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Maru [420]
3 years ago
11

Name The postulate or theorem you can use to prove the triangles congruent

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0
The answer is HL. HL is a theorem stating that if the hypotenuse and one leg are congruent to another pair of hypotenuse and leg then the triangles themselves are congruent. Hope this helps. 
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How many terms are in the arithmetic sequence 1313, 1616, 1919, ……, 7070, 7373?
Nataliya [291]
To find the number of terms in the arithmetic sequence, we need to use the formula 
a_{n}= a_{1}+(n-1)d    
where a_{n} is the nth number, a_{1} is the first number, n is the number of terms and d is the difference of the two consecutive numbers.
7373 = 1313 + (n - 1)(303)
7373 = 1313 + 303n - 303
7373 = 1010 + 303n
7373 - 1010 = 303n
6363 = 303n
6363 ÷ 303 = n
n = 21

Therefore, there are 21 terms in the arithmetic sequence given.
7 0
3 years ago
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2 years ago
(a) The perimeter of a rectangular garden is 304 m.
kupik [55]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Help stuck on methods question ​
andreev551 [17]

Answer:

x=3

Explanation:

Let's write an equation for the area of this figure.

This figure can be divided into 2 rectangles, a vertical and horizontal rectangle.

Area of rectangle= length× breadth

Area of vertical rectangle= 6x

Length of horizontal rectangle= (7 -x) cm

Area of horizontal rectangle= x(7-x)

Since total area= 30 cm^2,

6x+ x(7-x)= 30

6x +7x -x^2= 30 (expand)

-x^2 +13x-30= 0 (bring all terms to one side)

x^2 -13x +30= 0 (divide by -1)

(x -10)(x -3)= 0 (factorise)

x -10= 0 or x -3= 0

x= 10 or x= 3

(reject)

We reject x=10 since from the diagram, x cm is less than 6cm.

4 0
3 years ago
Is the ordered pair (0.5, 8.5) a solution to the following equations?
diamong [38]

Answer:

It's yes

Step-by-step explanation:

6 0
3 years ago
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