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Mathematics

2 answers:

zlopas [31]2 years ago

6 0

Answer:

4) Diagonals are congruent is NOT always true

Step-by-step explanation:

Diagonals are only congruent if it's square, so this one is not always true.

brilliants [131]2 years ago

4 0

Answer:

Step-by-step explanation:

In a rhombus, the diagonals are congruent. It is not always true. If the diagonals become congruent then It becomes square. Hope this helps!

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Please I need help <br> Will give brainlest answer !!!

Alecsey [184]

Answer:

Step-by-step explanation:

5 integers with an average of 44

⇒ sum of the integers = 5 x 44 = 220

The median is the middle number when the numbers are put in order of smallest to largest. So the integers are: x x 50 x x

The modal integer is the one that occurs most frequently, so if the mode is 52, then at least 2 of the integer are 52. Since the median is 50, the integers are: x x 50 52 52

Therefore, the remaining two integers are less than 50.

The range is the difference between the largest integer and the smallest integer. As we know that the largest integer is 52 and the range is 27, then the smallest integer is 52 - 27 = 25

25 x 50 52 52

To find the last unknown integer :

⇒ sum of the integers = 25 + 50 + 52 + 52 + x = 220

⇒ x = 41

Therefore, the integers are:

25, 41, 50, 52, 52

5 0

2 years ago

Max spends three times as long on his math homework than he does on his science homework. If he spent total of 64 minutes on mat

Serjik [45]

Answer:

options ?

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$