A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 117° and angle z = 63°. Work out x

Answers

Answer 1

Consider the below figure attached with this question.

Given:

A, B & C lie on a straight line. D, C & E lie on a different straight line.

[tex]\angle y=117^\circ,\angle z=63^\circ[/tex]

To find:

The value of x.

Solution:

A, B & C lie on a straight line.

[tex]m\angle ABD+m\angle DBC=180^\circ[/tex]    (Linear pair)

[tex]y+m\angle DBC=180^\circ[/tex]

[tex]m\angle DBC=180^\circ-y[/tex]

According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

[tex]m\angle DBC+m\angle BDC=m\angle BCE[/tex]        (Exterior angle theorem)

[tex]180^\circ-y+z=x[/tex]

[tex]180^\circ-117^\circ +63^\circ =x[/tex]

[tex]126^\circ =x[/tex]

Therefore, the value of x is 126 degrees.

A, B & C Lie On A Straight Line. D, C & E Lie On A Different Straight Line. Angle Y = 117 And

Related Questions

Please Help me on this question

Answers

Answer:

yellow

Step-by-step explanation:

Its yellow hipe this helps

A bank charge 5.25672% annual percentage rate on a home mortgage . What is this number rounded to the nearest tenth ?

A.5.1
B.5.25
C.5.3
D.6

Answers

Answer:

C. 5.3

step by step explanation:

Answer:

C. 5.3

Step-by-step explanation:

Someone help NO LINKS/WEBSITES PLZ and I will mark brainiest if it’s right :)

Answers

Answer:

I think it would be B) 47.   Sorry if wrong

Step-by-step explanation:

The second hand on a clock is 8 cm long.
What is the distance the tip of the second hand travels in 10 minutes?
Round your answer to the nearest cm.

Answers

Answer:

502cm

Step-by-step explanation:

brainliest maybe?

Answer:

502cm

Step-by-step explanation:

Checked on Khan

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x=2√5

Step-by-step explanation:

1st method:

sin(30)=opposite/hypotenuse=√5/x

sin(30)x=√5

x=√5/sin(30)

x=2√5

2nd method:

cos(60)=adjacent/hypotenuse=√5/x

cos(60)x=√5

x=√5/cos(60)

x=2√5

3rd method:

This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5

A car rental company sells accident insurance to 22% of its customers. Out of 350 customers, about how many customers are predicted to purchase insurance?

Answers

Answer:

77 customers

Step-by-step explanation:

Given data

Percentage of customers= 22%

Total customers= 350

Let us find 22% of 350

=22/100*350

=0.22*350

=77 customers

The angle of elevation of the top of a tower from two points 121 m and 144 m away from the foot of the tower on th same side are found to be complementary. find the height of the tower.​

Answers

Answer:

132 m

Step-by-step explanation:

Refer to attachment for figure.

In smaller triangle with angle theta , we have ,

⇒ tanθ = p/b

⇒ tanθ = h/121m

tanθ = h/121 m

In triangle with angle 90-∅

⇒ tan(90-θ) = p/b

⇒ cot θ = h/144 m

Multiplying these two ,

=> tanθ . cotθ = h/121 m × h/144m

=> 1 = h²/ (121 m × 144m )

=> h² = 121m × 144m

=> h= √ ( 121m × 144m)

=> h = 11m × 12m

=> h = 132 m

PLEASE HELP GEOMETRY PLEASE! SHOW WORK!!

Answers

Answer:

x = 106.5

Step-by-step explanation:

0.4695 = 50/x

0.4695x = 50

x = 106.5

how do you solve 25 and 2/3 when 2/3 is the exponent of 25

Answers

Answer:

Step-by-step explanation:

Im not fully sure about what your asking

If you are attempting to search the answer use ^ than parentheses, 25^(2/3)

If you want to know what 25 to the power of 2/3 is, it is 8.549

Answer to comment:

for fractions the numerator will become the square amount and the denominator will become the sqrt so

25^(2/3)= 25^2=625 = cube root of 625

(i dont know how to get the root symbol in on this so image cube root is just 3 then the root symbol)

Select the correct answer. What are the solutions of this quadratic equation?

6x^2 + 6 = 12x + 18

[tex]x = 1 + \sqrt{3} [/tex]
[tex]x = 2 + 2 \sqrt[]{3} [/tex]
[tex]x = 2 + \sqrt{6} [/tex]
[tex]x = - 1 \: and \: x = 3[/tex]


Answers

Answer:

x=1+√3

Step-by-step explanation:

Let's solve your equation step-by-step.

