Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

Lines Q, R, U, and T extend from point S from left to right. Angle R S T is a right angle.
Which statement is true about angles UST and QSR?

They are complementary.
They are supplementary.
They are congruent.
They are obtuse.

Answer:

7 units

Step-by-step explanation:

The short leg is opposite the 30 degree angle

sin 30 = opposite side/ hypotenuse

Hypotenuse * sin 30 = opposite side = 14 * 1/2 = 7 units

Answer:

  arc BC = 75 degrees

Step-by-step explanation:

The angle where chords cross is half the sum of the intercepted arcs. This relation can be used to find x and the angle and arc measures.

__

The angle relation is ...

  1/2((8x +11) +(9x -7)) = (8x +6)

  17x +4 = 16x +12 . . . . . . . multiply by 2 and simplify

  x = 8 . . . . . . . . . . . . . . subtract 16x+4 from both sides

Then the measure of arc BC is ...

  arc BC = 8x+11 = 8(8) +11 = 75 . . . degrees

_____

Additional comment

We can compute the other measures just to make sure they have the desired relationship.

  angle BAC = 8x+6 = 70 . . . degrees

  arc FD = 9x -7 = 65 . . . degrees

Since 70 = (65 +75)/2, these measures work out as expected.

The zeroes of the quadratic function f(x) = 6x² + 12x – 7 will be given below. Then the correct option is A.

The missing options are given below.

The quadratic equation is given as ax² + bx + c = 0.

Then the solution is given as

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}[/tex]

The quadratic function is given below.

f(x) = 6x² + 12x – 7

Then the zeroes of the quadratic function will be

[tex]\rm x = \dfrac{-12\pm \sqrt{12^2 - 4 * 6 * (-7)}}{2 * 6}\\\\\\\rm x = \dfrac{-12\pm \sqrt{312}}{12}\\\\\\\rm x = -1 \pm \sqrt{\dfrac{13}{6}}\\\\\\x = -1 - \sqrt{\dfrac{13}{6}} , -1 + \sqrt{\dfrac{13}{6}}[/tex]

Then the correct option is A.

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This shows that the greatest common factor is 8, Hence Venita's error is that she incorrectly determined the GCF.

Given the following expression

32ab - 8

Find the factors of each terms

32ab = 8 * 4. * a * b

8 = 8 * 1

Since 8 is common to both factors, hence

32ab - 8 = 8(4ab -1)

This shows that the greatest common factor is 8, Hence Venita's error is that she incorrectly determined the GCF.

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The experimental probability is 56% i.e., 28.

The probability is the measure of the likelihood of an event to happen.

Given:

Total marbles= 8 + 12 + 5= 25 marbles

Total trials= 12+28+10 = 50 trials

So,  the experimental probability is 56% for the green marble.

= 56% of 50

= 56 /100 *50

= 56/2

= 28

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Answer: Figure QRTS is congruent to figure Q'R'T'S'.

Step-by-step explanation:

A reflection is a rigid motion, and rigid motions preserve congruency.

Answer: 2

Step-by-step explanation:

[tex]a_{n}=2(2)^{n-1}\\\\a_{1}=2(2)^{1-1}=2\\\\a_{2}=2(2)^{2-1}=4[/tex]

Average rate of change:

[tex]\frac{4-2}{2-1}=\boxed{2}[/tex]

a) Corresponding angles of similar figures are congruent, so [tex]\angle B \cong \boxed{\angle Z}[/tex]

b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is [tex]\frac{25}{10}=\boxed{5/2}[/tex]

c) Since the scale factor is 5/2,

[tex]\frac{20}{t}=\frac{5}[2}\\\\40=5t\\ \\ t=\boxed{8}[/tex]

The weight of the chocolate frosting if it is 55% cocoa powder will be 272.25 grams.

The quantity of anything is stated as though it were a fraction of a hundred.

Mama bear wants to bake a cake with chocolate frosting for her twin's birthday party.

She uses a package containing 495 grams of cocoa powder for the frosting.

Then the weight of the chocolate frosting if it is 55% cocoa powder will be

⇒ 0.55 × 495

⇒ 272.25 grams

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Answer:

answer is 5

Step-by-step explanation:

I think so

if yes L I k e

Answer:

10 in base 3

Step-by-step explanation:

3 in base 10 =   10 in base 3

Answer:

€3.75

Step-by-step explanation:

1. Formulate:

5×(2.25 - 1.5)

2. Calculate:

5×(2.25-1.5)

5× 0.75

=3.75

Answer

3.7/ €3.7

Answer:

-2/7

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1-3)/( 3 - -4)

    = (1-3)/( 3+4)

    = -2/7

Answer:

Step-by-step explanation:

Find the area of a circle with a diameter of 10 ft.

