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Bumek [7]
3 years ago
9

What must m∠QPS be for PQRS to be a parallelogram?

Mathematics
1 answer:
solmaris [256]3 years ago
5 0

Answer:

18

Step-by-step explanation:

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M(6,5) is the mid-point of the straight line joining A(2 , 3) to the
charle [14.2K]

Given :

M(6,5) is the mid-point of the straight line joining A(2 , 3) to the

point B.

To Find :

The coordinates of B.

Solution :

Let, coordinates of point B is ( h , k ) .

It is given that M is the mid - point of the straight line joining points A and B.

Coordinates of M is given by :

M = (\dfrac{2+h}{2},\dfrac{3+k}{2})\\\\(6,5 ) = (\dfrac{2+h}{2},\dfrac{3+k}{2})\\\\\dfrac{2+h}{2} = 6 \ , \  \dfrac{3+k}{2} = 5\\\\h = 10 \ ,\ k = 7

Therefore, coordinates of point B is ( 10 , 7 ).

7 0
2 years ago
Helpo pleasssse
Tcecarenko [31]

Answer: The range is  \{y \in \mathbb{R}\ | \ y \le -6\}

Explanation:

The parabola opens down, forming a "frowny face" in a way (just without the eyes). Or you can think of it as a hill or mountain. This means that the vertex (-3,-6) is at the top of that mountain. It's the highest point of that parabola.

The range is the set of all possible y values. We see that y = -6 is the largest it can get. So y = -6 or y is smaller than this. We would then write y \le -6 to describe all the possible y values.

Therefore, the range is \{y \in \mathbb{R}\ | \ y \le -6\}

This translates to "y is a real number such that y is -6 or smaller".

So the second answer you wrote is close, but you forgot the "or equal to" portion of the inequality sign.

See below for a visual example of what's going on.

5 0
2 years ago
If 6 times a number is added to -4, the result is 10 times the number. Find the number.
andrew11 [14]

the number is - 1

let the number be n then 6 times the number is 6n and added to -4 is

- 4 + 6n = 10n ( equal to 10 times the number )

subtract 6n from both sides

- 4 = 4n ( divide both sides by 4 )

\frac{-4}{4} = n , hence n = - 1


5 0
3 years ago
Parts of an algebraic expression separated by plus or minus signs are
goblinko [34]

Answer:  called tthe term of an algebraic expression.

<h3 /><h3>Step-by-step explanation: We know an algebraic expression is a collection or combination of constant and variables of one or more terms, which are separated by the fundamental operations (+, –, × and ÷).</h3><h3 /><h3>Some of the examples of algebraic expression are 7b + 5m, 5x + 3y + 10, 5x/y + 3, x + y + z, etc.</h3><h3>Terms of an algebraic expression:</h3><h3>Each part of an algebraic expression which are separated by plus sign (+) or minus sign (-) is called the term of an algebraic expression. It’s important to remember that the division sign (÷) or multiplication sign (×) does not separate the terms of an algebraic expression.</h3>

Examples of algebraic expressions and their terms:

(i)  x + 10

We observe that the number of terms used in the expression x + 10 is 2. The terms are x and 10.

(ii)  5m + 2n - 7

We observe that the number of terms used in the expression 5m + 2n – 7 is 3. The terms are 5m, 2n and 7.

(iii)  3a/b

We observe that the number of term used in the expression 3a/b is 1. The term is 3a/b.

(iv) 3xy + 7xz + 2yz - 6

We observe that the number of terms used in the expression 3xy + 7xz + 2yz - 6 is 4. The terms are 3xy, 7xz, 2yz and 6.

)  2abc + 1

We observe that the number of terms used in the expression 2abc + 1 is 2. The terms are 2abc and 1.

Therefore, the algebraic expressions are either simple or compound.

(i) Simple algebraic expressions consist of one term.

(ii) Compound algebraic expressions consist of two or more terms.

3 0
2 years ago
Look at the figure. Which step should be taken next to construct a line through point R that is perpendicular to ST ?
Alika [10]

Answer:

where is the figure without figure how to find out

8 0
2 years ago
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