An isosceles right-angled triangle is shown.
The area of the triangle is 200 cm?.
Work out the value of x.

Answer:

vertical angles theorem

Corresponding angles are two or more angles that have similar properties. Thus they have equal measures.

The required prove is given in the explanation below:

Considering the given diagram, it can be observed that:

<1 ≅ <3 and <2 ≅ <4     (vertically opposite angle theorem)

Also,

<5 ≅ < 7 and <6 ≅ <8    (vertically opposite angle theorem)

m ⊥ n and a ⊥ b             (given)

Thus,

<1 + <2 + <3 + <4 = [tex]360^{o}[/tex] (sum of angles at a point)

Also,

<5 + <6 + <7 + <8 = [tex]360^{o}[/tex]  (sum of angles at a point)

Therefore,

<1 ≅ <7                             (corresponding exterior angle property)

Therefore by corresponding exterior angle theorem, <1 ≅ <7.

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There's a way to think about it, in case you get other questions like this.

When you look at your problem, take out the 35. Out of the picture.

Look at 25%. 25% x 4 = 100% Meaning 4 is golden.

Then bring back the 35 and multiply it by 4. It gives you 140.

:)))) Use this mentallity on other question on percentages!

Answer:

[tex]t=4820 y[/tex]

Step-by-step explanation:

a) The half-life equation is given by:

[tex]t_{1/2}=\frac{ln(2)}{k}[/tex]

b) Using the decay equation we have:

[tex]Q(t)=15e^{-0.0001438t}[/tex]

we need to find t when [tex]Q(t)=\frac{Q_{0}}{2}[/tex]

[tex]7.5=15e^{-0.0001438t}[/tex]

[tex]0.5=e^{-0.0001438t}[/tex]

[tex]ln(0.5)=-0.0001438t[/tex]

[tex]t=\frac{ln(0.5)}{-0.0001438}[/tex]

[tex]t=4820 y[/tex]

Therefore, it will take 4820 years to decay to half the original amount.

I hope it helps you!

Answer:

2. ad is the angle bisector of angle a

3. ad is perpendicular to bc

4. both are right angles as given

5. common

6. ASA congruence

Answer:

Step-by-step explanation:

factor of 10x + 40y

Answer:

10(x + 4y)

Step-by-step explanation:

Answer:

x = − 6.3 ,  y = 2.6

Step-by-step explanation:

Answer:

49m/s

59.07 m/s

Step-by-step explanation:

Given that :

Distance (s) = 178 m

Acceleration due to gravity (a) = g(downward) = 9.8m/s²

Velocity (V) after 5 seconds ;

The initial velocity (u) = 0

Using the relation :

v = u + at

Where ; t = Time = 5 seconds ; a = 9.8m/s²

v = 0 + 9.8(5)

v = 0 + 49

V = 49 m/s

Hence, velocity after 5 seconds = 49m/s

b) How fast is the ball traveling when it hits the ground?

V² = u² + 2as

Where s = height = 178m

V² = 0 + 2(9.8)(178)

V² = 0 + 3488.8

V² = 3488.8

V = √3488.8

V = 59.07 m/s

Answer:

Just do 14+15 because the variables are equal.

Answer:

29 ehehehehe

Step-by-step explanation:

Answer:

ST = 16

Step-by-step explanation:

The similar triangles are given as triangle PQR similar to triangle STU.

That makes sides PQ and ST corresponding sides. It also makes sides PR and SU corresponding sides. The ratios of the lengths of corresponding sides of similar triangles are equal.

[tex] \dfrac{ST}{PQ} = \dfrac{SU}{PR} [/tex]

[tex] \dfrac{5x + 1}{36} = \dfrac{11x - 5}{63} [/tex]

Multiply both sides by 9.

[tex] \dfrac{5x + 1}{4} = \dfrac{11x - 5}{7} [/tex]

Cross multiply.

[tex] 7(5x + 1) = 4(11x - 5) [/tex]

Distribute on both sides.

35x + 7 = 44x - 20

Subtract 44x from both sides.

-9x + 7 = -20

Subtract 7 from both sides.

-9x = -27

Divide both sides by -9.

x = 3

ST = 5x + 1 = 5(3) + 1 = 15 + 1 = 16

Answer: ST = 16

Answer:

2

Step-by-step explanation:

Multiply 3 by the exponets and then times those fractions  :)))))

Answer:the explanation hopes this helps!!!

Step-by-step explanation:

The question required attachment; however, follow the following steps to answer your question.

See Attachment

Considering the horizontal plane of the gird.

