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3 years ago

Angles

Mathematics

1 answer:

Olin [163]3 years ago

7 0

Answer:

Using the right angles, we can establish AAS making the triangles congruent. Or using the Pythagorean Theorem, we can find the missing side, and then use SSS, SAS, or ASA to make the triangles congruent.

Step-by-step explanation:

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Help on number 1 pls

blagie [28]

Answer:

Step-by-step explanation:

5 is 50/1000, and 1/2% is equal to 5/1000

7 0

3 years ago

Read 2 more answers

In which step did Viet make an error? 2 ( x − 3 ) 2 + 4 = 102 2 ( x − 3 ) 2 = 106 Step 1 ( x − 3 ) 2 = 53 Step 2 x − 3 = ± 53 St

vitfil [10]

Answer:

Step 2

Step-by-step explanation:

Given

Step 1: $2(x - 3)^2 + 4 = 102$

Step 2: $2(x - 3)^2 = 106$

Step 3: $x - 3 = \±\sqrt{53$

Step 4: $x = \±\sqrt{53} + 3$

Required

Where did Viet made an error?

The step 1 indicates the original question.

$2(x - 3)^2 + 4 = 102$

To get to step 2, we have to subtract 4 from both sides of the equation.

$2(x - 3)^2 + 4 -4= 102 - 4$

$2(x - 3)^2 = 98$

However, the above expression is different from Viet's evaluation.

<em>Hence, we can conclude that Viet made an error in step 2</em>

5 0

3 years ago

The perimeter of a rectangle can be found using the equation P = 2L + 2W, where P is the perimeter, L is the length, and W is th

riadik2000 [5.3K]

Answer:

14.5 feet

Step-by-step explanation:

<h3>To make subject as 'w' and solving:</h3>

To make the subject as 'w', isolate w.

To isolate 'w', subtract 2L from both sides .

2L + 2W =P

2W = P - 2L

Now, divide both sides by 2.

$\sf W = \dfrac{P-2L}{2}\\\\W =\dfrac{P}{2}-\dfrac{2L}{2}\\\\ \boxed{W = \dfrac{P}{2}-L}$

P = 37 feet

L = 4 feet

$\sf W =\dfrac{37}{2}-4\\\\$

= 18.5 - 4

W = 14.5 feet

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1 year ago

On the Fahrenheit scale, at what temperature does water boil?

Studentka2010 [4]

C. 212 degrees Fahrenheit

5 0

3 years ago

Read 2 more answers

Hannah thinks the solution to the system below is (–4, –6). Wirt thinks the solution is (20, 10).

Gelneren [198K]

Answer:

Both Hannah and wirt are correct

Step-by-step explanation:

To know who is correct between them, we need to solve the given equation simultaneously

2x − 3y = 10... (1)

6y = 4x – 20...(2)

Equation 2 can be rewritten as;

4x-6y = 20... (3)

Solving 1 and 3 simultaneously;

2x- 3y = 10

4x- 6y = 20

It can be observed that both equations are the same, this means we only have one equation with two unknowns and when such case arises, we will have infinite number of solutions.

Given the equation

2x-3y= 10

Let k = x

Substituting k = x in the equation we will have;

2k-3y = 10

2k = 10+3y

3y = 2k-10

y = 2k-10/3

Therefore x= k, y = 2k-10/3 for any value of k.

Let's now cross check to know who is correct.

Hannah's solution was (-4,-6) that is she got x = -4 and y = -6.

Since k = x, then k = -4

Substituting k = -4 in the other equation to check if the hannah y value will correspond to calculated we have;

y = 2(-4)-10/3

y = -8-10/3

y = -6

This shows that Hannah is correct.

Similarly for wirt, her value is (20,10) i.e x = 20 y = 10

Since k = x; then k = 20

Substitituting k = 10 to confirm if the y value are the same we have

y = 2k-10/3

y = 2(20)-10/3

y = 40-10/3

y = 10

This shows that wirt is also correct.

Therefore both Hannah and wirt are correct.

5 0

3 years ago