How many lines of symmetry does the figure below appear to have a heart?

Answers

Answer 1

Answer:

The heart one lines of symmetry.

What is Line of symmetry?

If an object can be divided into two identical halves, it is said to have symmetry in mathematics. The term "line of symmetry" refers to the line that splits an object into two identical halves.

For instance, the symmetry line of the flower in the above image is the line that runs through its Centre.

Given:

We have the shape of Heart.

The line of symmetry can be categorized based on the basis of its orientation.

Vertical Line of Symmetry is a vertical line is said to be vertical if it splits an object into two identical halves.

This indicates that an object is divided into its mirror halves along a vertical line that runs from top to bottom (or vice versa).

So, the figure of heart have oneline of vertical symmetry.

Learn more about Line of Symmetry here:

brainly.com/question/4032475

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Answer 2

Answer: 1 because the only even line on a figure of a heart is stright up and down

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Use an algebraic equation to find the measure of each angle that is represented in terms of x.

Answers

The measure of each angle is 117°

Explanation:

Given that the two angles are (11x-26)° and (7x+26)°

We need to determine the measure of each angle.

Measure of angles:

From the figure, it is obvious that the two angles are vertically opposite angles.

By definition, we know that, the vertically opposite angles are always equal.

To determine the measure of each angle, we shall first find the value of x.

Thus, we have,

$11x-26=7x+26$

$4x-26=26$

$4x=52$

$x=13$

Thus, the value of x is 13

Now, substituting $x=13$ in the angle (11x-26)°, we get,

$(11(13)-26)^(\circ)=(143-26)^(\circ)$

$=117^(\circ)$

The measure of the angle is 117°

Similarly, substituting $x=13$ in the angle (7x+26)°, we get,

$(7x+26)^(\circ)=(7(13)+26)^(\circ)$

$=117^(\circ)$

The measure of the angle is 117°

Hence, the measure of each angle is 117°

25% of a bag of oranges is spoilt. There are 20.4 kg of spoilt oranges. What is the weight of the bag?

Answers

Answer:

81.6

Step-by-step explanation:

The square represents a scale model that was created by using a factor of 4. 8 ft 8 ft [Not drawn to scale] Which is true of the measures of the sides of the original square? Each side of the original square is 7 the length of each side of the scale model. O Each side of the original square is 4 times the length of each side of the scale m O Each side of the original salvare is the same length as each side of the scale ma

Answers

Answer:

Step-by-step explanation:

A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one for sheep. If the river forms one side of the corrals and 390 yd of fencing is available, find the largest total area that can be enclosed.

Answers

Width = 55 yards

Length = 165 yards

Maximized area = 9075 sq yd

Step-by-step explanation:

Here, the total length of fencing available = 390 yd

Let L = length of the side parallel to river

W = width of other 3 sides.

So, total fencing L + 3 W = 390 yd

or, L = 390 - 3 W

Now, Area of the field = L x W

= (390 - 3 w) (W)

or, A = -3 W² + 330 W

The maximum value of above function is at W = $((-b)/(2a) ) = (-330)/(2* (-3)) = 55$

So, W = 55 yards

Now, L = (390 - 3 (55) ) = 165 yards

Now, maximized area = L x W

= 55 x 165 = 9075 sq yds

Normal line to the curve y=ln(2x+a) at x=1 is perpendicular to x-4y+2 = 4ln3. Find the value of a.

Answers

Hello,

The normal perpendicular to x-4y+2=4ln(3) or y=(x+2-4ln(3))/4
has as slope -4

So y'=(ln(2x+a))'=1/(2x+a) *2 if x=1 , y'=1/(2+a)
Thus
1/(2+a)=-4 ==>2+a=-1/4==>a=-1/4-2==>a=-9/4

A total of $8,000 is deposited in two simple interest accounts. In one account, the annual simple interest rate is 5%, and on the second account, the annual simple interest rate is 6%. How much should be invested in each account so that the total annual interest earned is $450?

Answers

you need to invest $3000 at the 5% interest rate and invest $5000 the 6% interest rate to get a total annual interest of $450

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