Rectangle PQRS Is Shown With Diagonals, PR And QS. What Type Of Triangle Is Triangle STR? (2024)

Answer:

60 meters

Step-by-step explanation:

We are looking for the height when x = 0. When x is equal to zero, we get the y-int and height of 60.

Answer:

60

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square oh the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² = (9[tex]\sqrt{2}[/tex] )² + (9[tex]\sqrt{2}[/tex] )² = 162 + 162 = 324 ( take the square root of both sides )

h = [tex]\sqrt{324}[/tex] = 18 → D

Answer:

5/54

Step-by-step explanation:

probability of the dice being 5 = 1/6

probability of the dice being a factor of 6 = 4/6

probability of the dice being more than 1 = 5/6

1/6 * 4/6 = 4/36

4/36 * 5/6 = 20/216

20/216 simplified to lowest is equal to 5/54

Answer:

2340°

Step-by-step explanation:

To find the sum of interior angles of any shape, use the formula: 180(n - 2), where n is how many sides there are. So,

180(15 - 2)

180(13)

2340

Answer:

2,340

Step-by-step explanation:

Using Formula

=> [tex](n-2)*180[/tex]

Where n is the number of sides. Here, no. of sides is 15

=> [tex](15-2)*180[/tex]

=> [tex]13*180[/tex]

=> 2,340

Answer:

-20

Step-by-step explanation:

f(x)= 2x^2 + 5x - 17,

f(-1)

Let x = -1

f(-1)= 2 *(-1)^2 + 5(-1) - 17

= 2 *1 -5 -17

= 2 -22

= -20

Answer:

-20

Step-by-step explanation:

f(x)= 2x² + 5x - 17

Put x as -1.

f(-1)= 2(-1)² + 5(-1) - 17

Solve for the powers.

f(-1)= 2(1) + 5(-1) - 17

Multiply the terms.

f(-1)= 2 + -5 - 17

Add or subtract the terms.

f(-1)= -20

Answer:

[tex]x = \frac{3t}{b} [/tex]

Answer: answer is c

Step-by-step explanation:

Answer:

Step-by-step explanation:

An absolute value function has the standard form

where h and k are the coordinates of the vertex (the pointy part of the graph) and the absolute value of a indicates whether or not the graph is the same width as the parent graph or if it is steeper or flatter. If the absolute value of a is greater than 1, the graph is steeper; if the absolute value of a is greater than 0 but less than 1 (in other words a fraction less than 1), the graph is flatter than the parent. If the graph is upside down, there will be a negative out in front of the absolute value of a. Because our graph is in fact upside down, we will choose one of the options that has a negative in front of it. The fact that it has moved UP from the origin, but not side to side, means that the k value is a +1.

If you are familiar with an absolute value parent graph, the lines go through each diagonal of the grid perfectly. It appears that our graph is steeper (or slimmer) than that. That means that not only is our graph upside down, it also has an a value greater than 1. Putting those 2 facts to use along with our k value of +1, makes our obvious choice the first one listed.

Answer:

Step-by-step explanation:

4) In ΔABD & ΔBAC

AD = BC {given}

∠DAB = ∠CBA {given}

AB = AB {Common to both triangles}

ΔABD ≅ ΔBAC { Side Angle Side - SAS congruent}

b) BD = AC { Corresponding Part of congruent trianlge}

5) (i)In ΔDMB & ΔAMC

M is midpoint of AB

MA = MB

∠DMB =∠AMC {Vertically opposite angles}

CM = DM {Given}

ΔDMB ≅ ΔAMC ( Side Angle Side - SAS congruent}

(ii) ∠DBM = ∠ACM {CPCT}

Alternate angles are equal. Therefore, BD // AC

BD // AC & BC transversal

Co interior angles are 180

∠DBC + ∠ACB = 180

∠DBC + 90 = 180

∠DBC = 180 - 90

∠DBC = 90 , ∠DBC is right angle.

(iii)In ΔDBC & ΔACB

BD = AC { CPCT form Proof (i)}

∠DBC = ∠ACB = 90 {from Proof (ii)}

BC = BC {common}

ΔDBC ≅ ΔACB { SAS Congruent}

(iv) CD = AB

C is midpoint of CD

CD = 2CM

2CM = AB

CM =(1/2)AB

Answer:

A, B, C

Step-by-step explanation:

A = -8

B = |-6| = 6

C = |11| = 11

Least to greatest, negatives are the least and between 6 and 11, 11 is the greatest.

Answer:

B,C,A

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

''A perpendicular bisector makes 90° with the other line segment and divides the segment into two equal parts."

From the given picture,

If [tex]\overleftrightarrow{DE}[/tex] is a perpendicular bisector of [tex]\overline{AC}[/tex] following properties must be followed.

1). m(∠DBC) = m(∠DBA) = 90°

2). AB ≅ BC

Therefore, additional information we will require is AB ≅ BC

Option (1) will be the answer.

The equation is equivalent to −10r−6 = 115 will be B. -10r = 115 + 6.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The equation is equivalent to −10r−6 = 115

Add 6 on both side;

−10r−6 = 115

−10r−6 + 6 = 115 + 6

-10r = 115 + 6

Hence, the equation is equivalent to −10r−6 = 115 will be B. -10r = 115 + 6.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Answer:

1/25

Step-by-step explanation:

f(x) = 5^x

f(-2) = 5^-2

We know that a^-b = 1/a^b

= 1/5^2

= 1/25

Answer:

y = -5x

Step-by-step explanation:

Answer:

500 mg

Step-by-step explanation:

amount of dextrose in 35 ounce Pedialyte = 2500 mg

dividing LHS and RHS by 35

amount of dextrose in 35/35 ounce Pedialyte = 2500 /35 mg = 500/7 mg

Thus,

amount of dextrose in 1 ounce Pedialyte = 500 /7 mg

since we have to find amount of dextrose in 7 ounce Pedialyte

we multiply LHS and RHS by 7

Thus,

amount of dextrose in 1 *7 ounce Pedialyte = 500 /7 * 7 mg = 500 mg

amount of dextrose in 7 ounce Pedialyte = 500 mg

Thus, As child consumed 7 ounces of Pedialyte, He consumed 500 mg of dextrose.

