Mathematics College

(Angles in
The figure shows a parallelogram ABCD where BÂD = 64°
Elies on AB such that AÐE = 49°.
C С
D
49
Calculate
(i) ABC,
(ii) CỘE.
64
B
A
E​

(Angles InThe Figure Shows A Parallelogram ABCD Where BD = 64Elies On AB Such That AE = 49.C D49Calculate(i)

Answers

Answer 1

Answer:

m<ABC = 116°

m<CDE = 67°

Step-by-step explanation:

✔️m<ABC = 180 - m<BAD (adjacent angles of a parallelogram are supplementary)

m<ABC = 180 - 64° (Substitution)

m<ABC = 116°

✔️m<CDA = m<CDE + m<ADE (angle addition postulate)

m<CDA = m<CDE + 49°

m<CDA = m<ABC (opposite angles of a parallelogram are congruent)

m<CDE + 49° = 116° (substitution)

m<CDE = 116° - 49° (Substraction property of equality)

m<CDE = 67°

Related Questions

Determine the ratio of shaded sections to striped sections. Then explain its meaning.

Answers

Answer:

Determine the ratio of shaded sections to the total number of sections. Write the ratio as a fraction in simplest form and as a decimal.

Answer:

3/8

Step-by-step explanation:

Total no. of sections= 8

No. of shaded sections= 3

Therefore, the ratio = 3/8

Quadrilateral abcd is inscribed in a circle choose a statement for each step in the proof that proves ABCD is a square

Answers

Answer:

The four sides of the lines tangent to the circle are equal.

Step-by-step explanation:

Inscribed circle is inside the four or more lines of a geometric shape. In the given inscribed circle the there are four lines which are tangent to the circle. The four line are equal in length and two of the lines are parallel. This confirms that the geometric shape is a square.

The value of 2n is between which pair of numbers?

Answers

Answer:

um.. wut numbers?

Step-by-step explanation:

HELPPP
8g + 25 = 97
Solve for G

Answers

Answer: 120 g

Step-by-step explanation:

Which is the value of the expression? (-2) to the fourth power

A. -16


B. -8


C. 8


D. 16

Answers

Answer:

Variant D

Step-by-step explanation:

-2*(-2)*(-2)*(-2)=16

If I bought an outfit for $24.50 and sales tax is 8%, how much will I have to pay in all? *

Answers

Answer:

26.46

Step-by-step explanation:

24.50 x .08 = 1.96 (this is our sales taxes)

1.96 + 24.50 = 26.46

tracen el lado que mide 12 centímetros y los arcos de circunferencia de los extremos del segmento con radio igual a la medida de otro lado y uno los extremos con el punto de intersección de los arcos para formar el Triángulo consideren El ejemplo de la derecha la medida de los tres lados permite garantizar que la reproducción es congruente al triángulo original porque​

Answers

Answer:

can you translate to english

Step-by-step explanation:

I can't understand plss?

Please help me pleaseeeee

Answers

Answer:

EF=28.8

EG=45.7

FG=16.9

FH=43.1

GH=55.8

Step-by-step explanation:

tanA=opp/adj

tan48=EH/EF

1.11061251483=32/EF

EF=28.8129294175

tanA=opp/adj

tan35=EH/EG

0.70020753821=32/EG

EG=45.7007362157

EG=FG+EF

45.7007362157=FG+28.8129294175

FG=16.8878067982

a²=b²+c²

FH=√(EF²+EH²)

FH=√(28.8129294175²+32²)

FH=43.0602473474

a²=b²+c²

GH=√(EG²+EH²)

GH=√(45.7007362157²+32²)

GH=55.7902974598

16. A photograph is reduced to 75% of its original size. The photo was originally 96 squaro Inches. What is
the now area after it has boon reduced?

Answers

Answer:

mom clock usualli a h i j o

1 box contains 23 crayons then______6 box will have crayons​

Answers

Answer:

138 crayons

Step-by-step explanation:

1 box is 23

6x23 is 138

What is the intercept of

y=-1/2x-1 and y=1/4x-4

Answers

Answer:  The y-intercept of y = -1/2x -1  is (0,-1)

The y-intercept of y = 1/4x -4  is (0,-4)

The attachment shows the graph of these equations.

