Find the measure of the missing angles.

[tex]5(4x - 4) = 5(3x + 3) \\ \cancel5(4x - 4) = \cancel5(3x + 3) \\ (4x - 4) = (3x + 3) \\ 4x - 3x = 4 + 3 \\ x = 7[/tex]

Put the value of X in equation:-

LHS:-

[tex]5(4x - 4) = 5(4(7) - 4) \\ 5(28 - 4) \\ 5(24) = 120[/tex]

RHS:-

[tex]5(3x + 3) = 5(3(7) + 3) \\ 5(21 + 3) \\ 5(24) = 120[/tex]

LHS= RHS

Hence proved

Answer:

x = 7

Step-by-step explanation:

Divide by 5 on each side :

Add 4 on each side :

Subtract 3x from each side :

Answer:

It's AAS congruent theorem.

Answer:

[tex]\huge\boxed{\sf AAS\ postulate}[/tex]

Step-by-step explanation:

The two triangles have:

So, 2 angles and 1 side congruency makes it AAS postulate (Angle-Angle-Side).

[tex]\rule[225]{225}{2}[/tex]

Explanation:

The term "right angle" is another way of saying "90 degree angle".

Such angles are marked as squares. Usually there are tiny square symbols inside the angle to be very clear that we have 90 degree angles. Some diagrams may not do this, and simply imply that anything that looks like a square 90 degree angle actually is one.

With this in mind, the angles that fit the description are angles J and M at the bottom of the figure. Therefore, there are 2 right angles in this shape.

Side note: This figure is a trapezoid because it has exactly one set of parallel sides KJ and LM.

Answer:

The rule is increase by 5. That means the next term would be 26.

Answer:

3

Step-by-step explanation:

1/4 of 12 means (1/4) x 12

=> (1/4)x12

=> 12/4

=>  3

Answer: Heyaa! ~

Your Answer would be 3!

Step-by-step explanation:

We can write 1/4 of 12 as 1/4 × 12

To multiply fractions, follow the given steps:

Multiply the numerators.

Multiply the denominators.

Reduce the resultant fraction to its lowest terms.

Now,

1/4 × 12 = (1 × 12) / 4 = 12/4 = 3

Meaning the answer is.. 1/4 of 12 = 3

Hopefully this helps you!

Answer:

2n + 3n equals to 5n in the end, so just set n equal to literally any number :)

Step-by-step explanation:

Example:

Let n = 1000

2(1000) + 3(1000) = 5(1000)

5000 = 500

Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides

Answer:

2n + 3n equals to 5n in the end, so just set n equal to literally any number

Step-by-step explanation:

Example:

Let n = 1000

2(1000) + 3(1000) = 5(1000)

5000 = 500

Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides

Answer:

(0, -√2)

Step-by-step explanation:

Given :

Finding vertex :

Calculating wattage is a quick process once you know the appliance's amperage and voltage — you simply multiply the two figures. An appliance that uses 110 volts of electricity and 5 amps uses 550 watts.

Hope this helps!

Answer:

D. 96

Step-by-step explanation:

Using the Multiplication Principle, we multiply the number of choices for each item together:

[tex]8 \cdot 4 \cdot 3 = 96[/tex]

The property applied to the expression is (b) inverse property of multiplication

The expression is given as:

[tex]\frac{17}{3} * \frac{3}{17} = 1[/tex]

The numbers 17/3 and 3/17 are multiplicative inverses.

This means that the property applied to the expression is (b) inverse property of multiplication

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Answer:

Inverse Multiplication

Step-by-step explanation:

If you want the work to be shown, look up, otherwise my answer was B on Edge 2022

Answer:

X Intercepts: (2, 0), (-6, 0),

Y Intercepts: (0, – 12)

minimum: (-2,-16)

Step-by-step explanation:

A) what are the x intercepts

X- axis interception points of x²+ 4x– 12:

(2,0), (-6,0)

B)what is the y intercepts

Y-axis interception point of x² + 4X – 12:

(0, – 12)

X Intercepts: (2, 0), (-6, 0), Y Intercepts: (0, – 12)

C)what is the maximum and minimum value

Parabola equation in polynomial form

The parabola params are:

a=1, b=4,c= -12

xv= -b/2a

xv= -4/2.1

simplify

xv=-2

Plug in xv = -2 to find the yv value

yv= -16

Therefore the parabola vertex is (-2, – 16)

If a<0. then the vertex is a maximum value

If a>0. then the vertex is a minimum value

a=1

minimum=(-2,-16)

Answer:

A Tens place.

Step-by-step explanation:

last 2 digits are twenty six.

Answer:

252m^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).

we just plug in the values.

2(12 x 6) + 2(12 x 3) + 2(6 x 3)

= 2(72) + 2(36) + 2(18) then simplify

= 144 + 72 + 36

= 252

Answer:

a) 19.63 mm (2 dp)

b) 245.44 mm²  (2 dp)

Step-by-step explanation:

Formula

[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]

[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]

Calculation

Given:

[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (25)\left(\dfrac{45^{\circ}}{360^{\circ}}\right)\\ & = 50 \pi \left(\dfrac{1}{8}\right)\\ & = \dfrac{25}{4} \pi \\ & = 19.63\: \sf mm \:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{45^{\circ}}{360^{\circ}}\right) \pi (25)^2\\& = \left(\dfrac{1}{8}\right)\pi \cdot 625\\& = \dfrac{625}{8} \pi\\& = 245.44\: \sf mm^2 \:(2\:dp)\end{aligned}[/tex]

Please note:  As you have not specified if π should be approximated, I have not used an approximation for π.

