The sum of Manoela's age and 12 is 30.
Let x represent Manoela's age. Write an
equation to represent the sentence above

Answer:

Step-by-step explanation:

1) Parallelogram ABCD, E is the midpoint of [tex]\overline{DC}[/tex], F is the midpoint of [tex]\overline{AB}[/tex] (given)

2) [tex]DE=\frac{1}{2}DC, BF=\frac{1}{2}AB[/tex] (When a segment is bisected, each part is half the length of the whole segment)

3) [tex]\overline{DC} \cong \overline{AB}[/tex] (opposite sides of a parallelogram are congruent)

4) [tex]DC=AB[/tex] (congruent segments have equal measure)

5) [tex]DE=BF[/tex] (substitution)

6) [tex]\overline{DE} \cong \overline{BF}[/tex] (segments with equal measure are congruent)

7) [tex]\angle D \cong \angle B[/tex] (opposite angles of a parallelogram are congruent)

8) [tex]\overline{AD} \cong \overline{BC}[/tex] (opposite sides of a parallelogram are congruent)

9) [tex]\triangle ADE \cong \triangle CBF[/tex] (SAS)

10) [tex]\overline{AE} \cong \overline{CF}[/tex] (CPCTC)

Answer:

74

Step-by-step explanation:

13x5+9=74

Hi!

These can be set up as systems of equations.

Let b = the number of birds, and let d = the number of dogs.

b + d = 21

2b + 4d = 76 (this is because birds have 2 legs and dogs have 4 legs.)

You can solve this using either elimination or substitution.

Consider marking brainliest.

Answer:

11/6

Step-by-step explanation:

2x/3 = 1/2

Cross multiply, get 4x = 3, x = 3/4

3y/4 = 3/2

Cross multiply, get 6y = 12, y = 2

x + y = 3/4 + 2 = 11/4

xy = 3/4 * 2 = 3/2

(x + y)/(xy) = (11/4)/(3/2) = 11/4 * 2/3 = 22/12 = 11/6

Answer:

-2

Step-by-step explanation:

(8) fx=x2-2x-2

8(2)-2(8)-2

16-16-2

-2

Answer:

The answer is D.

Step-by-step explanation:

Key:

1 dime = $0.10

1 nickel = $0.05

Solve:

A. 70+10=80

B. 60+10=70

C. 50+15=65

D. 60+15=75, so D is correct.

Answer:

answer is 0.025

Step-by-step explanation:

answer is 0.025

Answer:

27 feet

Step-by-step explanation:

We know that 3 feet = 1 yard.  So, multiply 9 by 3 and you get 27 feet.  Hope this helps!

Answer:

pentagon + irregular polygon

Step-by-step explanation:

has 5 sides + a regular pentagon has all angles equal, this doesn't.

Answer:

WAT = 28

Step-by-step explanation:

6x - 14 = 2x + 14

4x = 28

x = 7

WAT : 2(7) + 14 =

14 + 14 = 28

WAT = 28

I think you meant WAT not MAT right!???

HOPE THIS HELP

Answer:

C

Step-by-step explanation:

The term range is used when looking for y.

This automatically eliminates the possibility of B and D.

Since y applies only to the vertical aspect of the graph, we can ignore all of the horizontal information (time minutes)

Looking at distance, the bug's lowest point was at 100cm and at its highest point at 400cm

This means the minimum is 100 and maximum is 400

In other words:

100 <= y <= 400

Answer:

C) 100 ≤ y ≤ 400

When we are talking about range, we are talking about y values, so B is disqualified.

When determining range you want the lowest & highest y values.

On this graph the lowest value of y is 100 (seen between 5 and 6 seconds).

The highest value of y is 400 (seen at 8 seconds).

Therefore, 100 ≤ y ≤ 400.

Answer:

216

Step-by-step explanation:

4+2=6

6^3=216

Hey there!

To find the number that's one-fourth of 360, we should just divide 360 by 4 and get 90.

There's also another way - multiplying fractions.

[tex]\bold{\displaystyle\frac{1}{4} *\frac{360}{1}}[/tex]

In order to multiply fractions, we just multiply the numerator of one fraction times the numerator of the other one; same with the denominator.

Look what happens when I multiply:

[tex]\bold{\displaystyle\frac{360}{4}}[/tex]

We can use mental maths to solve it.

Hence, the answer's 90.

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

:-)

[tex]\bold{Somebody~Who~Loves~Helping~Others:-)}[/tex]

Answer:

Use Desmos.com. It is a site that can graph basically anything you want.

