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3 years ago

10

Luis deposited $300 into his bank account. He now has $4,511. Enter and solve an equation to find how much was in his account be

fore the deposit. Let a represent the variable.

1 answer:

kupik [55]3 years ago

8 0

4,511 - 300 = 4,211 $ was originally in his bank account

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Please help.. Answer number 34 and 35. For number 34 find the measures of the numbered angles in each isosceles trapezoid. For n

Alexxx [7]

Answer:

33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°

34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°

35. m∠1 = 90°, m∠2 = 25°

Step-by-step explanation:

33. The given parameters of the isosceles trapezoid are;

The measure of one of the base angles = 45°

For an isosceles trapezoid, the base angles are equal, therefore, we have;

The measure of the other base angle = m∠3 = 45°

Similarly, m∠1 = m∠2

Also, we have;

The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°

∴ 45° + m∠3 + m∠1 + m∠2 = 360°

By substituting the known values, we have;

45° + 45° + m∠1 + m∠2 = 360°

From m∠1 = m∠2, we have;

45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°

2·m∠1 = 360° - 90° = 270°

∴ m∠1 = 270°/2 = 135°

m∠1 = 135° = m∠2

Therefore, we have;

∠3 = 45°, ∠1 = 135°, ∠2 = 135°

34. The measure of the base angles = 80°

∴ The measure of the other base angle = m∠1 = 80°

m∠2 = m∠3

80° + m∠1 + m∠2 + m∠3 = 360°

∴ 80° + 80° + 2·m∠2 = 360°

m∠2 = (360° - (80° + 80°))/2 = 100°

m∠2 = 100° = m∠3

35. The kite comprises of two half isosceles triangles

The base angles of the right half isosceles triangle = 65°

The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)

Therefore, m∠1 = 90°

The diagonals bisect the angles at the vertices (Kite theorem)

Therefore, we have;

65° + 90° + m∠2 = 180°

m∠2 = 180° - (65° + 90°) = 25°

m∠2 = 25°.

5 0

3 years ago

PICTURES INCLUDED HELP NEEDED<br> ASAP

hammer [34]

The perpendicular distance from Frank to the height of statue of Liberty is 306-5.5 = 300.5 ft .

And frank stand 400 feet away from the base of the statue , so base=400 feet

Since tangent function establish relationship between height and base, so we use tanhere.

$tan \ x = \frac{300.5}{400} => x = 36.9 degree$

So the correct option is the first option .

5 0

3 years ago

What is the value of y?

maxonik [38]

Answer:- The value of y=6√3 units.

Explanation:-

Given: Δ TNM is a right triangle, where TN=y , NU=9 units ,UM=3 units, TM=6 units.

Now, we can see that NM=NU+UM

⇒NM=9 units + 3 units=12 units

As Δ TNM is a right triangle , then by Pythagoras theorem

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\Rightarrow12^2=y^2+6^2\\\Rightarrow\ y^2=12^2-6^2\\\Rightarrow\ y^2=144-36=108\\\Rightarrow\ y=\sqrt{108}=6 \sqrt{3}$

Thus y=6√3units.

Pythagoras theorem states that in a right triangle the square of the longest side is equal to the sum of the squares of the other two sides.

3 0

3 years ago

Read 2 more answers

Solve for x: 2 over quantity x plus 2 plus 1 over 5 equals 6 over quantity x plus 5. x = 0 x = −13 x = 13 x = 0 and x = 13

grandymaker [24]

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

$\frac{2}{x+2}+\frac{1}{5}=\frac{6}{x+5}$

2. You need to sum the fractions located on the left member, as following:

$\frac{10+(x+2)}{5(x+2)}=\frac{6}{x+5}$

$x=(12+x)(x+5)=6(5x+10)$

3. Simplify it and you will obtain a quadratic equation. Solve it by factor out $x$ :

$x^{2} -13x=0\\ x(x-13)=0\\ x=0; x=13$

Therefore, the answer is: $x=0; x=13$

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4 years ago

The length of the red line segment is 6

Alexandra [31]

Answer:

What is the question or image?

Step-by-step explanation:

Need it to solve

8 0

3 years ago