Area of a Circle  

A = π × r²

r = diameter : 2

10 : 2 = 5 ft (radius)

A = π × 5²

A = 3.14 * 25

A = 78.5 ft²

Answer:

x = 25

Step-by-step explanation:

Solve by isolating x:
(x-7)2 = 36
x-7 = 18
x = 25

The probability that the results indicate an unsuccessful market for the product and the product is actually unsuccessful is P=0.77.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Events:

S: success

F: failure

MS: market research forecast a success

MF: market research forecast a failure

The information we have is:

P(S)=0.70

P(F)=0.30

P(S|MS)=0.90

P(F|MS)=0.20

If P(F|MS)=0.20, we can derive that P(F|MF)=0.80. That is, the failed products were predicted to be a failure based on market research 80 per cent of the time.

We also can conclude that P(S|MF)=0.10.

We can calculate the probability of having a forecast of a failure, given that the product is actually unsuccessful as:

[tex]P(MF|F) = \dfrac{P(F|MF)\times P(F)}{P(F|MF)\times P(F)+P(S|MF)\times P(S)}[/tex]

[tex]P(MF|F) =\frac{(0.8\times 0.3)}{0.8\times 0.3)+(0.1\times 0.7}[/tex]

[tex]P(MF|F) =\dfrac{0.24}{0.31}=0.77[/tex]

The probability that the results indicate an unsuccessful market for the product and the product is actually unsuccessful is P=0.77.

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The slope-intercept expression for the line is, y=2x-6

The slope-intercept formula is the one we require for this issue.

y = mx + b is the expression that provides the answer.

where 'm' is the equation's scale's slope and 'b' is the y-intercept, or the point on the y-axis in which the line intersects, respectively.

Since, the x-intercept of the line 2x-3y=6 is (3, 0), we desire the following line's expression, which has a slope of 2, to pass over the position (3,0).

Use the formula y=mx +b, x=3, y=0 to get 'b'.

Hence,

0 = 2(3) + b

⇒ b= -6,

∴The expression for the line is y= 2x-6.

This line will cross at x=3 and 2x-3y=6.

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Answer:

Step-by-step explanation:

sum of any two sides > third side

difference of any two sides < third side.

8+10=18

10-8=2

2<third side <18

A linear equation that represents the model is: x + 6 = 10; x = 4

Let us first define the variables based on the attached image of the ball balance:

Let x = number of balls that contains the square.

On the left side, we have; square + 6 balls

On the right side, we have; 10 balls

To balance this, we have;

x + 6 = 10

x = 10-6

x = 4

Thus, a linear equation that represents the model is:

x + 6 = 10; x = 4

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Answer:

C , x>0

Step-by-step explanation:

anything times 0 is 0 and 3x has to be larger than 0

Answer:

A. -5

Explanation:

For (3x + 15)/(6 - x) to be equal to zero. Set the equation to 0.

Doing so:

(3x + 15)/(6 - x) = 0

3x + 15 = 0(6 - x)

3x + 15 = 0

3x = -15

 x = -15/3

 x = -5

Therefore, the value of x is -5 to equal to zero.

Answer: B

Step-by-step explanation:

Edge 2023

Step-by-step explanation:

AREA OF SQUARE:

A square is simply a rectangle with equal sides. As a result, the length and breadth of a square are equal. As a result, the area of a square is the product of two square sides, or in simpler terms, squares of the side.

Area = Side^{2}Area=Side

2

We use the following formula to compute the area of a rectangle after being given the length and width of the rectangle as input.

ALGORITHM:

Step 1 : Start

Step 2: Input Side

Step 3: Area = Side \times× Side

Step 4: Print area

Step 5: Stop

answer:

w = (-m+y)/y

Step-by-step explanation:

y-wy = m

-wy = m-y

y = -(m-y)/w

wy= -m + y

w = (-m+y)/y

.

Answer:

A. (2,10)

Step-by-step explanation:

5x + y = 20

y = 5x

The second equation is already solved for y, so substitute 5x for y in the first equation to find x.

5x + 5x = 20

10x = 20

x = 2

Now substitute 2 for x in the second original equation to find y.

y = 5(2)

y = 10

Answer: (2, 10) which is A.

Each decreasing portion of the graph indicates the ball has been thrown upward and is traveling toward the ground.  

A graph can be defined as a type of chart that is used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate i.e x-axis and y-axis.

By critically observing the graph attached in the image below, we can infer and logically deduce that each decreasing portion of the graph indicates the ball has been thrown upward and is traveling toward the ground.

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From indices : when you have a fraction like 3⁶/5

we can also write it as (5√3)^6

and we were given (c√a )^b

meaning that anywhere the letters are, we put them as the numbers there.

therefore: a = 3 , b = 6 , c = 5

Hope this helps and you understood it.

you're super free to ask any more questions eh.

Good luck ✅.

Answer:

30

Step-by-step explanation:

1500/50=30