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3 years ago

Angle LMP and angle PMN are complementary. Find the value of x.

Mathematics

1 answer:

podryga [215]3 years ago

7 0

x=15

Complementary means they add to make 90 degrees.
This means 2x+4x=90

2x+4x=90
combine like terms
6x=90
divide 6 from both sides
x=15

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Solve: x/6 + 2 ≥ -16

LiRa [457]

Inequality Form:
x≥−108
Interval Notation:
[−108,∞)

3 0

3 years ago

Help i am confused and im not sure how to answer this

gayaneshka [121]

Answer:

y=(x-4)²

Step-by-step explanation:

(a-b)²=a²-2ab+b²

(x-4)²=x²-2×x×4+4²

(x-4)²=x²-8x+16

7 0

3 years ago

Read 2 more answers

F(x)=x2-10 and g(x)=11-x find (f-g)(x)(f-g)(10) and (f/g)(x) if they exist

tester [92]

Answer:

$(f - g)(x) = x^2 + x-21$

$(f - g)(10) = 89$

$(f/g)(x) = \frac{x^2 - 10}{11 - x}$

Step-by-step explanation:

Given

$f(x) = x^2 - 10$

$g(x) = 11 - x$

Solving (1): (f-g)(x)

$(f - g)(x) = f(x) - g(x)$

Substitute values for f(x) and g(x)

$(f - g)(x) = x^2 - 10 - (11 - x)$

Open Bracket

$(f - g)(x) = x^2 - 10 - 11 + x$

$(f - g)(x) = x^2 -21 + x$

Reorder

$(f - g)(x) = x^2 + x-21$

Solving (2): (f-g)(10)

In (1)

$(f - g)(x) = x^2 + x-21$

So:

$(f - g)(10) = 10^2 + 10-21$

$(f - g)(10) = 100 + 10-21$

$(f - g)(10) = 89$

Solving (3): (f/g)(x)

$(f/g)(x) = \frac{f(x)}{g(x)}$

Substitute values for f(x) and g(x)

$(f/g)(x) = \frac{x^2 - 10}{11 - x}$

6 0

3 years ago

Please answer quickly this is due today and I just can’t figure it all out I only have 2 inequalities not 4!!

SSSSS [86.1K]

Answer:

Step-by-step explanation:

These are physical measurements, which must be zero or greater. These restrictions are the reason for your having a total of four inequalities.

3 0

3 years ago

a bakery used 8 1/2 cups of flour to make a full sized cake. if they made a cake that was three-quarter the sized, how many cups

faltersainse [42]

Answer:

$6 \frac{3}{8}$

Step-by-step explanation:

Let's start by turning 8 1/2 into an improper fraction, which would be 17/2. To find the amount of cups needed for a cake that is 3/4 of a full cake, we multiply 17/2 by 3/4.

$\frac{17}{2} *\frac{3}{4} = \frac{17*3}{2*4} = \frac{51}{8}$

Turn the fraction into a mixed number:

$6 \frac{3}{8}$

That should be the correct answer. Hope this helps!!!

4 0

3 years ago