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kvasek [131]
3 years ago
10

Solve the following system of equations by the substitution method.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0

Answer:

Step-by-step explanation:

5x=y+6   --------- equ 1

2x-3y=4  -------- equ 2

5x - 6 = y

y = 5x - 6

substitute in equ 2

2x-3(5x - 6) =4

2x - 3*5x + 3*6 = 4

2x - 15x + 18 = 4

- 13x = 4 - 18

-13x = -14

x = -14/-13

x = 14/13

substitute  in equ 1

5*14/13 = y+6  

70/13 - 6 = y

y =  ( 70 - 78)/13

y = -8/13

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kondor19780726 [428]

Answer:

54°

Step-by-step explanation:

Your triangle is isosceles. You have been given the third angle, and you have been asked to find the measure of one of the two equal angles. We know that the internal angles of a triangle sum to 180, so 72+x+x=180 \rightarrow 2x=108 \rightarrow x = 54

3 0
3 years ago
Given: KLMN is a trapezoid m∠K = 90°, m∠N = 45° LK = LM = 10 Find: KN, Area of KLMN
Ilya [14]
Let KLMN be a trapezoid (see added picture). From the point M put down the trapezoid height MP, then quadrilateral KLMP is square and KP=MP=10.
A triangle MPN is right and <span>isosceles, because
</span>m∠N=45^{0}, m∠P=90^{0}, so m∠M=180^{0}-45^{0}-90^{0}=45^{0}.Then PN=MP=10.
The ttapezoid side KN consists of two parts KP and PN, each of them is equal to 10, then KN=20 units.
Area of KLMN is egual to A= \frac{LM+KN}{2} *MP= \frac{10+20}{2} *10=150 sq. units.


5 0
3 years ago
How to make 8/11 into and improper fraction
kogti [31]
8/11 cant be an improper fraction because the numerator is smaller than the denominator
7 0
3 years ago
Find the y value for the point that divides the line segment CD into a ratio of 4:1.
7nadin3 [17]

Answer:

We also drew a graph with 2 examples.

Step-by-step explanation:

If we have the line segment  CD, we can divide it by 4: 1 as follows:

If point C has the coordinates (x1, z1) and point D has the coordinates (x2, z2), we calculate coordinate the points Y as follows:

y1 = (x2-x1) · 4/5

y2 = (z2-z1) · 4/5

In this way we have obtained the point Y with the coordinates (y1, y2), and the point Y divides the line segment  CD by 4:1.

We also drew a graph with 2 examples.

3 0
3 years ago
What could be the value for x? 3/14 &lt; x &lt; 3/13
Ksju [112]

Answer:

14^3/100 i think im not 100% sure so if its wrong dont get mad

Step-by-step explanation:

8 0
3 years ago
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