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inna [77]
3 years ago
9

What is the measure of R?

Mathematics
2 answers:
tigry1 [53]3 years ago
8 0

Answer:

(D)68°

Step-by-step explanation:

Given: In ΔPQR, PQ=PR=5 and ∠PQR=68°.

To find: The measure of ∠R.

Solution:

From the given figure, it can be seen that both PQ and PR have the same measure that is 5 in length.

From the property of triangles that is if the two sides of triangle are equal, then the angles made by those sides are equal in measure.

Since, PQ and PR are equal, therefore ∠PQR=∠PRQ=68°.

Hence. the measure of the angle R is 68°.

Therefore, option D is correct.

Simora [160]3 years ago
5 0
The measure of R is the same as Q so the answer is 68 degrees
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Consider the function f(x)=3x-1 (over)x+4 (a) At which value of x will the function not have a solution? Explain your answer. (b
Irina18 [472]

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(e):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0
3 years ago
Which expressions are equivalent to 5(-2k-3)+2k
bulgar [2K]

Answer:

-8k - 15

Step-by-step explanation:

5(-2k-3)+2k

At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -

[(-) x (-) = (+); (+) x (-) = (-)]

Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.

or, -5*(2k) - (5*3) + 2k

or, -10k - 15 + 2k

or, -8k - 15 (after the deduction)

The answer is = -8k - 15

6 0
3 years ago
Which answer describes the type of sequence?
Vanyuwa [196]
Aritmetic increases by the same number

geometric has 1 number that each term is multiplied by to get the next term

4 to 9 is 5
9 to 13 is 4
not same difference


9/4=13/9?
81/36=52/36?
no


neither aritmetic nor geometric
3 0
3 years ago
Read 2 more answers
If (2x - 3) is a factor of mx^2 - 11x - 6, find the other factor.​
Travka [436]

Answer:

(2x - 3) ^2 - 11x - 6

Step-by-step explanation:

6 0
2 years ago
Marcia has $84 less than three times as much as sue. together they have $132. how much money does marcia have?
Brut [27]
Let x = sue
and then let 3x-84 = marcia
therefore
(x)+(3x-84)=132
4x-84=132
4x=216
x=54

however just solving for x doesnt completely solve. it only shows sues money because x = sue
for marcia
3x-84
3(54)-84
162-84
78

therefore Marcia has 78$.
5 0
3 years ago
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