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3 years ago

Find the value of x. What kind of angles are these?

Mathematics

2 answers:

VLD [36.1K]3 years ago

5 0

Answer:

$\displaystyle Corresponding\:Angles; 40 = x$

Step-by-step explanation:

Corresponding Angles are congruent, therefore you set both angle measures equal to each other:

$\displaystyle 135° = [3x + 15]° → 120 = 3x; 40 = x$

I am joyous to assist you at any time.

marshall27 [118]3 years ago

5 0

Hey there!

The answer to your question is $x = 40$

These are two parallel lines cut by a transversal, which means that they are corresponding angles and, therefore, $(3x + 15)$ is equal to $135$ °:

$3x + 15 = 135$

Subtract $15$ from both sides:

$3x = 120$

Divide both sides by $3$ :

$x = 40$

Have a terrificly amazing day!

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Nata [24]

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2 years ago

What is all of this Identify ALL sets of parallel and perpendicular lines in this image.

Tamiku [17]

Parallel lines are lines that run side-by-side without touching or intersecting!

Perpendicular lines intersect/cross and can also make 90° angles (those little green boxes in the picture) in their corners!

Sets of parallel lines:

CD and EF

Sets of perpendicular lines:

CD and AB
EF and AB

5 0

2 years ago

Evaluate the expression, if x = 9, y = 3, and z = 5. z2 • (x-y)

Bad White [126]

$\huge\text{Hey there!}$

$\mathsf{z^2 \times (x - y)}$

$\mathsf{= 5^2 \times (9 - 3)}$

$\mathsf{= 5 \times 5 \times (9 - 3)}$

$\mathsf{= \bold{25}\times(9 - 3)}$

$\mathsf{= 25\times \bf 6}$

$\mathsf{= \bf 150}$

$\huge\text{Therefore, your answer should be: }$

$\huge\boxed{\frak{150}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

3 0

2 years ago

Read 2 more answers

Jerome burns 4 cal/min walking and 10 cal/min running. He walks between 10 and 20 min each day and runs between 30 and 45 min ea

erik [133]

Answer:

20 minutes should spend on walking and 30 minutes on running.

Step-by-step explanation:

Let x represents the minutes spent on walking and y represents the minutes spent on running,

∵ He burns 4 cal/min walking and 10 cal/min running,

So, the total calories burnt,

Z = 4x + 10y

Which has to be maximised.

Now, he walks between 10 and 20 min each day,

i.e. 10 < x < 20,

Also, he runs between 30 and 45 min each day,

i.e. 30 < y < 45,

By graphing 10 < x < 20 and 30 < y < 45,

We obtained the vertices of feasible region,

(10, 45), (20, 45), (10, 30) and (20, 30)

At (10, 45),

Z = 4(10) + 10(45) = 40 + 450 = 490,

At (20, 45),

Z = 4(20) + 10(45) = 80 + 450 = 530,

At (10, 30),

Z = 4(10) + 10(30) = 40 + 300 = 340,

At (20, 30)

Z = 4(20) + 10(30) = 80 + 300 = 380

Hence, maximum calories is 530 when 20 minutes spent on walking and 30 minutes spent on running.

5 0

3 years ago

2 Points

sergeinik [125]

Answer:

Step-by-step explanation:

x²+x²=14²

2x²=196

x²=196/2=98

x=7√2 ft

3 0

3 years ago