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3 years ago

Item 1

Mathematics

2 answers:

kondaur [170]3 years ago

8 0

Y less than or equal to -8

Ann [662]3 years ago

6 0

Answer:

look at the attachment

Step-by-step explanation:

hope it helps!

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Please help! I think I have the equation set up.

ExtremeBDS [4]

$\bold{\huge{\underline{ Solution }}}$

<h3>Given :-</h3>

Here, we have given one quadrilateral that is quadrilateral ABCD
We also have given the angles of quadrilateral that is ( 6x + 5)° , ( 9x - 10)° , 80° and a right angle

Here, we have to find the value of x

<h3>Let's Begin :- </h3>

We have given quadrilateral ABCD here , whose angles are as follows

Angle A = ( 6x + 5)°
Angle B = ( 9x - 10)°
Angle C = 80°
Angle D = A right angled triangle

[ The measure of right angled triangle is 90° ]

We know that, 

Sum of the angles of quadrilateral is equal to 360°

That is 

$\bold{\angle{ A + }}{\bold{\angle{B +}}}{\bold{\angle{C + }}}{\bold{\angle{D + = 360{\degree}}}}$

Subsitute the required values 

$\sf{ ( 6x + 5){\degree} + 80{\degree}+ 90{\degree} + (9x - 10){\degree} = 360{\degree}}$

$\sf{ 6x + 5 + 170{\degree} + 9x - 10 = 360{\degree}}$

$\sf{ 15x - 5 = 360{\degree} - 170{\degree}}$

$\sf{ 15x - 5 = 190 {\degree}}$

$\sf{ 15x = 190 {\degree} + 5 }$

$\sf{ 15x = 195 {\degree}}$

$\sf{ x = }{\sf{\dfrac{ 195}{15}}}$

$\sf{ x = }{\sf{\cancel{\dfrac{ 195}{15}}}}$

$\bold{ x = 13 }$

Hence, The value of x is 13 .

$\bold{\huge{\underline{\red{ Verification }}}}$

Measure of Angle A

$\sf{ = (6x + 5){\degree}}$

$\sf{ = (6(13) + 5 ){\degree}}$

$\sf{ = (78 + 5 ){\degree}}$

$\sf{ = 83{\degree}}$

Measure of Angle D

$\sf{ = (9x - 10){\degree}}$

$\sf{ = (9(13) - 10){\degree}}$

$\sf{ = (117 - 10 ){\degree}}$

$\sf{ = 107{\degree}}$

Now, we know that, 

Sum of angles of triangles is equal to 360°

That is, 

$\sf{ 83{\degree} + 80{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}$

$\sf{ 163{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}$

$\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}$

$\bold{ 360{\degree} = 360{\degree}}$

$\bold{ LHS = RHS }$

Hence, Proved.

8 0

2 years ago

Steven has some money if he spends 9.00,then he will have three over five of the amount he started with

Lesechka [4]

what does the question want me to answer? tell me that and I can help you

3 0

3 years ago

(4x^2 -5x + 1)-(2x^2 +9x-6)

Oksana_A [137]

Answer:

2x^2 -14x +7

Step-by-step explanation:

(4x^2 -5x + 1)-(2x^2 +9x-6)

4x^2 -5x + 1 -2x^2 -9x +6

we have:

2x^2 -14x +7

6 0

3 years ago

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The expression (x^22) (x^7)^3 is equivalent to x^p what is the value of p?

kolbaska11 [484]

The expression (x^22) (x^7)^3 is equivalent to x^p what is the value of p

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3 years ago

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What is the slope of the line graphed on the coordinate plane?

marissa [1.9K]

y= mx + b

m is always the slope

b is the y intercept

4 0

3 years ago