6x^2+6=12x+18

Step 1: Subtract 12x+18 from both sides.

6x^2+6−(12x+18)=12x+18−(12x+18)

6x^2−12x−12=0

For this equation: a=6, b=-12, c=-12

6x^2+−12x+−12=0

Step 2: Use quadratic formula with a=6, b=-12, c=-12.

x=−b±√b2−4ac/2a

x=−(−12)±√(−12)2−4(6)(−12)/2(6)

x=12±√432/12

x=1+√3

Find the missing side.

Need help please. Need explanation, please.

Answers

Answer: x = 4.37 (rounded)

Step-by-step explanation:

Using the tangent rule.

tan = opposite side/ adjacent side.

I recommend Khan Academy for more practice on this topic.

Answer: x = 4.37 (rounded) Step-by-step explanation: Using the tangent rule. tan = opposite side/ adjacent side.

PLEASE HELP!! Find the circumference of circle K. Round your answer to the nearest hundredth. Circumference = ft

Answers

Answer:

12.57 ft

Step-by-step explanation:

Since triangle ∆EFH is a right angled triangle,side |EF| can be determined by

Sin© = Opposite side ÷ hypothenus side where © is the given angle in the triangle

Sin 60 = 2✓3 ÷ |EF||EF| = 2√3 ÷ sin 60|EF| = 2√3 ÷ 0.8660|EF| = 4ft

Since Line |EF| is a straight line that passes through the centre of the circle and touch two sides of the circumference,

line |EF| is the diameter of the circle

Circumference = 2πr where r = radiusradius = diameter ÷ 2radius = 4 ÷ 2radius = 2 ft

Circumference = 2πr Circumference = 2 × 22/7 × 2Circumference = 12.57 ftCircumference = 12.57 ft

ANSWERS FOR THESE PLEASE DOESNT HAVE TO BE ALL OF THEM

Answers

Step-by-step explanation:

y-intercept: first one is -6

slope:

(-6,0) (0,-3)

-3-0/ 0- -6 = -3/6 = -1/2

3. TBD

4. slope is 3/6 = 1/2

y - 3 = 1/2(x-2)

y = 1/2x +2

5. -4/2 = 2 slope

y-2 = 2(x-3)

y = 2x -4

Translate this sentence into an equation. 53 is the sum of 10 and Malik's savings. Use the variable m to represent Malik's savings.

Answers

Answer:

m+10=53

Step-by-step explanation:

maliks savings=43

What is the value of x?
Enter your answer in the box.

Answers

Answer:

183

Step-by-step explanation:

982

Answer:

45

Step-by-step explanation:

You can use the degrees to find the answer. A right triangle always adds up to 180 degrees. The right angle is 90 degrees.

X + Angle A + Angle B = 180 degrees.

Substitute.

X + 90 degrees + 45 degrees = 180 degrees.

Add them up.

x + 135 degrees = 180 degrees.

now subtract 135 from both sides.

x = 45

A theater charges $7 for adult tickets and $4 for student tickets. A large group purchased 20 tickets and paid $128. How many adult tickets did they purchase?​

Answers

Answer:

the perchase :112 is the gratest nb that give an natural nb 112 ÷7 =16 adult ticket with 16 ÷4 = 4 student ticket

0. The mean of the numbers 4, 3, 3, x is 5
Find x.
A. 20
B. 10
C. 5.
D. 4​

Answers

Answer:

x = 10.

Step-by-step explanation:

From the definition of the mean:

(4 + 3 + 3 + x) / 4 = 5

4 + 3 + 3 + x = 20

x + 10 = 20

x = 10.

a-b³
pls telll
i neeed​

Answers

Answer:

a-b³=a³-3a²b+3ab²-b³

hope it is helpful to you

hi!!! due in 10 mins so please help!!!!

Answers

n^2 + 10n + 25           can be factored as (n+5)^2 , so yes

9x^2 - 24x + 26     can be factored as (3x-4)^2, so yes

what is the sum of 3,3,6​

Answers

Answer:

12

Step-by-step explanation:

Sum means addition. 3 + 3 + 6 = 12

Answer:

12

Step-by-step explanation:

i hope this is what you meant

How do I solve this arithmetic sequence?

