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Elden [556K]
2 years ago
13

Pls pls pls pls pls pls pls

Mathematics
1 answer:
mars1129 [50]2 years ago
8 0

The inverse, converse and contrapositive of a statement are used to determine the true values of the statement

<h3>How to determine the inverse, converse and contrapositive</h3>

As a general rule, we have:

If a conditional statement is: If p , then q .

Then:

  • Inverse -> If not p , then not q .
  • Converse -> If q , then p .
  • Contrapositive -> If not q , then not p .

Using the above rule, we have:

<u>Statement 1</u>

  • Inverse: If a parallelogram does not have a right angle, then it is not a rectangle.
  • Converse: If a parallelogram is a rectangle, then it has a right angle.
  • Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.

All three statements above are true

<u>Statement 2</u>

  • Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent.
  • Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of another
  • Contrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of another

All three statements above are also true

Read more about conditional statements at:

brainly.com/question/11073037

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5 0
2 years ago
ANSWER ASAP-right answer gets brainlist<br> What is the measure of QS?
jarptica [38.1K]

The angle that subtends a chord is half the measure of the arc, so we have an arc QS of 2(84)=168 degrees.

Answer: 168 degrees

7 0
3 years ago
A ladder 10 feet long rests against a vertical wall. Initially, the top of the ladder is 8 feet above the ground. If the top of
lora16 [44]

Step-by-step explanation:

Let vertical height of ladder from ground be y and

horizontal distance of the base of the ladder from the wall be x respectively.

Length of the ladder = l (constant) = 10 ft

<u>Using Pythagoras theorem</u>:

{l}^{2}  =  {y}^{2}  +  {x}^{2}

Differentiate both sides w.r.t time

0 = 2y \frac{dy}{dt}  + 2x \frac{dx}{dt}

y \frac{dy}{dt}  + x \frac{dx}{dt}  = 0

<u>We know that</u> (After 1 sec, y = 6 ft and x = 8 ft ; dy/dt = 2 ft/sec)

6\times 2 + 8\frac{dx}{dt}  = 0

\frac{dx}{dt}  =  - 1.5 ft  \: per \: sec

<u>( Ignore - ive sign)</u>

Therefore, bottom of the ladder is sliding away from the wall at a speed of 1.5 ft/sec one second after the ladder starts sliding.

8 0
3 years ago
Your dog eats 7/8 lb of food in 4 meals , how many meals will it take your dog to eat 1 lb of food
choli [55]

Answer:

x = 32/7, or 4 4/7 meals

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

 7/8 lb           4 meals

------------        -------------

    1 lb                   x

x will be the number of meals necessary for the dog to eat 1 lb of food.

Cross-multiplying, (7/8)x = 4.

Multiplying both sides by 8/7 is an easy way to isolate x:

(8/7)(7/8)x = (8/7)(4)

or

              x = 32/7, or 4 4/7 meals

3 0
3 years ago
write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind o
Dennis_Churaev [7]

Answer:

The speed of plane = 40 m/s

The speed of the wind = 300 m/s

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.

3 0
4 years ago
Read 2 more answers
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