Step-by-step explanation:

Both equations are in slope-intercept form. y = mx + b

The constant, b, is the y-intercept.

The y-intercept of y = 1/2x -1  is (0,-1)

The y-intercept of y = 1/4x -4  is (0,-4)

What is y- intercept?

On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.

Given:

y=-1/2x-1 and y=1/4x-4

For Finding the y- intercept put x= 0 we get

y = -1/2(0) -1

y= 0- 1

y= -1.

For Finding the y- intercept put x= 0 we get

y=1/4(0)-4

y= 0- 4

y= -4

Learn more about y- intercept here:

https://brainly.com/question/14180189

#SPJ2


The sum of an equation is 45/100

One addend is 4/10
What is the missing addend?

Answers

Answer:

The missing addend is 1/20

Step-by-step explanation:

Variable x: missing addend

4/10 + x = 45/100

When adding or subtracting fractions, the denominators must be the same number.

To convert 10 to 100, we must multiply 10 by 10.

If we multiply 10 to the denominator, we must do the same to the numerator (multiply by 10).

4 × 10 / 10 × 10

40/100

Use this fraction in the equation now

40/100 + x = 45/100

Now isolate the variable, x, by subtracting 40/100 from both sides

40/100 - 40/100 + x = 45/100 - 40/100

When subtracting fractions, only subtract the numerators. The denominators remain the same

x = 5/100

Simplify 5/100

Both numbers can be divided by 5

5 ÷ 5 / 100 ÷ 5

1/20

What single percentage change is equivalent to a 11% increase followed by a 15% increase?​

Answers

Answer:

It's a total increase by 27,65%

Step-by-step explanation:

1,11 × 1,15 = 1,2765

1,2765 = +27,65%

please someone help me

Answers

Answer:

Step-by-step explanation:

x≥3

x<5

x≤ 11/4

x>7

x<2

What is the median of the data set? 60,70,45,60,80,35,45

Answers

Answer:

Step-by-step explanation:

60

Answer:

60 is the median

Step-by-step explanation:

eo to!

The dot plots below show the age of some dance students and some yoga students: Two dot plots are shown one below the other. The top and the bottom plots have the title Dance Students and Yoga Students respectively. Below the line for each dot plot is written Age followed by years in parentheses. The markings on each line are from 10 to 30 at intervals of 1. For the top plot there are two dots for 13 and 16 and 1 dot each for 12, 15, 17, 18, and 20. For the bottom plot there are 2 dots for 25 and 1 dot each for 17, 19, 20, 22, 24, 27, and 29. Based on visual inspection of the dot plots, which group of students appears to have the larger average age? The yoga students The dance students Both groups are similar. Not enough information is available to draw a conclusion.

Answers

Answer:

The yoga students

Step-by-step explanation:

This one is kinda easy but i took the test and got it right have a good day! :)

Answer:

yoga students

Step-by-step explanation:

i did the math in math class for this question lol.

Translate and solve: 588% of what number is 3234?

Answers

Answer:

550

Step-by-step explanation:

1) if the required number is 'x', then the condition may be written as 5.88*x=3234.

2) x=3234/5.88=550.

A bag of marbles contains 6 blue, 18 green, 4 red, 2 yellow, and 10 black marbles what is the probability of drawing a green marble?

Answers

9/20 or 45% is the correct answer!6 + 18 + 4 + 2 + 10 = 4018/40simplifies to9/20OR45%Please let me know if I am wrong.

Please help cause my class over in a few mins please hurry

Answers

Answer:

3x+4

Step-by-step explanation:

just combine like terms

x+2x= 3x

3+1=4

(2a+5a²)+(2a-a²)

cual es el resultado ​

Answers

[tex]4a + {4a}^{2} [/tex]

Step-by-step explanation:

1) Remove parentheses.

[tex]2a + {5a}^{2} + 2a - {a}^{2} [/tex]

2) Collect like terms.

[tex](2a + 2a) + ( {5a}^{2} - {a}^{2} )[/tex]

3) Simplify.

[tex]4a + {4a}^{2} [/tex]

Therefor, the answer is, 4a + 4a².

What the answer please!!!!

