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d1i1m1o1n [39]
3 years ago
12

In which of the following quadrilaterals are consecutive and opposite angles always congruent?

Mathematics
2 answers:
kati45 [8]3 years ago
6 0
All the angles are congruent in square and rectangle, rhombus has consecutive angles so we can say that all of them have consecutive angles congruent except the parallelogram.
Mama L [17]3 years ago
6 0
The correct answers are A. Rectangle and D. Square

Parallelograms and Rhombuses have supplementary angles
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Step-by-step explanation:

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GuDViN [60]

First of all we will understand the question!!

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<em>\rm \: p(x) =  - 5 {x}^{2}  + 30x + 8</em>

  • <u>Identify the coefficients a and b of the quadratic function</u>

<em>\rm \: p(x) =   { - 5x}^{2}  + 30x + 8  \\  \rm \: a =  - 5 \: and \: b \:  = 30</em>

  • <u>Since a<0, the function has the maximum value at x, calculated by substituting a and b into x=-b/2a</u>

<u>\rm \: x =  \frac{30}{ 2 \times  (- 5)}</u>

  • <u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>x</u><u> </u>

<u>\rm \: x = 3</u>

  • <u>The maximum of the quadratic function is at </u><u>x</u><u>=</u><u>3</u>
3 0
2 years ago
Find the number of integral solutions of x+y +z = 12, where −3 ≤ x ≤ 4, 2 ≤ y ≤ 11, and<br> z ≥ 3.
SashulF [63]

There are 59 integer solutions

Such questions are best solved by writing cases and calculating the total number of cases. So beginning with

1)  x = -3. The possible combinations are as follows:-

-3 2 13

-3 3 12

-3 4 11

-3 5 10

-3 6 9

-3 7 8

-3 8 7

-3 9 6

-3 10 5

-3 11 4

10 combinations

2) x = -2

-2 2 12

through

-2 11 3

10 combinations

3) x = -1

-1 2 11

through

-1 10 3

9 combinations

4) x = 0

0 2 10

through

0 9 3

8 combinations

as we can see from the pattern at x =1  we get 7 combinations, at x =2  we get 6 combinations, at x=3 we get 5 combinations and at x =4  we get 5 combinations.

Thus total number of combinations 4+5+6+7+8+9+10+10 = 59 integer solution.

Learn more about combinations here :

brainly.com/question/13387529

#SPJ1

5 0
2 years ago
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