Find the indicated part round your answer to the nearest degree

The required area of triangle Δ STU would be 4 square units.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.

The given triangle Δ STU, with vertices S(2,2), T(7,3), and U(5,6), is drawn inside a rectangle.

The area of triangle Δ STU =  rectangle ABCS - Δ ABS - Δ BTU - Δ STC

The area of triangle Δ STU = 4 × 5 - 1/2 × 3 × 4 - 1/2 × 5 × 1 - 1/2 × 3 × 2

The area of triangle Δ STU = 8/2

The area of triangle Δ STU = 4 square units

Hence, the required area of triangle Δ STU would be 4 square units.

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Answer:72

Step-by-step explanation:

Answer:

1.)|4x-2|=-6

This eguation has not solution.

Answer:

the first one; absolute value cannot be negative

Step-by-step explanation:

|4x-2| = -6

add 2

|4x| = -4

divide 4 on both sides

x = -1

|4x-2| = 6

repeat the same steps

x = 2

YOU DID NOTHING WRONG ACCORDING TO WHAT YOU WROTE

[tex]2d = f - e \\ \frac{2d}{2} = \frac{f}{2} - \frac{e}{2} \\ d = \frac{f}{2} - \frac{e}{2} [/tex]

RATHER MAYBE IT'S BECAUSE THEY WANT YOU TO WRITE IT IN THIS FORM.

TRY IT THIS WAY

Answer:

Step-by-step explanation:

k = x+8

c= x+5

j= x+5

3x+18=72

x = 18

Chris = 23

Kieran = 26

Jermaine = 23

Answer:

Chris = 17 goals

Kieran = 25 goals, and

Jermaine = 30 goals

Step-by-step explanation:

Let K, J, and C stand for the goals scored by Kieran, Jermaine, and Chris, respectively.

We learn that:

K = C + 8    [Kieran scored 8 more goals than Chris]

J = K + 5     [Jermaine scored 5 more goals than Kieran]

K + J + C = 72  [Altogether they have scored 72 goals]

-----

We have 3 equations and 3 unknowns.  Therefore, we should be able to find a solution by rearranging and substituting.  

Let's start with K + J + C = 72 and find ways to eliminate two of the three variables.

We can substitute for K since  K = C + 8

K + J + C = 72

(C+8) + J + C = 72

Rearrange:

2C+8 + J  = 72

We can also substitute for J since J = K + 5

2C+8 + J  = 72

2C+8 + (K + 5)  = 72

Again, we can substitute for K since (K = C + 8)

2C+8 + (C+8) + 5  = 72

2C+8 + (C+8) + 5  = 72

3C +21  = 72

3C = 51

C = 17

---

Since C = 17, we can find K with K = C + 8

K = C + 8

K = 17 + 8

K = 25

---

Since K = 25, we can find J with J = K + 5

J = K + 5

J = 25 + 5

J = 30

===

We find:

C (Chris) = 17 goals

K (Kieran) = 25 goals, and

J (Jermaine) = 30 goals

17 + 25 + 30 = 62 total goals.

Answer

The height of the child in a year time = 124.8 cm

Explanation

The child is currently 120 cm tall.

The child grows 4% bigger in 1 year.

We now need to calculate how tall the child is in that 1 year.

New height for the child = (Current height) + (Increase in height)

Current height = 120 cm

Increase in height = 4% of 120 cm = 0.04 × 120 = 4.8 cm

New height for the child = (Current height) + (Increase in height)

= 120 + 4.8

= 124.8 cm

Hope this Helps!!!

Answer: (5x - 1)(x + 9)

Step-by-step explanation:

    Please note the method of factoring may differ per class, but this is how I was taught.

    First, we will multiply the coefficient of x² by the constant.

5 * -9 = -45

   Next, we will find two numbers that add up to 44 (coefficient of x) and multiply to -45 (the number we got above).

-1 * 45 = 45

-1 + 45 = 44

       -1 and 45 ✓

   Now, we can start to factor. First, we will rewrite 44x.

5x² + 45x - 1x - 9

   Then, we will factor by grouping.

5x(x + 9) -1(x + 9) ➜ (5x - 1)(x + 9)

      The completely factored form is:

                    (5x - 1)(x + 9)

Answer:

(4x + 3)(2x + 5)

4x(2x + 5) +3(2x + 5)

8x^2 +20x +6x + 15

8x^2 +26x + 15

so, g(h(x))=8x^2 +26x +15

again

(4x + 3)(2x +5).0

0

so, g(h(0))=0

The people who waited in line for the new roller coaster that day is 9215?

From the information, forty two percent of the people wanted to ride the new roller coaster and twenty-three percent of those people decided not to ride the coaster because the line was too long.

The percentage of those who waited will be:

= 42% - 23%

= 19%

Since there were 48,500 people at an amusement park on Monday, those who waited will be:

= Percentage × Total number

= 19% × 48,500

= 9215

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Answer:

x = -2

Step-by-step explanation:

If m(x) = 4x + 15 and m(x) = 7, the we can substitute and get the equation:

4x + 15 = 7

x = -2

Answer:

35 yards above sea level

Step-by-step explanation:

12 + 38 - 15

50 - 15

35

The probability that this person choosen only visited one of the two places is 9/20

What is Probability?

Probability is a measure of the possibility that an event to occur.

