The figure shows a rectangle ABCD where the diagonals AC and BD intersect at E.
Given that BEC = 52°, find

(I) ADB
(ii) ACD​

The Figure Shows A Rectangle ABCD Where The Diagonals AC And BD Intersect At E.Given That BEC = 52, Find(I)

Answers

Answer 1

Answer:

(i) 64°

(ii) 26°

Step-by-step explanation:

Answer 2

Answer:

(i) m<ADB = 64°

(ii) m<ACD = 26°

Step-by-step explanation:

I use this to mean the measure of angle ADC: m<ADC

(i)

m<BEC = 52°

<DEA and <BEC are vertical angles, so they are congruent.

m<DEA = m<BEC = 52°

Polygon ABCD is a rectangle. When the diagonals, AC and BD, of a rectangle are drawn, 4 triangles are formed. Each two opposite triangles are congruent, and all 4 triangles are isosceles.

Triangle ADE is an isosceles triangle with congruent sides ED and EA. That makes opposite angles ADB and DAC congruent. Also the sum of the measures of the angles of a triangle is 180°.

m<ADB + m<DAC + m<DEA = 180°

m<ADB = m<DAC; m<DEA = 52°

2m<ADB + 52° = 180°

2m<ADB = 128°

m<ADB = 64°

(ii)

Angles DEC and BEC form a linear pair. That means the angles are supplementary, and the sum of their measures is 180°.

m<DEC + m<BEC = 180°

m<DEC + 52° = 180°

m<DEC = 128°

Triangle DEC is an isosceles triangle with congruent sides ED and EC. That makes opposite angles ACD and BDC congruent.

m<ACD + m<BDC + m<DEC = 180°

2m<ACD + 128° = 180°

2m<ACD = 52°

m<ACD = 26°


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   Angle at x is 75°

Step-by-step explanation:

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  Angle at A = 65°

  Angle at B = 40°

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Mark brainliest if you understand

Find the value of x.(all lengths are in cm).

Answers

Answer:

Step-by-step explanation:

This is a basic right angle problem relating to Pythagoras theorem as one approach.

we know.

[tex]a^2+b^2=y^2[/tex]

(letting the hypotenuse of the left triangle as y)

then,

[tex]7^2+8^2=y^2\\y=\sqrt{113}[/tex](neglecting negative root)

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In a survey, 15 high school students said they could drive
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surveyed, 30 said they
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if someone is in college, that means the person is more
likely to drive. Is Micah's conclusion correct? Explain.

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Answer:

Micah is incorrect, 50% of hs students could drive and 50% of college students could drive.

Step-by-step explanation:

HELP PLEASE THERES A PIC I PUT IN​

Answers

Answer:

(3, 10)

Step-by-step explanation:

f(3) means substitute the value of x = 3 into f(x)

[tex]\implies f(3) = (3 \times 3) + 1 = 10[/tex]

Therefore, when x = 3, y = 10

So the ordered pair is (3, 10)

f^{-1}(x) is of no use here

[tex]\\ \tt\longmapsto f(x)=3x+1[/tex]

[tex]\\ \tt\longmapsto f(3)=3(3)+1=9+1=10[/tex]

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Pls help find The value of x of the polygon

Answers

Answer:

97°

Step-by-step explanation:

First, find the sum of the interior angles by using the following formula.

[tex]S = (n-2)180[/tex]

S is the sum and n is the number of sides

S = (5 - 2)180

S = (3)180

S = 540°

Next create an equation by adding all the interior angles together and setting the sum equal to the sum of the interior angles and solve for x, the missing angle.

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443 + x = 540

443 - 443 + x = 540 - 443

x = 97°

please help me ASAP!!!!

Answers

here I found it online

.......ya

hope this helpa

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Answers

Answer:

10.35

Step-by-step explanation:

The total billing amount is $31.05. The share of each person on the total billing amount is $10.35. Option C is the correct answer.

Further explanation of share of each person.

Given that the billing amount is $27.00. The additional tip is 15% of the billing amount. The final bill will be split into 3 persons.

The amount of tip is calculated as given below.

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[tex]Tip = \$4.05[/tex]

Now the total billing amount is the sum of the final bill and the amount of tip.

Total Bill = $27.00 + $4.05

Total Bill = $31.05

The share of each person on the total amount is given as,

Share = [tex]\dfrac {\$31.05}{3}[/tex]

Share = $10.35

Hence we can conclude that the share of each person on the total billing amount is $10.35. Option C is the correct answer.

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Elena's aunt bought her a $150 savings bond when she was born. When Elena is 20 years old, the bond will have earned 105% in interest. How much will the bond be worth when Elena is 20 years old?

