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tatyana61 [14]
3 years ago
10

The sum of 33 consecutive even numbers is 7878. What is the second number in this sequence?

Mathematics
1 answer:
kondaur [170]3 years ago
7 0
78 ÷3 =26

26 is the answer
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What is the solution for x in the equation?<br><br> 10x − 4.5 + 3x = 12x − 1.1
Aleksandr [31]

Answer:in first part of equation add 10x and 3x (like terms)

13x-4.5=12x-1.1

move all terms containing x to left side of equation

13x-4.5-12x= -1.1

x-4.5= -1.1

Subtract 4.5 from both sides

x=3.4

Step-by-step explanation:

8 0
3 years ago
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Given: LN⊥KM,KL≅ML Prove: ΔKLN≅ΔMLN
miss Akunina [59]

Answer:

The Proof is given below.

Step-by-step explanation:

Given:

LN⊥KM,

KL≅ML

To Prove:

ΔKLN≅ΔMLN

Proof:

In  Δ KLN and Δ MLN

KL ≅ ML     ....……….{Given i.e Hypotenuse }

LN ≅ LN     …………..{Reflexive Property}

∠ LNK ≅ ∠ LNM  ……….{ LN ⊥ KM i.e Measure of each angle is 90° given}

Δ KLN ≅ Δ MLN     ….{By Hypotenuse Leg Theorem} ....Proved

6 0
3 years ago
Estimate the perimeter of the figure to the nearest whole number.
Paha777 [63]

Answer:

The perimeter (to the nearest integer) is 9.

Step-by-step explanation:

The upper half of this figure is a triangle with height 3 and base 6.  If we divide this vertically we get two congruent triangles of height 3 and base 3.  Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles:  (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.

Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.

The lower half of the figure has the shape of a trapezoid.  Its base is 4.  Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle.  Using the Pythagorean Theorem, we get

(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10.  Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.

Then the perimeter consists of the sum 2√10 + 4 + 6√2.

which, when done on a calculator, comes to 9.48.  We must round this off to the nearest whole number, obtaining the final result 9.

4 0
3 years ago
Using numbers and operations to write each phrase as an expression the difference between 58 and 47
evablogger [386]
58 - 47 = 11
(written out in spoken words)
fifty-eight minus forty-seven equals eleven

Hope this helps!

4 0
3 years ago
Solve the proportion: 12/R = 5/60
salantis [7]
I was to tired to write it down

6 0
3 years ago
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