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3 years ago

In quadrilateral MNOP,

1 answer:

6 0

4) Since we've established before that a square can be a rhombus or a parallelogram, the criteria that two adjacent angles must be equal holds for both. This shape can be a trapezoid in the special case where one pair of sides is congruent and parallel and the other is congruent but creates a shape such that opposite angles are supplementary and adjacent angles are congruent.

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Given right triangle MNL what is the value of Cos(M)

Sholpan [36]

Step $1$

Find the value of MN

In the right triangle MNL

Applying the Pythagorean Theorem

$ML^{2} =MN^{2} +NL^{2}$

Solve for MN

$MN^{2}=ML^{2}-NL^{2}$

in this problem we have

$ML=25\ units\\NL=15\ units$

Substitute in the formula above

$MN^{2}=25^{2}-15^{2}$

$MN^{2}=400$

$MN=20\ units$

Step $2$

Find the value of cos (M)

we know that

In the right triangle MNL

$cos(M)=\frac{adjacent\ side\ angle\ M}{hypotenuse}=\frac{MN}{ML}=\frac{MN}{25}$

Substitute the value of MN

$cos (M)=\frac{20}{25}=\frac{4}{5}$

therefore

the answer is

The value of cos(M) is $\frac{4}{5}$

3 0

3 years ago

Read 2 more answers

Round it to the nearest tenth

Gennadij [26K]

Answer:

none of these

Step-by-step explanation:

4 0

2 years ago

1. (1 pt) Which is a solution to the equation y=3x+1 ?A. (3, 10) B. (2, 6) C. (1, 5) D. (0, 3)

frozen [14]

Answer:

the easy way to figure this out is to just plug in answers.

start with a, (10)=3(3)+1

10=9+1

10=10

this makes this a true statement

feel free to try the other options but this is your answer

A. (3,10)

7 0

3 years ago

Theresa Morgan a chemist has a 10% hydrochloric acid solution and a 65% hydrochloric acid solution. How many liters of each shou

prisoha [69]

ANSWER:

170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution to obtain 1870 liters of 60% solution.

SOLUTION:

First, set up a table. Fill in the unknowns with variables x and y. The table is attached below

From this, we can easily set up the two equations.

Sum of values of two acids = Value of mixture

0.1x + 0.65y = 1122

For convenience, we'll multiply the entire equation by 100,

10x + 65y = 112200 ------ (1)

Now, Sum of amounts of each acid = Amount of mixture

x + y = 1870 ---------(2)

multiply (2) with 10 for easy calculation and derive the equation into one variable.

10x + 10y = 18700

Subtracting equation (2) from (1),

( + ) 10x + 65y = 112200

( − ) 10x + 10y = 18700

we get the solution as,

0 + 55y = 93500

Thus, 55y = 93500

y = 1700

Substituting y = 1700 in (2),

x + 1700 = 1870

x = 1870 - 1700

x = 170

So, we have x = 170 and y = 1700

We can conclude that 170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution to obtain 1870 liters of 60% solution.

4 0

3 years ago

What’s the best answer?

kow [346]

I think the last one

5 0

3 years ago