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100 POINTS

Which theorem/postulate can be used to prove ∆PQR ≅ ∆STU?
What is the perimeter of ∆PQR?

Answer:

x = 5; y = 5

Step-by-step explanation:

One angle is a right angle, so its measure is 90 degrees.

One angle measures 45 degrees, so the unknown angle must also measure 45 degrees.

x and y are opposite two 45-degree angles, so x = y.

In a 45-45-90 triangle, the ratio of the lengths of the sides is

1 : 1 : sqrt(2)

We have

x : y : 5sqrt(2)

x/1 = 5sqrt(2)/sqrt(2)

x = 5

y = 5

Answer:

Can you show the options?

Step-by-step explanation:

Angle 1 and 4 are equal and angle 4 and 6 add up to 180

Answer:

congruent, corresponding, supplementary, same side interior

Step-by-step explanation:

Answer:

y = -3x + 2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - 8 / 1 - (-2)

-9/3

= -3

y = -3x + b

-1 = -3(1) + b

-1 = -3 + b

2 = b

Answer:

first odd integer=x

second odd integer=x+2

third odd integer=x+4

x+x+2+x+4=2097

x+x+x+2+4=2097

3x+6=2097

3x=2097-6

3x=2091

3x/3=2091/3

x=697

therefore, x=697

x+2=697+2=699

x+4=697+4=701

Answer:

a. he earn 14578.00 in that month.

Answer:

14x-42

Step-by-step explanation:

7(2x-7+1 )

7(2x-6)

14x-42

Answer:

Sara is now 4, will be 8 in 4 years. Ralph is now 12, will be 16 in 4 years.

Answer:

C

Step-by-step explanation:

The 2 angles lie on a straight line and sum to 180° , then

5x + 19 + 8x = 180

23x + 19 = 180 ( subtract 19 from both sides )

23x = 161 ( divide both sides by 23 )

x = 7

Then

∠ OML = 15x + 19 = 15(7) + 19 = 105 + 19 = 124° → C

Answer:

A

Step-by-step explanation:

The inscribed angle IJK is half the measure of its intercepted arc, so

arc IK = 2 × 75° = 150°

The 3 arcs sum to  360° , then

arc IJ = 360° - (150 + 110)° = 360° - 260° = 100° → A

Answer:

Answer:

$46.50

Step-by-step explanation:

pls mark brainliest

Answer:

60

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

[tex]7500 {y}^{9} [/tex]

Step-by-step explanation:

[tex] { - 5}^{4} \times {4y}^{10} \times { - 3y}^{ - 1} [/tex]

[tex] = 12 \times {5}^{4} {y}^{9} [/tex]

[tex] = 12 \times 625 {y}^{9} [/tex]

[tex] = 7500 {y}^{9} [/tex]

Answer:

Any two consecutive angles are complementary.

--------------------

Opposite sides of a parallelogram are parallel, Opposite sides are congruent. Opposite angles are congruent.

OAmalOHopeO

Answer:

the Mode Is 3

Step-by-step explanation:

You Have To Put the numbers from ascending order to descending order..The Numbers that appears the most is the mode

Answer:

B.

Step-by-step explanation:

Answer:

The other sides are 6cm and 8cm

Step-by-step explanation:

Let the other 2 sides be x and y.

Using herons formula, we have an equation

24=sqrt(12*2*(12-x)*(12-y))

Since the perimeter is given, we have x+y=24-10=14. Solving it we have x=6,8 and y=8,6.

the answer is option b

Answer:

X is 11.8

Step-by-step explanation:

You already have the formula so just put in the values and rearrange to get the answer. c is what you are looking for so that is x. a can be 3 and b is 10. CosC is Cos(120) the rest work it out on calculator.

Answer:

The correct choice is option B. quadratic trinomial

Step-by-step explanation:

The answer is in quadratic trinomial because a quadratic trinomial is an expression in the form of ax^2 + bx + c and this is exactly how our final solution looks like.

Answer:

Step-by-step explanation:

Let's break this down. The secant of a negative angle is the same as the secant of the positive angle. This is because secant is the inverse of cosine, and cosine is an even function. f(-x) = f(x) if the function is even, and f(-x) = -f(x) if the function is odd. Sine is odd and has symmetry about the origin; cosine is even and has y-axis symmetry.

Therefore, sec(-θ) = sec(θ) and we have then

sec(θ) - cos(θ). Since secant is the inverse of cosine, we can write:

[tex]\frac{1}{cos\theta}-cos\theta[/tex] and finding a common denominator:

[tex]\frac{1-cos^2\theta}{cos\theta}[/tex] and using a trig identity:

[tex]\frac{sin^2\theta}{cos\theta}[/tex] and simplify that down a bit by breaking it up:

[tex]\frac{sin\theta}{cos\theta}*sin\theta[/tex] finally boils down to

tanθ · sinθ, the last choice there.

Answer:

she bought 19/12 lengths of ribbon or aka 1 7/12

Step-by-step explanation:

3/4 + 1/3 + 1/2 = 13/12 + 1/2

13/12 +1/2 = 19/12

19/12 simplify is 1 7/12

Margo bought [tex]1\frac{2}{3}[/tex] yards of ribbon.

A fraction represents how much part of total quantity is present.Fractions are of two types proper fraction and improper fraction.

According to the question given Margo bought some ribbons of length    3/4 yd, 1/3 yd and 1/2 yd.

To find the total ribbon she bought in yards we have to take the sum of all the fractions.

∴ (3/4) + (1/3) + (1/2) yards.

Now to sum these fractions we have to take LCM of the denominators which is 12.

So, { (3×3) + (1×4) + (1×6) }/12.

= (9 + 4 + 6)/12.

= 19/12 or 1 whole 2/3 yards of ribbon.

learn more about fractions here :

https://brainly.com/question/8482939

#SPJ2

Answer:

The answer simplified would be:

-4y^2+3y+5

If you combine the like terms, you will get this answer.

You have to add 8y^2 to -12y^2 and you get -4y^2.

Hope this helps you! :)

Answer:

E - (8,-9)

F - (9,-9)

G - (9,-4)

Step-by-step explanation:

The first number in the bracket relates to the x-axis

The second number relates to the y-axis

Answer: 2.1 cm per minute

Step-by-step explanation:

567/27 =21 mm

convert mm to cm (1mm = 0.1c,)

21mm = 2.1cm

Answer:

2.1 cm or 21 mm

Step-by-step explanation:

567 ÷ 27 = 21

Therefore the turtle can crawl 21 mm in a minute.

To covert mm to cm, we simply divide by 10.

21 ÷ 10 = 2.1

Answer:

28

Step-by-step explanation:

Subtracting a negative is like adding

25 - -3

25+3

28

Answer:

28

Step-by-step explanation: Not sure about this, but technically the question is written wrong. The "difference" is a form of subtraction, and if you simplify your question you get a question to do with addition.

25-(-3)

= 25+3   (since negative and negative makes positive)

=28

PS  Again, not sure about this question.

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]-2\dfrac{5}{8}*(-2\dfrac{3}{5})=\dfrac{-21}{8}*\dfrac{-13}{5}\\[/tex]

                    [tex]=\dfrac{(-21)*(-13)}{8*5}\\\\\\=\dfrac{273}{40}\\\\=6\dfrac{33}{40}[/tex]