Answers

Answer: $307.5
Step-by-step explanation:
Here, Elena's aunt bought her a $150 savings
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(Hope this helped!!)

The worth of the bond is $307.50.

What is the worth of the bond?

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Answer:

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Answers

Answer:

22.5

Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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It’s probably 4 or 25 I’m not sure I’m trying to ask another answer

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Answers

Answer:

2×r=2r

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Answer:

9(2r)

Step-by-step explanation:

2×r =2r

9×2r can be written as 9(2r)

We could write this as 18r but it is best to leave it at 9(2r)

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Explanation:

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Answer:

Y must be greater than X

X must be less than Y

Solve for x. Round to the nearest tenth, if necessary.

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Answer:

x≈3.75

Step-by-step explanation:

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Answers

Answer:

[tex]\frac{43}{2}[/tex] or 21.5

Step-by-step explanation:

8(x - 16) = 44

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8(x - 16) = 44

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Answers

Answer:

Find the GCF of all the terms in the polynomial.Express each term as a product of the GCF and another factor.Use the distributive property to factor out the GCF.

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Answer:

Below.

Step-by-step explanation:

Complete the multiplication and the equation becomes

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The two fractions now have like denominators so you can subtract the numerators.

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4−3/6=1/6

This fraction cannot be reduced.

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2/3−1/2=16

Solution by Formulas

Apply the fractions formula for subtraction, to

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Answers

Answer:

D, 24

Step-by-step explanation:

5 10/11 is about 6 and 3 6/17 is about 4.

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Answer:

  D.  24

Step-by-step explanation:

5 10/11 ≈ 6

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Answers

9x = 36
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Answers

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

How to calculate volume of a rectangular prism?

If a rectangular prism has dimensions a unit, b unit, and c units, then its volume is given as

[tex]V = a \times b \times c \: \rm unit^3[/tex]

What are similar figures?

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and  c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

[tex]60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12[/tex]

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

[tex]15 \times 3 \times b \times 3 \times c = 135 \times b\times c = 135 \times 12 = 1620 \: \rm cm^3[/tex]

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

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I can confirm that the answer is 1620 because I just finished my test

Step-by-step explanation:

find two plot points

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Answer:

x = 0 and y = 3, x = 3 and y = 0

Step-by-step explanation:

Just make one of the numbers 0 and the other one 3.

Find the product. -2x(x2 - 3) -2 x3 - 6 x -2 x2 6 x 6 x3 -2 x3 6 x.

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Product of two polynomials can be done by distribution of multiplication over addition. The product of  [tex]-2x(x^2 - 3)[/tex] is [tex]-2x^3 + 6x[/tex]

What is distributive property of multiplication over addition?

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

[tex]-2x(x^2 - 3) = -2x^{1 + 2} + 6x = -2x^3 + 6x[/tex]

It is because when bases are same and there is multiplication, then powers add up, so we have: [tex]a^b \times a^c = a^{b+c}[/tex]

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The product of  [tex]-2x(x^2 - 3)[/tex] is [tex]-2x^3 + 6x[/tex]

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I bought a car for $25.000,
but its value is
depreciating at a rate of
10% per year. How much
will my car be worth after
8 years?

Answers

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Plot and connect the points A (4, 2), B (-3, 2), C(-3, 5), D (4, 5), and find the length of AB.

Someone please help me:( i need the length of AB and theres no plot diagrammmm

Answers

Answer:

AB = 7

Step-by-step explanation:

The y-coordinate of point A and B is the same.

Therefore, both points lie on the same horizontal line (y = 2).

So determine the distance between them, subtract the x-coordinate of B from the x-coordinate of A:

AB = 4 - -3 = 4 + 3 = 7

However, to calculate the distance between 2 points, regardless if the points are on a horizontal (or vertical) line, you can always use the distance between 2 points formula that is derived from Pythagoras' Theorem, as follows:

let [tex](x_1,y_1)[/tex] = point A (4, 2)

let [tex](x_2,y_2)[/tex] = point B (-3, 2)

using the distance between two points equation:

[tex]AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\implies AB=\sqrt{(-3-4)^2+(2-2)^2}[/tex]

[tex]\implies AB=\sqrt{(-7)^2+(0)^2}[/tex]

[tex]\implies AB=\sqrt{49}[/tex]

[tex]\implies AB=7[/tex]

*Edited to add a plot diagram*

Convert the binary number 10110011 into a decimal number.​

Answers

179 is the decimal equivalent of the binary number 10110011.
179 = 1+2+16+32+128

179 is the answer
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