Answer:

To the nearest 100 miles, Jessica drove about 300 miles since we haven't reached 350 miles.  If we have a number that is greater than 350 miles than we would've rounded it up to 400 but since ours is less than that we round down to the nearest hundred which is 300 miles.

Answer:

y= -x to the power of 2

so the answer is the first one!

Hope this helps!!

Answer:

scale factor = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

the scale factor is the ratio of corresponding sides , Q to P , then

scale factor = [tex]\frac{3}{4}[/tex]

Answer:

4289.4

Step-by-step explanation:

El valor que falta es 4289.4, 4289.4 ÷ 9 = 476.6

Answer:

(-2.5,-2.5)

Step-by-step explanation:

(-4+-1)÷2=-2.5

(-3+-2)÷2=-2.5

Answer:

(-7, -4)

Step-by-step explanation:

Equating A and B to the Midpoint (M) :

Equations formed :

    2. -2 + y / 2 = -3

Coordinates of B :

Answer:

Step-by-step explanation:

You could do it either way, but I have attached an image with one way to do it.

Then, using the exterior angle theorem, you can do:

(180-4x) + 100 = 3x

280 - 4x = 3x

280 = 7x

x = 40

From there, don't forget to plug in the numbers if you need to do so :)

The function that would best model the progression of points in the given scatter plot is: D. an exponential function.

If a function is an exponential function, as the x-value increases, the value of y approaches infinity, or as x-value decreases, the value of y approaches 0.

The graph given is a typical example of how an exponential function graph behaves.

Therefore, the best model for the progression of points is: D. an exponential function.

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The distance between Reeta and the school when the cyclists arrive the home for this case is found to be 2 km

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example, if it is asked to increase some items by 4, then you can add 4 in that item to increase it by 4. If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.

How to find the speed of an object?

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it travelled to the time it took to travel that distance.

If the object travelled D distance in T units of time, then that object's speed is

[tex]Speed = \dfrac{D}{T}[/tex]

Given that:

Suppose at time 0 hours, all three people departed from school (on that Monday).

After 't' hours, suppose the cycle gets punctured.

Then, as the cycle was going by 20 km/hour speed, so in 't' hours, it must have covered d kilometres (suppose),

then we get:

[tex]S =\dfrac{D}{T}[/tex]

[tex]20=\dfrac{d}{t}[/tex]

d = 20t

This distance is measured from school. But we know that this distance is 4 km, so we get:

20t = 4

t  =  1 / 4

The remaining 1 km (as the home is 5 km away from school and 4 km is already travelled) is walked by Cyclists. And walking speed is 5 km/hour, so let they take T hours to travel that 1 km walking, then we get:

5 =  1 / T

t = 0.2 hours

So, the total time cyclists took to reach home from school is: 0.2+0.2=0.4 hours

Reeta is walking that whole 5 km.

The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.

Thus, we have:

Time is taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:

D = S x T

D = 5 x 0.4 = 2 km

So Reeta was 2 km away from school when cyclists reached home on that Monday.

Thus, the distance between Reeta and the school when the cyclists arrive at the home for this case is found to be 2 km

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Answer:

6.6

Step-by-step explanation:

41.4-15 = 26.4

26.4 divided by 4 equals 6.6

Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.

To find the average number of miles Idil would have to ride each day to meet her goal, we can use the following formula:

Average miles per day = (Total miles - Miles already ridden) / Number of days remaining

Given information:

Total miles she wants to ride = 41.4 miles

Miles already ridden = 15 miles

Number of days remaining = 4 days

Now, let's calculate the average miles per day:

Average miles per day = (41.4 - 15) / 4

Average miles per day = 26.4 / 4

Average miles per day = 6.6

So, Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.

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Answer:

A. a = -3 and b = 7.

B. x = -4 or x = 7.

Step-by-step explanation:

A)

f(0) = 0^2 + a(0) + b =  7

So b = 7.

f(-2) = (-2)^2- 2a + 7 = 17

4 - 2a = 17 - 7

4 - 2a = 10

-2a = 10 - 4 = 6

-2a = 6/-2

a = -3.

B)

Substituting a = -3 and b = 7 we get:-

x^2 - 3x + 7 = 35

x^2 - 3x - 28 = 0

(x - 7)(x + 4) = 0

x - 7 = 0 or x + 4 = 0

x = -4 or x = 7.

Answer:

i thing it is 2，if i wrong so sorry

Answer: its 50

Step-by-step explanation:

Answer:

$10.50

Step-by-step explanation:

2/3 of $21 = $14

1/4 of $14 = $3.50

$14 - $3.5 = $10.50

Nickel - 5 cents

Dime - 10 cents

Quarter - 25 cents

Judy put in: 50 + 25 = 75 cents

The machine gave back: 10 + 10 + 5 = 25

Subtract the two numbers to find the difference (what the fruit juice cost): 75 - 25 = 50 cents

Answer:

Nickel - 5 cents

Dime - 10 cents

Quarter - 25 cents

Judy put in: 50 + 25 = 75 cents

The machine gave back: 10 + 10 + 5 = 25

Subtract the two numbers to find the difference (what the fruit juice cost): 75 - 25 = 50 cents

Step-by-step explanation: