ABC is a triangle
AB = AC and BA is parallel to CD
Work out the size of the angle marked x

ABC Is A TriangleAB = AC And BA Is Parallel To CDWork Out The Size Of The Angle Marked X

Answers

Answer 1

Step-by-step explanation:

so as ∆BCE is a right angled triangle

angle BEC = 90°

angle CBE = 22° (given)

apply angle sum property of triangle

so according to that

BCE + CBE + ECB = 180

22° + 90° + ECB = 180

102° + ECB = 180

ECB = 180 - 102

ECB = 78°

and also we know, that exterior angle of a triangle is equal to 2 interior angle of triangle,

so ,

x = 78°

hope this answer helps you dear! take care

ABC Is A TriangleAB = AC And BA Is Parallel To CDWork Out The Size Of The Angle Marked X

Related Questions

Four times a number, increased by 10, is -2
what is the number?

Answers

Answer:

-3

Step-by-step explanation:

-3 × 4 = -12

-12 + 10 = -2

The time, t, it takes a runner to cover a specified distance is inversely proportional to the runner's speed. If Jann Avery runs at an average of 6 miles per hour, she
will finish a race in 2. 1 hours. How long will it take Jackie Donofrio, who runs at 4 miles per hour to finish the same race?

Answers

To solve this problem you will need this tool, it is the formula of speed :

speed = distance/time

(I suggest you to remember this one for life, it is a really useful one)

Let's check how long that Jackie nice dude will take to finish the race...

Jann avery runs at an average of 6 mph (miles per hour), so we already got the speed for our formula. And she will finish the race in 2.1 hours so we got the time. What do we miss ? The distance.

Let's write what we already know to solve this puzzle :

6 = d / 2.1

Where d is that unknown distance..  So we are in front of an equation here let's solve it :

d / 2.1 = 6

d = 6 * 2.1

d = 12.6 miles

Now that we know that distance, for the race, we can see if that poor Jackie Donofrio has all his chances to catch Jann Avery...

We already know his speed... and since we have the distance, we write :

4 = 12.6 / t

Where t is the unknown time, for Jackie, to finish the same race. Let's solve the equation :

4t = 12.6 (we multiplied t on each side of the equation)

t = 12.6 / 4

t = 3.15

Jackie Donofrio, who runs at 4 miles per hour, will finish the race in 3.15 hours

Good Luck

What is 2 2/3×3 1/4 as a fraction form

Answers

the fraction form is 26/3 or 8 2/3

Use the remainder theorem to find P(-3) for P(x) = 2x² + 4x²+4.
Specifically, give the quotient and the remainder for the associated division and the value of P(-3).
Quotient= ?
Remainder= ?
P(-3) = ?

Answers

Answer:

P ( 3 ) = 16

the remainder is  

P ( a )

I need help. I'm suppose to find the angle of "o"​

Answers

Answer: 66



Hope this helps, if you need an explanation just ask

what is the equation of the line that passes through the point (4, 8) and has a slope of 0?

Answers

Answer:

y=8.

Step-by-step explanation:

1) if according to the condition slope=0, then the slope-interception form of the required equation is: y=i, where i - interception;

2) if according to the condition the point (4;8) belongs to the required equation, then the required equation is: y=8

Need help with this ASAP I’ll mark brainliest

Answers

where is the question ??
i don’t see the question

Find the slope of the line that passes through (10, 9) and (6, 18).

Answers

Answer:

M = -2 1/4

Step-by-step explanation:

You can use the formula y2 - y1 / x2 - x1 to get your answer.

y2 is 18 and y1 is 9. x2 is 6 and x1 is 10 so plugging that into the formula above you will get 18 - 9 / 6 - 10.

18 - 9 is 9 and 6 - 10 is -4

9/-4 = M (M is short for slope)

M = -2 1/4

Hope this worked for you.

What is the slope I need the answer fast

Answers

gradient=∆ in y values /∆ in x values

Step-by-step explanation:

pick any two points through which the line is passing through then label the values (any) x¹ and y¹ then x² and y². then subtract y²-y¹/x²-x¹

From a group of students, 28 students like rice, 23 students like dumplings, 16 students like both and 11 students do not like rice nor dumplings. How many students were interviewed?

Answers

78

Step-by-step explanation:

23+28+16+11=78

people who was interested in the restaurant

n^2+6n+c

Find the value of c that completes the square

Answers

Answer:

The value of ”c” can by found by this formula: (b/2)^2. In this equation the ”b” is 6. So, (6/3)^2=3^2=9.

The value of “c” that completes the square is 9.

:)

Please help! I will give points <3

Answers

-261 you are welcome

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{b - 6a}\\\large\textsf{= \boxed{\textsf{44}} - 6\boxed{\textsf{(3)}}}\\\large\textsf{= 44 - 18}\\\large\textsf{= 26}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\textsf{26}}}}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]

Find the value of x
[tex]24\%ofx = 90[/tex]

Answers

x=375

Answer:

Solution given:

24% of x=90

or [tex]\frac{24}{100} *x=90[/tex]

[tex]\frac{6*x}{25}=90[/tex]

6x=90*25

6x=2250

x=[tex]\frac{2250}{6}[/tex]

x=375

The gov't of SVG has $1000,000 to share amongst (Health, Tourism, Edu) in the ratio 3.5.2 respectivity. How does each sector gets ? much honey 3 X​

Answers

Answer:

The operational guide of the Saint Vincent and the Grenadines Bureau of Standards (SVGBS) is envisaged in its mission and vision statements.

Step-by-step explanation:

WIlL GIVE BRAINLIEST!!!
Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that x represents the number of $1 increases in the cost of the buffet.

Enter the correct answer in the box. Type the cost expression on the first line and the customer expression on the second line.

Answers

The expressions that can be used to derive the quadratic inequality for the

situation are;

Cost: 10 + xCustomers: 16 - 2·x

Reasons:

The parameters of the restaurant are;

The charge per buffet = $10

Number of customers that choose the buffet every hour = 16 customers

For an increase in $1 in the cost of the buffet, the customers decrease by 2 per each hour.

The required minimum revenue per hour = $130

Required:

The situation is to be modelled as a quadratic inequality.

Two expressions for the situation, one for the cost and one for the

customers.

Assumption: x = The number of $1 increases in the cost of the buffet

Solution:

The expressions are;

The cost of the buffet for an increase in x dollars is; Cost = 10 + x

The expression for the customers when the cost increases by x amount is; Customer = 16 - 2·x

Which gives;

Cost × Customers = Revenue

The inequality that models the situation is therefore;

(10 + x) × (16 - 2·x) ≥ 130

Which gives;

160 - 20·x + 16·x - 2·x² ≥ 130

160 - 4·x - 2·x² ≥ 130

Learn more about inequalities here:

https://brainly.com/question/10081223

Answer:

Cost: 10 + x

Customers: 16 - 2·x

Step-by-step explanation:

I got it right. Hope this helps.

A triangle has angles with the following measures: (x2 + 34)°, (6x + 4)°, and (10x + 10)°. Solve for x. show all work please

Answers

Answer:

[tex]x = \frac{-8 +\sqrt{190} }{2}[/tex] or x = 5.7840

Step-by-step explanation:

All the angles of a triangle add up to 180°, so we can solve this using the following equation:

180 = (x^2 + 34) + (6x + 4) + (10x + 10)

180 = x^2 + 34 + 6x + 4 + 10x + 10

Now, let's combine like terms:

180 = x^2 + (6x + 10x) + (34 + 4 + 10)

180 = x^2 + 16x + 54

Subtract 180 from both sides:

0 = x^2 + 16x - 126

And solve using the quadratic formula:

[tex]x = \frac{-b +\sqrt{b^{2}-4ac } }{2a}\\x = \frac{-16 +\sqrt{16^{2}-4(1)(-126) } }{2(1)}\\x = \frac{-16 +\sqrt{256+504 } }{2}\\x = \frac{-16 +\sqrt{760} }{2}\\x = \frac{-16 +2\sqrt{190} }{2}\\\\x = \frac{-8 +\sqrt{190} }{2}\\[/tex]

And we can approximate this as a decimal, if needed:

x = 5.7840

The length, breadth and height of a cuboid are in the ratio 6:3:5. If the total surface area is 504cm2, calculate area of 4 walls


please answer quick (i will mark as brainliest)

thank u

Answers

Step-by-step explanation:

metallic when has is equipment death of amiloride open interval a b payment to see payment payment details

Determine the value of x in the diagram.

Answers

Answer:

x=48 because 180-156=24. 108+24=132 180-132=48

HELP ASAP im failing math plz help

Answers

Answer:

x + 9

y + 11

(IGNORE, This part will fill the 20 letter minimum limit)

please help i really need it.
change the subject of the formula to x
x/6 − 5 = w​

Answers

Step-by-step explanation:

x/6=w+5

x=6(w+5)

x=6w+30.

hope this helps you.

