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bazaltina [42]
4 years ago
5

Help asap! 20 points!

Mathematics
2 answers:
kap26 [50]4 years ago
5 0
<span>∆PQR is an equilateral triangle
so all sides are equal

</span><span>PR = (x + 3)
RQ = (2x - 5)
PQ = (3x - 13)

x + 3 = 2x - 5
2x - x = 3 + 5
x = 8

PR = RQ + PQ = 8 + 3 = 11

answer
</span><span>A) 11</span>
nekit [7.7K]4 years ago
4 0
The answer is A) 11.
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if 7 &lt; 5, then 5 &lt; 3 state the inverse, contrapositive, and converse of each conditional statement. then indicate whether
RUDIKE [14]

The given conditional statement is : If 7<5, then 5<3.

Inverse: If 7≥5 then 5≥3 (The inverse is true)

Contrapositive: if 5≥3 then 7≥5 (The contrapositive is true)

Converse: if 5<3 then 7<5 (The converse is true)

From the properties of conditional statement we know that:

if p→q then

  • inverse is : \backsim p \rightarrow \backsim q
  • contrapositive:\backsim q \rightarrow \backsim p
  • Converse:q \rightarrow p

Let us elaborate on the above conditions. Let us take two statement p and q  such that If p happens then q also happens.

  • The inverse of a conditional statement is given as "if not p then not q"the converse is given as "if q then p"The contrapositive of the statement states "if not q then not p"
  • The following statements can be used for converting the conditional statements to its inverse, converse or contrapositive.

To learn more about conditional statements:

brainly.com/question/7066208

#SPJ4

3 0
1 year ago
Problem A. Consider the following initial value problem for a damped driven linear oscillator: m 2 + b** + kx} = f sin(St); x(0)
skad [1K]

Answer:

a = L

b = MT^(-1)

c = LT^(-1)

k = MT^(-2)

f = MLT^(-2)

S = T^(-1)

Step-by-step explanation:

x (0) = a

x is denoted by displacement in vibration analysis hence attains units of x.

Hence, a = L

b is the damping coefficient:

b = \frac{F}{\frac{dx}{dt} } \\= MLT^(-2) / LT^(-1)\\= MT^(-1)

x'(0) = c

dx/dt = velocity hence c attains the units of velocity

c = LT^(-1)

Coefficient k is the stiffness:

k = \frac{F}{x}  = \frac{MLT^(-2)}{L} = MT^(-2)

Coefficient f is the magnitude of the exciting force

F = m*acceleration = MLT^(-2)

Coefficient S is the angular frequency

angular frequency is displacement in radians per seconds; hence,

S = T^(-1)

7 0
3 years ago
Long division by single digit <br>​
Sauron [17]

Answer:

Here's an example of long division:

Step-by-step explanation:

Let's just do 48 divided by 6. First you have to multiply the 6 (the number we're dividing with) until it reaches the closest to 48 (6 x 8 = 48). Now you subtract 48 from 48, and you get zero. So 48 divided by 6 would be 0.

Hope this answers your question!

7 0
3 years ago
What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?
HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points \left (x_{1},y_{1} \right ) and \left (x_{2},y_{2}\right )

Since from the graph the two points closest to the line are\left ( 10,36 \right ) and \left ( 22,12 \right ).

Equation of line with two points closest to the line :

                                                    y-y_{1}=m\cdot \left ( x-x_{1} \right )

where m is the slope.

First we find the slope(m)=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  

m=\frac{12-36}{22-10}

on simplify we get,  m=-2.

Now, to find  the equation of the line:  y-y_{1}=m\cdot \left ( x-x_{1} \right )

y-36=\left ( -2 \right )\cdot \left ( x-10 \right )

Apply distributive property on right hand side, we get

y-36=-2\cdot x+20

Adding both sides by 36, we get

y=-2x+20+36

y=-2x+56.

The equation for the linear  model in the scatter plot obtained by the two closest point \left ( 10,36 \right ) and \left ( 22,12 \right ) closest to the line is,

y=-2x+56










7 0
3 years ago
Read 2 more answers
Rapunzel makes $5.78 per hour. Gretta makes $15.46 per hour. How
Alekssandra [29.7K]

Answer:

$9.68 more an hour

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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