 The probability for an event to occur= Possible outcome /Total outcome

to get the possible out come we must Know the number of people that visited ET and NDC only.

using set theory;

if x is the no of people that visited both places then,

8-x =ET only

13-x= NDC only

5= none visited ET and NDC

x+13-x+8-x+5=20

collect like terms

26-x= 20

x =6

therefore ET only= 2

NDC only= 7

probability of ET = 2/20

probability of NDC= 7/20

therefore probability that the person chosen only visited one place = p(ET)+P(NDC)= 7/20+2/20

= 9/20

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Each bird would receive 1/9 cup of bird food.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

We have been given an area model with 12 shaded parts and 6 unshaded parts. The shaded part is labeled two-thirds. Adela divided Two-thirds of a cup of bird food equally among 6 birds.

The dividend would be

⇒ 2/3

The divisor would be

⇒ 6

The division expression would be

⇒ 2/3

Divided by 6

Rewrite the division expression to get

⇒ 2/3 × 1/6

⇒ 2 / 18

⇒ 1/9

Therefore, each bird would receive 1/9 cup of bird food.

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Blue = 5

Red = 8

Green= 3

Yellow= 7

Total candles = 5+8+3+7 = 23

Yellow and blue candles = 7+5 = 12

To find the probability divide the number of blue and yellow candles (12) by the total number of candles.

12/23 = 0.52

In general, if the sides of a triangle are a, b, and c, they must satisfy the inequalities below

Therefore, in our case,

Answer:

3x2-11x-4

Step-by-step explanation:

given the graph

the point f(0) (x=0) is given at y=-4

then

f(0)= - 4

the point f(x) = -3 (y=-3) is given when x = -1

then

the value of x for which f(x)=-3: -1

The slope of the line that is perpendicular 6y=−7x+4 is: 6/7.

If one line has a slope of a/b, the slope of the line that is perpendicular to the line would be the negative reciprocal of a/b, which is -b/a.

If the slopes of perpendicular lines are multiplied together, for example (a/b)(-b/a), we would always have a result of -1.

Rewrite the equation 6y = −7x + 4 in slope-intercept form as y = mx + b, in other to determine the value of m = slope.

6y/6 = −7x/6 + 4/6

y = −7/6x + 2/3

The slope of 6y = −7x + 4 is -7/6. 6/7 is the negative reciprocal of -7/6. Therefore, the slope of the perpendicular line is: 6/7.

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Answer: [tex]f(1)=1, f(2)=0, f(3)=2[/tex]

Step-by-step explanation:

[tex]0 \leq 0 \leq 1 \implies f(1)=1^2 =1\\\\1 < 1 \leq 2 \implies f(2)=-2+2=0\\\\2 < 3 \leq 3 \implies f(3)=3^2 -3(3)+2=2[/tex]

Answer:

x³ + 4x² + 3x + 1

Step-by-step explanation:

fg(x) + f(x)

= x³ + 4x² + 3x + 1

ΔXYZ  ≅  ΔUTV

The two angles of the non-included side of the triangle are congruent to the two sides and non-included sides of the second triangle, according to the AAS theorem.

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Answer: 3, 9, and 9

Step-by-step explanation:

X+3x+3x=217x=21x=33, 9, 9=21

Answer :- 60 cm^2

Step-by-Step Solution :-

Let ABCD be the Rectangle.

Given :

AD = 12 cm

BD = 13 cm

To Find : Area of ABCD

Solution :

In ∆ADB,

AD = 12 cm and BD = 13 cm

By Pythagoras Theorem,

(BD)^2 = (AD)^2 + (AB)^2

13^2 = 12^2 + (AB)^2

169 = 144 + (AB)^2

AB^2 = 169 - 144 = 25

AB = √25

Therefore, AB = 5 cm

Now, to find the Area,

Area of Rectangle = length × breadth

Area of ABCD = 12 × 5

Therefore, Area of ABCD = 60 cm^2

Yes, the number of scoops proportional.

Define Proportional

A linear relationship between two amounts or variables is indicated by proportionality. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.

Hence, It is proportional. This is because as the number of people increases, the number of scoops also increase.

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After combining the like terms of the given expression -4r -2r + 5 the equivalent expression is -6r +5.

As given in the question,

Given expression is equal to :

-4r -2r + 5

Now combine the like terms to get the equivalent expression we have,

Like terms of the given expression -4r -2r + 5 are -4r and -2r

( -4r -2r) +5

= -r (4+2) +5

= -6r +5

Equivalent expression of the given expression -4r -2r + 5  is -6r +5.

Therefore, after combining the like terms of the given expression -4r -2r + 5 the equivalent expression is -6r +5.

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Answer:

Step-by-step explanation:

13.

m1 is 120 because angle 120 and angle 1 are tranversal angle

So now we know that angles m1 and m2 are vertically opposite angle

Then m2 = 120

m1 = 120

m2 = 120

14.

angle 1 and 105 have the sum of 180 because they are Interior angles on the same side of the transversal

So angle 1 equals 180-105=75

angle 2 and angle 1 are on a line so the sum of the 2 angles are 180

So: 180 - 75 = 105

m1 = 105

m2 = 75

The equivalent expressions when y = 2 and y = 5 are the expressions that have the same numeric value when y = 2 and when y = 5.

Equivalent expressions are expressions that have the same numeric value.

Hence, the equivalent expressions when y = 2 and y = 5 have the same value when y = 2 and y = 5.

This numeric value is calculated replacing each instance of y by 2 when y = 2 and each instance of y by 5 when y = 5.

For example:

Different numeric values, hence not equivalent, just an example as to how you should proceed.

You will do this for all expressions, and when you find equal values for y = 2 and for y = 5, then they will be equivalent.

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Answer: I don't know why I'm here

Step-by-step explanation: help