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steposvetlana [31]
2 years ago
9

‼️HELEP MEEE⛔️ ⁉️SOS

Mathematics
1 answer:
Zolol [24]2 years ago
7 0

\\ \sf\longmapsto x+40=90(Complementary)

\\ \sf\longmapsto x=90-40

\\ \sf\longmapsto x=50

Now

\\ \sf\longmapsto y+40=180

\\ \sf\longmapsto y=180-40

\\ \sf\longmapsto y=140

Now

\\ \sf\longmapsto x+y=140+50=190

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Leto [7]
You first have to turn 2x + 4y = -8 into y = mx + b before graphing. To do this, you subtract 2x from the left side of the equation because inverse operations. This will bring 2x to the right side. Now, you will have 4 = -2x + 8. However, you cannot have a number with y. Therefore, you must divide -8 and 2 by 4. You will get y = -1/2 x + 2 as your equation. 
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2 years ago
Which ordered pairs are solutions to the inequality y−2x≤−3?
My name is Ann [436]

we will proceed to resolve each case to determine the solution

we have

y-2x \leq -3

y\leq2x-3

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

<u>case a)</u> (5,-3)

Substitute the value of x and y in the inequality

-3\leq2*5-3

-3\leq7 -------> is true

so

The ordered pair (5,-3) is a solution

<u>case b)</u> (0,-2)

Substitute the value of x and y in the inequality

-2\leq2*0-3

-2\leq-3 -------> is False

so

The ordered pair (0,-2) is not a solution

<u>case c)</u> (-6,-3)

Substitute the value of x and y in the inequality

-3\leq2*-6-3

-3\leq-15 -------> is False

so

The ordered pair(-6,-3) is not a solution

<u>case d)</u> (1,-1)

Substitute the value of x and y in the inequality

-1\leq2*1-3

-1\leq-1 -------> is True

so

The ordered pair (1,-1) is a solution

<u>case e)</u> (7,12)

Substitute the value of x and y in the inequality

12\leq2*7-3

12\leq11 -------> is False

so

The ordered pair (7,12) is not a solution

Verify

using a graphing tool

see the attached figure

the solution is the shaded  area below the line

The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality

6 0
3 years ago
Read 2 more answers
BC and DF are parallel lines. B is a point on AD and E is a point of DF. BD=BE. work out angle DBE give a reason. ITS ON MATHSWA
zloy xaker [14]

Answer:

(Angle DBE) ∠DBE = 50°

Step-by-step explanation:

It is crucial for us to be able to interpret plane geometry related question in order to solve them efficiently.

From the question given; we have analysed and come up with a diagrammatic expression and mathematical solution that clearly explains the question .

Given that

BC and DF are parallel lines.

B is a point on AD  

B is a point on AD

BD=BE

work out angle DBE and give a reason.

The diagram can be seen in the attached image below.

SInce ∠BD = ∠DE

Then triangle BDE is an isosceles triangle. In an isosceles triangle ; two sides are equal in length.

The sum of angles in an isosceles triangle = 180° (sum of angles in a triangle)

So;

∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)

From the diagram; we will see that ∠ABC = ∠BDE  (corresponding angle)

Since ; ∠ABC is not given and which is needed to solve this question.

Let's just assume that ∠ABC is 65° , the main thing is to be able to interpret and understand the concept of the question.

Now;

Since

∠ABC = ∠BDE  

∠ABC  = 65°

∠BDE  = 65°

Again;

∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)

∠BDE will be aso equal to  ∠BED ; this is because since the length of the opposite sides of the isosceles triangle are equal, their angles will also be equal.

Therefore;

65° + 65° + ∠DBE = 180° (sum of angles in a triangle)

130 ° + ∠DBE = 180° (sum of angles in a triangle)

∠DBE = 180° - 130°

∠DBE = 50°

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