The value of x is x = 6w + 30

Data;

[tex]\frac{x}{6} - 5 = w[/tex]

Subject of Formula

This is a mathematical terms used to represent a value from an entire equation.

In the given equation, we are given a value required to make x the subject of formula

Step 1

Add 5 to both sides of the equation

[tex]\frac{x}{6}-5 + 5 = w + 5\\\\\frac{x}{6} = w + 5[/tex]

Step 2

Cross multiply both sides

[tex]\frac{x}{6} = w + 5\\\frac{x}{6} = \frac{w+5}{1} \\x(1) = 6(w+5)\\x = 6(w+5)\\x = 6w + 30[/tex]

From the calculations above, the value of x is x = 6w + 30

Learn more on subject of formula here;

https://brainly.com/question/790938

Please help I’ll give brainylist in return

Answers

Answer: its an enlargement and when it enlarges A goes up 6 and moves to the right 3 spaces P stays the same b also moves to the right 6 spaces

so in conclusion answers are

A'=(8,5)

B'=(-2,10)

Step-by-step explanation:

i hopes this helps if it doesn't I'm very sorry i tried helping the best i can :|

there is a triangle angle 1 is 9x - 8, angle to x + 10, and angle 3x + 2

Answers

Answer:

See answer below

Step-by-step explanation:

Finding the measure of each angle.

The sum of the angles in a triangle = 180°

(9x - 8) + (x + 10) + (3x + 2) =  180°

13x + 4 = 180

13x = 180 - 4

13x = 176

x = 176/13

Angle 1 = 9x - 8                     Angle 2 = x + 10                  Angle 3 = 3x +2

             = 9(176/13) - 8                        = 176/13 + 10                        = 3(176/13) + 2

             ≈ 113.8°                                   ≈   23.5°                               ≈ 42.6°

l
A ball is projected upward from ground level. After (t) seconds, its height in feet is
given by the function “h(t) = -16(t)^2 + 112(t)” After how many seconds will the ball reach a height of 192 ft for the first time?

Answers

Answer:  3 seconds

Step-by-step explanation:

h(t) = -16(t)^2 + 112(t)

Set h(t) = 192 feet

192 = -16(t)^2 + 112(t)

0 = -16(t)^2 + 112(t) - 192

Solve using the quadratic formula:  There are two solutions, 3 and 4 seconds.  Three seconds is the first time it reachers 192 feet,  At four seonds it's on its way down.

The function can also be graphed (attached).

what is the slope of the equation above?

Answers

answer: slope is 3/7

Figure ABCD is a trapezoid.
Find the value of x.
В,
2x + 1
17
X
3x + 8
A
D
X
= [?]

Answers

(BC + AD) / 2 = 17

(2x + 1 + 3x + 8) / 2 = 17

5x + 9 = 34

5x = 25

x = 5

Simplify the expression.

16-4[3+2÷(9-7)]

A) 0
B) 6
C) 30
D) 64​

Answers

please branliest if correct

It is 0 (A)

16-4(3+2:2)

16-4(3+1)

16-4 x 4

16-16=0

The answer to your question is A aka 0

what is the value of a rectangular prism with a length of 2x, a width of x-2, and a height of x+2?

Answers

Answer:

what do you mean by x?

Step-by-step explanation:

can y⁵ x y be simplified??​

Answers

Answer:

Yes,

[tex]y^{6} x[/tex]

Step-by-step explanation:

[tex]y^{5} xy = y^{5} *y*x = y^{6} x[/tex]

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than −1.66.

Answers

Using the normal distribution, there is a 0.9515 = 95.15% probability of a bone density test score greater than −1.66.

The graph is given by option B.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:

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

The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean of the distribution. From the z-score table, the p-value associated with the z-score is found, representing the percentile of the measure X.

In the context of this problem, the mean and the standard deviation of the scores are given as follows:

[tex]\mu = 0, \sigma = 1[/tex]

The probability of a bone density test score greater than −1.66 is one subtracted by the p-value of Z when X = -1.66, hence:

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

Z = (-1.66 - 0)/1

Z = -1.66

Z = -1.66 has a p-value of 0.0485.

1 - 0.0485 = 0.9515, which is the probability.

The graph of the probability is given at the end of the answer, and in the context of this problem, is given by option B.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Which quadrilateral has the highest order of rotational symmetry?

Answers

Answer:

it should be C

Step-by-step explanation:

hope this is helpful

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