5b=21<br> Reduce the fraction

Solve the following system of equations graphically on the set of axes below. y=x 1 y=-1/2 -8 PLEASE HELP ME QUICKLY

postnew [5]

Step-by-step explanation:

y=x+1

y= -½x -8

x+1= -½x -8

1½x= -9

x = -9/ 1½

x = -6

y = -6+1 = -5

the solution (-6, -5)

7 0

2 years ago

A game-show spinner has these odds of stopping on particular dollar values: 40% for $5, 25% for $100, 20% for $500, and 15% for

Yakvenalex [24]

Answer:

13÷ 23

Step-by-step explanation:

The computation of the odds of player winning is shown below;

For $5 it is 40%

And, for $100 it is 25%

so for total it is

= 40% + 25%

= 65%

And, the total percentage is 100%

So, the odds in favor is

65:100

13:20

Now for winning it would be 13÷ 23

5 0

2 years ago

Mr. Leonard took a job through an employment agency. The job pays $88K per year. He must pay a fee to the employment agency. The

tatuchka [14]

This question shows you how to determine the amount of money Mr. Leonard makes in 4 weeks. It takes his total salary, divides it by 52 (there are 52 weeks in a year), then multiplies it by 4 (you need 4 weeks worth of pay).

This amount is shown as $6769.24.

He must pay the agency 22% of this, so change 22% to 0.22 and multiply it by the amount he makes in 4 weeks.

0.22 x 6769.24 = $1489.23

Mr. Leonard must pay the agency $1489.23 after the first 4 weeks.

8 0

2 years ago

0.35 as a simple fraction

Svetlanka [38]

Convert to a fraction by placing the decimal number over a power of 10 answer is 7/20

5 0

3 years ago

Read 2 more answers

1) The two triangles are congruent. Find the missing side lengths and the missing angle measures.

gregori [183]

<u>Answers:</u>

Two <u>triangles are congruent</u> if they have the <u>same sides</u> and the <u>same size</u>.

In other words: they have the same shape and size, regardless of their position or orientation.

If we want to verify if two triangles are congruent, they must fulfill some conditions:

a) Two triangles are congruent if their three sides are respectively equal

b) Two triangles are congruent if two of their sides and the angle between them are respectively of equal length.

c) Two triangles are congruent if they have a congruent side and the angles with vertex at the ends of that side are also congruent.

d) Two triangles are congruent if they have two sides respectively congruent and the angles opposite the greater of the sides are also congruent

<h2>According to these criteria, it is not necessary to verify the congruence of the three sides and three angles of each triangle </h2>

Now, knowing these criteria, let’s answer the questions:

1) Here both triangles are<u> congruent</u> and are <u>Right Triangles</u> (have a right angle or a $90\º$ angle), as well.

This means angle $u=90\º$ and according to the <u>criterion b</u> listed above, the angle $t=35\º$ and angle $v=55\º$ .

This can be proven by the rule that states the sum of the three interior angles of a triangle is $180\º$ .

Then, according <u>criterion a</u>, $w=10.4m$ and $s=6m$ .

<u>This can be proven by the use of </u><u>two trigonometric functions,</u> sine and cosine:

$w=\frac{6m}{sin(35\º)}=10.4m$

Where $6m$ is the <u>Opposite side</u> to the $35\º$ angle and $w$ is the <u>hypotenuse</u>.

$s=cos(55\º)(10.4m)=5.9m$ ≅6m

Where $s$ is the <u>Adjacent side</u> to the $55\º$ angle and $10.4m$ is the <u>hypotenuse</u>.

<h2>Therefore, the answer is B: </h2>

$s=6m$ , $t=35\º$ , $u=90\º$ , $v=55\º$ , $w=10.4m$

2) According to the second figure shown, both triangles are congruent and fulfill the four criteria described above.

Therefore, the answer is:

3) “Knowing that line segment AB is the same length as line segment CD is enough to prove that triangles ABD and BCD are congruent”

This statement is <u>True</u>, because <u>both triangles share the line segment BD</u>.

<h2>This means <u>they have two equal sides</u>, and according to <u>criterion b</u> they are congruent </h2>

6 0

3 years ago

5b=21 Reduce the fraction