Answers

Answer:

a

Step-by-step explanation:

Enter an equation for the function. Give your answer in the form a(b)n. In the event that a = 1, give your answer in the form (b)n.

A pharmaceutical company is testing a new antibiotic. The number of bacteria present in a sample when the antibiotic is applied is 11000. Each hour, the number of bacteria present decreases by half. The number of bacteria remaining r(n) is an exponential function of the number n of hours since the antibiotic was applied.

the equation is r(n) = _____

Answers

Answer:

5757

Step-by-step explanation:

(25m + 22) + (9m) = ?​

Answers

the answer should be 38m+22. hope this helped you!! :)

Ok so collect like terms 22m+22+9m then factor the expression 34m+22 and the solution 2(17m+11)

4
Which equation will solve the following word problem? Sue's class has 50 students. 20% of the students are in art class. How many students are NOT in art class?
Will give brainliest for correct answer


a)50/(50 * 0.20) = x


b)50 + (50 * 0.20) = x


c)50 - (50/0.20) = x


d)50 - (50 * 0.20) = x

Answers

Answer:

OK thanks

Step-by-step explanation:

The water is shallow but I have a short tour in your head with a bit of

Answer: Letter D

Step-by-step explanation:

Geometry Will give Brainlist

Answers

Direct answer :[tex]\color{plum}\boxed{\bold{\tt Statements :} } [/tex]segment AE and BD bisect each other. ∠BCA and ∠DCE are equal. Segment AC and segment CE are equal. Segment BC and segment CD are equal. △ACB≅△ECD

[tex]\color{plum}\boxed{\tt Reasons : }[/tex]Given. They are vertically opposite angles, so they are equal.The bisector BD divides segment AE into two equal parts which are Segment AC and segment CE.The bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.△ACB≅△ECD under the SAS congruence criterion because two sides and one included angle is equal.

Steps to derive these statements and reasons :

Given :

segment AE and segment BD bisect each other

Which means :

∠BCA and ∠DCE are equal because they are vertically opposite angles. Segment AC = segment CE because the bisector BD divides the segment AE into two equal parts which are segment AC and segment CE.segment BC and segment CD will be equal because bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.

Since two sides and one included angle is equal △ACB≅△ECD under the SAS congruence criterion .

whats an inverse relationship?

Answers

Answer:

relationship between two variables such that when the value of one variable is high then the value of the other variable is probably low

Step-by-step explanation:

Dave is thinking of a number.
The number is:
• greater than 200
• less than 300
a square number
a multiple of 5
What number is Dave thinking
of?
12pt v
Paragraph

Answers

The number that Dave may be thinking of is 225.

We can agree that 200 < 225 < 300

225 is also a perfect square as 15 x 15 does equal 225

Additionally, 225 is divisible by 5... 225/5=45

A kingfish needs to be cut into 8-ounce pieces. If the fish weights 12.5 pounds, how many pieces can be cut? 1 pound=16 ounces

Answers

Answer:

25 pieces

Step-by-step explanation:

12.5 * 16= 200 ounces

therefore 200/8=25

A student took a system of equations, multiplied the first equation by 2 and the second equation by 3, then added the results together. Based on this, she concluded that there were no solutions. Which system of equations could she have started with?

1) 2x-4y=6
3x+6y=9

2) 3x+y=12
-3x+6y=6

3) -2x+4y=4
-3x+6y=6

4) 3x+6y=9
-2x-4y=4

Answers

Answer:

system 4.

Step-by-step explanation:

3x+6y=9

multiply by 2

6x+12y=18   ....(1)

-2x+-4y=4

multiply by 3

-6x-12y=12   ...(2)

add (1) and (2)

0+0=30

which is impossible .It has no solutions.

Answer:4) 3x+6y=9-2x-4y=4

Step-by-step explanation:

I got the answer right

Earth is 92.96 million miles from the su orbits the sun in about 365, 26 days traveling at an average speed of 18.51 miles per secondHow far does Earth travel in minute(60 seconds)

Answers

Answer:

multiply the time and speed the divide the distance with the value of a minute.

Step-by-step explanation:

365 x 26 x 18.52 = 175,754.8 divided by 60 = 2,929.246666666667

simplify into 2,929.2

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