Step-by-step explanation:

Answer:

The width of pen A is 7 feet,

The Length of Pen A is  11 feet,

The width of Pen B is 6 feet,

The Length of Pen B is 12 feet

Step-by-step explanation:

The width of pen A is 7 feet,

The Length of Pen A is 7 + 4 = 11 feet,

The width of Pen B is 7+4-5 = 6 feet,

The Length of Pen B is 2*(7+4-5) = 12 feet

[tex]w+w+w+w+4+4=(w+4-5)+(w+4-5) +2*(w+4-5)+2*(w+4-5)\\4w+8=6w-6\\14=2w\\w=7\\[/tex]

Answer:

x=-10

Step-by-step explanation:

I explained the answer to your question in the photo

Answer:

x=-1

Step-by-step explanation:

Answer:

x = 67; y = 121; z = 65

Step-by-step explanation:

x + 1 + 112 = 180

x + 113 = 180

x = 67

y - 9 = 112

y = 121

z + 3 + 112 = 180

z + 115 = 180

z = 65

Answer:

9m⁸

Step-by-step explanation:

3^2=9

(m⁴)² = m⁸

9*m⁸

Answer:

I agree with cristafers work

Step-by-step explanation:

The new coordinates of S' will be located at (1, 8)  after translating 4 units right and 2 units down.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

Given that Δ RTS has a vertices R (10,0) S (3,4) And T(4,2)

The original coordinate of S is (3,4).

To determine the image of S' after a vertical transition two units down and a horizontal transition of four units to the right

The y-coordinate will increase by 4 if we move it to the right.

This will then become 4+4 =8.

If we shift it downward, it will become negative and read as -2.

This will then become 3-2 = 1.

So, the coordinate of S' will be located at (1, 8)

Hence, the new coordinates of S' will be located at (1, 8)  after translating 4 units right and 2 units down.

Learn more about the graph here:

brainly.com/question/16608196

#SPJ5

Using the normal approximation to the binomial, the probabilities are given by:

a) 0.8485 = 84.85%.

b) 0.0244 = 2.44%.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, we have that:

The mean and the standard deviation of the approximation are given, respectively, by:

[tex]\mu = np = 600(0.05) = 30[/tex]

[tex]\sigma = \sqrt{np(1-p)} = \sqrt{600(0.05)(0.95)} = 5.3385[/tex]

Item a:

Using continuity correction, the probability is P(X > 24.5), which is one subtracted by the p-value of Z when X = 24.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24.5 - 30}{5.3385}[/tex]

[tex]Z = -1.03[/tex]

[tex]Z = -1.03[/tex] has a p-value of 0.1515.

1 - 0.1515 = 0.8485.

0.8485 = 84.85% probability.

Item b:

This probability is P(X < 19.5), which is the p-value of Z when X = 19.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{19.5 - 30}{5.3385}[/tex]

[tex]Z = -1.97[/tex]

[tex]Z = -1.97[/tex] has a p-value of 0.0244.

The probability is of 0.0244 = 2.44%.

More can be learned about the normal distribution at https://brainly.com/question/24663213

m    dm    cm    mm

                0        8

8 mm = 0,8 cm

Step-by-step explanation:

48 cm

Answer:

10.125

Step-by-step explanation:

Length= 4 1/2 feet

Width= 2 1/4

Area=Length x width

Area=4.5 x 2.25

=10.125

Let me know if this is not correct.

70

(

mi

hr

)

=

70

(

mi

hr

)

y

=

70

(

mi

hr

)

x

hr

=

70

(

mi

hr

)

Answer:

5

Step-by-step explanation:

The square root of 29.16 is approximately 5.4. Therefore, the square root of √ 3⁶/²⁵ is approximately 5.4.

The square root of a number is a value that, when multiplied by itself, gives the original number.

To find the square root of √ 3⁶/²⁵, we can break it down into simpler steps.

Step 1: Simplify the expression inside the square root. √ 3⁶/²⁵ can be simplified as follows: √(3⁶ / 5²)

Step 2: Simplify the numerator and the denominator separately.

The numerator is 3 raised to the power of 6, which means multiplying 3 by itself six times:

[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729

The denominator is 5 raised to the power of 2, which means multiplying 5 by itself two times: [tex]5^2[/tex] = 5 × 5 = 25

So, the expression becomes: √(729 / 25)

Step 3: Simplify the expression inside the square root.

√(729 / 25) = √(29.16)

Step 4: Find the square root.

The square root of 29.16 is approximately 5.4. Therefore, the square root of √ 3⁶/²⁵ is approximately 5.4.

To know more about square root here

https://brainly.com/question/428672

#SPJ2

Answer:

3

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

one shirt is for $25 so multiple that by 3 and get $75