Count the number of the squares in that plane;

This gives 4

Multiply 4 by length of each side of a square;

Answer:

The answer is {(7.8, 1), (7.6, 2), (7.4,3)}

Step-by-step explanation:

The first minute, you would have to subtract 8 - 0.20

Answer:(7.8, 1), (7.6, 2), (7.4, 3)}

Step-by-step explanation:

Answer:

2+2=4

6+6= 12

794*890*572*89=33145180640

Step-by-step explanation:

Answer:

we need a number line for this question...

Step-by-step explanation:

Answer:

x< -2

Step-by-step explanation:

Answer:

the pay one

Step-by-step explanation:

i thinks sorry if i get it wrong

Answer: 3x-184

Step-by-step explanation:

first you subtract 24x-21x then you multply 64*2 then add 56 to the answer 0f 64*2

Answer:

The  bird flies  35 degrees north for about 3 to 4 miles

Answer:

Step-by-step explanation:

tan35 = x/2

tan35(2) = .9476 miles, due northeast.

you have two sides and a angle, i used tan to find the opposing side of the turn of the street, which was angled at 35 degrees.

Answer:

14t

Step-by-step explanation:

the answer is 14t hope this helps

Answer: They both are located at (2,3)

Step-by-step explanation:

The sign that A and C are related is that they both have the same distance from the y axis.

a pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

For example (5,3) here 5 will be for the x and 3 will be for the y.

Another example is (9,0) here 9 is for x and 0 is for y.

Given that the coordinates A and C how are related now as we can see that both A and C are the same amount of distance by the y-axis.

This also can be seen by the coordination of A and C.

For more about coordinates

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Answer:

I believe it should be b and d

Step-by-step explanation:

hoped it helped :)

Answer: A. because it is the only one that makes sense, the unit rate is where the second quantity is one unit: etc. 1 minute=60 seconds1 hour=60 minutes (or) 3600 seconds1 day=24 hours (or) 1440 minutes.

Answer:

Step-by-step explanation:

for the first division blank you would get 11/2 or 5 1/2 flip the second fraction and multiply

for the second one it would be 5/2 or 2 1/2

For the third one it would be 3. like i said flip the second fraction and multiply in order to divide correctly

Answer:

2 1/2 for oatmeal

3 for salad

Step-by-step explanation:

Answer:

The D cells are worth $2.20, and the C cells are worth $1.90.

Step-by-step explanation:

This can be written as:

4x + 2y = 12.60

6x + 4y =20.80

Our goal is to find one variable, then use that information to find the other.

If we multiply the top function by -1.5, we get:

-6x - 3y = -18.90

We can add this to the previous equation.

  -6x - 3y = -18.90

+ 6x + 4y = 20.80

--------------------------

             y = 1.90

The C cells are worth $1.90.

Plug this value into one of the other equations and solve for x.

4x + 2y = 12.60  

4x + 2(1.90) = 12.60

4x + 3.80 = 12.60  

4x = 8.80

x = 2.20

The D cells are worth $2.20.

Check these values in the other equation.

6x + 4y = 20.80

6(2.20) + 4(1.90) = 20.80

13.20 + 7.60 = 20.80

20.80 = 20.80

Answer:

  C = $1.90 each

  D = $2.20 each

Step-by-step explanation:

Given:

  Power pack A:   4D + 2C = 12.60

  Power pack B:   6D + 4C = 20.80

Isolate any one variable:

  4D + 2C = 12.60

  4D = 12.60 - 2C

  D = 3.15 - 0.5C

Substitution to find cost of C cell battery:

  6D + 4C = 20.80

  6(3.15 - 0.5C) + 4C = 20.80

  18.9 - 3C + 4C = 20.80

  18.9 + C = 20.80

  C = 1.90

Substitution to find cost of D cell battery:

  4D + 2C = 12.60

  4D + 2(1.90) = 12.60

  4D + 3.8 = 12.60

  4D = 8.8

  D = 2.20

Answer:

2.275

Step-by-step explanation:

4.4-1.175= 2.275

Answer:

Step-by-step explanation:

[tex]4^{n} = 16 \\\\4^{n} = 4^2\\\\[/tex]

n = 2

2)

[tex]3^{n} =\frac{1}{81}\\\\ = \frac{1}{3^{4}}\\\\3^{n} = 3^{-4}[/tex]

n = -4

Answer:

x = -2

Step-by-step explanation:

-6 + 2x = -10

+6            +6

2x = -4

Divide both sides by 2

x = -2

I hope this was helpful! <3

Could I get brainliest?

Answer:

2.6

Step-by-step explanation:

3/5 ---> ?/100

100/5 ---> 20

3       20         60

--  x           =   -------

5       20         100

60/100 = 6/10

6/10 as a decimal is 0.6

2 + 0.6

= 2.6