Answer:

B

Step-by-step explanation:

Let's solve 12x + 7 < -11.

12x < -18

x < -3/2

Solving 5x − 8 ≥ 40 we get:

5x ≥ 48

x ≥ 48 / 5

Since it says AND, the answer is no solution.

Answer:

1. 60z, 36

2. 96a, 88

Step-by-step explanation:

1.

First, find the like terms for z. (60z)

Second, find the like terms for 20, 4, and 12. (36)

2.

Combine the 88a and 8a (96a)

Then combine 8 plus 80 (88)

Answer:

(50z+20)(10z+4)

=50z(10z+4)+20(10z+4)

=500z²+200z+200z+80

=500z²+400z+80

(88a+80)(8a+8)

=88a(8a+8)+80(8a+8)

=704a²+704a+640a+640

=704a²+1344a+640

Step-by-step explanation:

i hope this will help you:)

Answer:

Statement 1: True

Statement 2: True

Statement 3: False

Statement 4: False

Step-by-step explanation:

First of all, Statement 1 is that the domain is [0, 10]. Domain is how far the graph goes from left to right. So from 0, it goes to 10.

Second, the range is determined by how far the graph goes from down to up. This is determined by each points on the line, (3, 7, 9, 12)

Third, Statement 3 is false because it ends at (10, 12)

Fourth, a function cannot be curved, If the vertical line you drew intersects the graph more than once for any value of x then the graph is not a function. From point (0, 3) to (4, 7) is curved and not straight.

Answer:

4/11

Step-by-step explanation:

There are 4 midfielders on the team out of 11.

Answer:

4/11 midfielders!

Step-by-step explanation:

There are 11 total players and four of them are said to be midfielders. Out that into a fraction and you get 4/11 middies

Answer:

Step-by-step explanation:

Locate the 1 on the x axis. This is one hour worked. Go up vertically along x = 1 and you "land" on the red line very quickly. If you go straight across to the left, you are at 14 on the y-axis. The y-axis indicates the amount of money Leo earns tutoring. If he works one hour and earns $14 and this is a straight line (linear function with a constant slope), that means that for every hour he works he will earn $14. Locate the 2 on the x-axis and go up x = 2 til you hit the red line. Read it to the left and you "land" on the y-axis at $28. $28 divided by 2 hours of work is $14 per hour of tutoring. The first choice is the one you want.

Answer:

x = 70

Step-by-step explanation:

Angles on a line add up to 180 degrees.

180 - 120

= 60

Angles in a triangle add up to 180 degrees.

180 - 50 - 60

= 70

Answer:

24

Step-by-step explanation:

3 x 8

Answer:

O True

Step-by-step explanation:

If we substitute (x, y) = (0, 0) into both inequalities, we have ...

0 < 2·0 +4 ⇒ 0 < 4 . . . true

0 > -2·0 -2 ⇒ 0 > -2 . . . true

The point (0, 0) satisfies both inequalities, so is contained in the solution set.

Step-by-step explanation:

1) = 4ab

2) 12a2b

3) 8ab2

4) 6ab2

5) 12abc

6) 6ab2c

7) 16a2bc

8) 27abc

Answer: 4 hours and 35 minutes

Step-by-step explanation:

Answer:

26 mph

Step-by-step explanation:

First find the time Adrian takes to get to school

I found it easiesT to use the method of ratio and proportion

40:60

16:x

x= 16 x 60 / 40 = 24 minutes

So, he has 60-24 minutes to return home, that is 36

What is his speed if his time is 36 minutes= 0.6 hours

Speed = Distance divided by time = 16/0.6 = 26.6 miles per hour.

Hope this helps

Good Luck

Answer:

[tex]9^8[/tex]

Step-by-step explanation:

[tex]9^8=43046721[/tex]

[tex]ln(9^x)=xln(9)[/tex]

so we search [tex]x=ln(43046721)/ln(9)[/tex]

hope this helps

Answer:

9^8=43046721

Step-by-step explanation:

The exponent 9 of a number is found by multiplying that number by itself 9 times.

Answer:

12.5%

Step-by-step explanation:

8 / 64*100 =

(8 * 100) / 64 =

800 / 64 = 12.5

Hope this helped buddy! :D

Answer:

total memory = 8 GB + 64 GB

= 72 GB

extra memory = 64 GB

so percentage increase of memory

= ( 64 GB / 72 GB ) × 100

= 88.89 %

Answer:

[tex]20h {}^{2} - 37h + 15[/tex]

[tex]20h {}^{2} - 12h - 25h + 15 \\ = b \: is \: de \: answer[/tex]

Answer:

D. 96 in²

Step-by-step explanation:

Each triangle is congruent to the others, so each has a side length of 8 and a hypotenuse of 10. The unknown side can be found from the Pythagorean theorem to be ...

width = √(10² -8²) = √36 = 6

Then the area of the rectangle is ...

area = length × width = (2·8 in)(6 in) = 96 in²

The area of the rectangle is 96 square inches.