Answers

Arithmetic sequence means you add a constant d to a term to get the next.
In other words, a1 = 13, then
a2 = a1 + 4 = 13 + 4 = 17
a3 = a2 + 4 = 17 + 4 = 21
And so on.
There is a formula to find larger terms.
Since a2 = a1 + 4
a3 = a2 + 4
= (a1 + 4) + 4
= a1 + 2*4
a4 = a3 + 4
= a1 + 2*4 + 4
= a1 + 3*4
And so on, notice the pattern:
an = a1 + (n-1)*d
a6 = a1 + 5*d = 13 + 5*4 = 13 + 20 = 33

Answer:

The 6ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 13

Common Difference = (d) = 4

Now, For 6ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₆ = 13 + (6 - 1) × 4

a₆ = 13 + 5 × 4

a₆ = 13 + 20

a₆ = 33

Thus, The 6ᵗʰ term of this sequence is 33

-TheUnknownScientist

Francis surveyed a random sample of 70 7070 students at Franklin High School about their favorite season. Of the students surveyed, 18 1818 chose fall as their favorite season. There are 1816 18161816 students at Franklin High School. Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall? Choose 1 answer: Choose 1 answer:

Answers

Answer:

467

Step-by-step explanation:

Determine the percentage of those sampled whose favourite season is fall

(18/70) x 100 = 25.7%

the sample is representative of the population of students. So, 25.7% of the students would like fall

number of students at Franklin High School whose favourite season is fall = 25.7% x 1816 = 466.7 students

rounding off to the nearest whole number gives 467

Answer:

467

Step-by-step explanation:


The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)', where P is the purchase price of the
baseball card and t is the time, in years since the card was purchased. By what percent does the value of the card increase each
year'?
1 4.5%
2 45%
3 95.5%
4 145%

Answers

The Percentage increase in the purchase price each year is 4.5%.

The given function is:

[tex]V(t)=P(1.045)^t[/tex]

Where P is the purchase price of the baseball card and t is the time.

What is a function?

A function is a rule that establishes a relation between two variables.

[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]

[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]

Percentage increase in the purchase price each year

=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]

[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]

[tex]=4.5%[/tex]%

Hence, the Percentage increase in the purchase price each year is 4.5%.

To get more about functions visit:

https://brainly.com/question/2833285

What negative integer divided by positive 5 would = -6

Answers

Answer:

-30

Step-by-step explanation:

multiply 5*6 =30

since you are working with only one negative number the answer is also negative

WILL GIVE BRAINLIESTTTT and 13 points
HELPPPPPPP
ONLY QUESTION B)

Answers

Answer:

2(n+1)+2

You start with two greens and two columns of two orange squares while adding two orange squares each time. So, the bolded part is the green squares that stay the same. The 2(n+1) represents the two orange columns that increase by one block on each side per image.

Can someone please help me with math.

Answers

I think is A or c for number 2 and number 1 A or d I am not sure

Plot the value(s) on the number line where this function is equal to zero:

f(x) = (x + 5)(x − 1).

Answers

Step-by-step explanation:

if f(x)=0

then

(x+5)=0 and

(x-1)=0

solve for x

x=-5 and x=1

those are the two values where the function equals zero

Hope that helps :)

Answer:

Step-by-step explanation:

Hope this Helps ;)

PLEASE HELP!!! 30+ POINTS

Use the following data to construct a frequency table and calculate the mean, mode, and median.

Answers

Answer:

A measure of average is a value that is typical for a set of figures. Finding the average helps you to draw conclusions from data. The main types are mean, median and mode. Data is also often grouped.

Step-by-step explanation:

To find the mean add all the ages together and divide by the total number of children.

If you type all those ages into a calculator it is easy to make an error.

Foroepwpapqdlkodwoaqqaddeddffffff

Answers

Answer:

lol what

Step-by-step explanation:

Kendra spends $15 buying fabric to make baby blankets.She can make 4 blankets from one pice of fabric.If she sells the blankets for $10 each٫what is her profit?

Answers

Answer:

her profit is $25

Step-by-step explanation:

Given that

She spends $15 for purchasing fabric so that she make the baby blankets

And, she can make 4 blankets from one piece of fabric

Now she sold the blankets for 10 each

So we need to find out the profit

As we know that

Profit = Selling cost - purchasing cost

= (4 × $10) - $15

= 40 - $$5

= $25

hence, her profit is $25

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