruent angles, measuring 60 degrees each. Isosceles triangles have 2 congruent angles, and scalene triangles have no congruent angles.

Step-by-step explanation:

Answer:

heterogeneous is the answer

Answer:

x=6

Step-by-step explanation

So, the formula for this is the Pythagorean Theorum which is a^2 +b^2=c^2.

If the longest side is the square root of 72, then it is the hypotenuse, or c. Now the equation looks like this. a^2 + b^2 = square root of 72.

Since we know that a and b are the same, and that they equal the square root of 72, just divide 72 by two for the square root of 36. Just find the square root of 36 now, which is 6. :) Hope this helps!

Answer:

A - infinite

Step-by-step explanation:

The 2 lines are on top of each other making any point on either line a solution.

Hope that helps

Step-by-step explanation:

44 ÷ 33

= 1.333333333..........

Hope it's helpful.

Answer:

y-intercept is -2 slope is up 2 right 1(2/1)

Step-by-step explanation: