What is the value of x?

What Is The Value Of X?

Answers

Answer 1

Answer:

x = 30°.

Step-by-step explanation:

To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.

Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.

There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:

180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.

(x + 10) + (x + 10) = 80

2x + 20 = 80

2x = 60

x = 30°.

Answer 2

Answer:

x=30

Step-by-step explanation:


Related Questions

What are the coordinates of the center of the hyperbola with equation (x-2)^2/4^2-(y+3)^2/5^2=1

Answers

Answer: (6, -3)

(x^2-4x+4)/16-(y^2+6y+9)/25 = 1

x = 6

y = -3

6^2 = 36

4 * 6 = 24

36 - 24 = 12

12 + 4 = 16

16/16 = 1

-3^2 = 9

6 * -3 = -18

9 - 18 = -9

-9 + 9 = 0

0/25 = 0

1 - 0 = 1

I really hope this helped, at least a little bit.

The coordinates of the center of the hyperbola is  (6,-3).

What is hyperbola?

Hyperbola is a type of "smooth curve, lying in the plane defined by its geometric properties or by the equation for which it is in solution set".

According to the question,

[tex]\frac{(x-2)^2}{4^2}[/tex]  -  [tex]\frac{(y+3)^2}{5^2}[/tex] = 1

Standard form of hyperbola = [tex]\frac{(x-k)^2}{a^2}[/tex]  -  [tex]\frac{(y-h)^2}{b^2}[/tex]  = 1.

The expression 'y' is positive leading coefficient so the hyperbola so the hyperbola is open upward and downward . Comparing with standard equation we get center of hyperbola (2,-3) and 'a' point the hyperbola is 4 and the 'b' point of hyperbola is 5 and mark point 5 unit right as well as left on x-axis and 4 unit up and down on y-axis.

From above discussion we get clearly the coordinate of hyperbola is

(6-3).

Learn more about hyperbola here

https://brainly.com/question/10336462

#SPJ2

Use the function f(x) = 5x^2 + 2x − 3 to answer the questions.
Part A: Completely factor f(x).
Part B: What are the x-intercepts of the graph of f(x)? Show your work.
Part C: Describe the end behavior of the graph of f(x). Explain.
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.

Answers

A) (5x-3)(x+1)

B) [tex]\frac{-2 \pm \sqrt{4+60}}{10} = \frac35 \text{or} -1[/tex]

C) it gets up really high

D) Plug values in of x to get y and plot!

if i were to save 10 dollars each 2 weeks how much will i have in 2 months

Answers

Answer:

I think the answer is 40.5

Step-by-step explanation: Because there are 4 and a half weeks in a month..... at the least. I may be wrong, just took a lucky guess. dont take my word for it.

answer: 87
because there’s 4.35 weeks in a month so 2 months would be 8.7 weeks so 8.7 weeks times 10 is 87

The circumference of a standard centre circle on a football pitch is
57.43m. What is its radius?

Answers

Answer:

9.14 m

Step-by-step explanation:

r=C

2π=57.43

2·π≈9.14027

____________________________

Solution,

Circumference of circle=57.43m

Radius=?

Now,

Circumference of circle=2 pi r

or,57.43=2*3.14*r

or,57.43=6.28*r

or,r=57.43/6.28

r=9.14 m

It's radius is 9.14m

Hope it helps

Good luck on your assignment

___________________________

The perimeter of a rectangle field is 48 yards. The length is 6 yards more than the width. Find the length and width of the rectangle field.

A. Length = 10 yards; width = 4 yards
B. Length = 11 yards; width = 5 yards
C. Length = 15 yards; width = 9 yards
D. Length = 9 yards; width = 3 yards

Answers

Answer:

C. Length = 15 yards; width = 9 yards

Step-by-step explanation:

When you multiply the length and width by two and add them together, this answer is the only one that results in 48.

Which expression is equivalent to 121 - x^2​

Answers

Answer:

(11-x)x(11+x)

Step-by-step explanation:

-(x^2–121)
-(x^2-11^2)
X^2-y^2
(X+y)(x-y)
-(x+11)(x-11)


Find the coordinate of point X inside segment BE that is 3/4 the
distance from B to E.​

Answers

Answer:

i really dont know

Step-by-step explanation:

this is confusing

work out the surface area of the shapes in the attached file

Answers

Answer:

Find the area of every shape

12 x 9 = 108. Don't divide because there is two

12 x 14 = 168

14 x 9 = 126

15 x 14 = 210

108 + 168 + 126 + 210 = 612

____________________

2 x pi x radius x height + 2 x radius x radius x height

466.5

Step-by-step explanation:

list the first 3 terms, then evaluate

Answers

Answer:

[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex].

Step-by-step explanation:

The given expression is

[tex]\sum\limits_{i=1}^{10}(1-2i)[/tex]

We need to find first 3 terms, then we have evaluate the value.

Here,  

[tex]a_i=1-2i[/tex]

For i=1,

[tex]a_1=1-2(1)=1-2=-1[/tex]

For i=2,

[tex]a_2=1-2(2)=1-4=-3[/tex]

For i=3,

[tex]a_3=1-2(3)=1-6=-5[/tex]

So first three terms are -1,-3,-5. It is an AP with first term -1 and common difference -2. So, next 7 terms are -7,-9,-11,-13,-15,-17,-19.

Now,  

[tex]\sum\limits_{i=1}^{10}(1-2i)=(-1)+(-3)+(-5)+(-7)+(-9)+(-11)+(-13)+(-15)+(-17)+(-19)[/tex]

[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex]

Therefore, the value of [tex]\sum\limits_{i=1}^{10}(1-2i)[/tex] is -100.

In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is
1. Sqrt 8
2. Sqrt 37
3. Sqrt 27
4. 4

Answers

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

c^2 = 37

c = sqrt(37)

Correct option: 2

what is the length of the hypotenuse of a triangle with legs of 8 and 19?

a. 17.2
b. 20.6
c. 297
d. 425

Answers

Answer:

B

Step-by-step explanation:

Help please! Will give brainly! Jada noticed that the distances fallen are all multiples of 16. She wrote down:

Answers

Answer:

Look at the underlined numbers

So we have 16 = 16*1

then 64 = 16*4

the difference would be 3

then 144 = 16*9

the difference would be 5

256 = 16*16

the difference would be 7

400 = 16*25

the difference would be 9

so the next one would be 11+25=

3, 5, 7, 9, 11

ANSWER: 16*(11+25) = 36*16 = 576

Step-by-step explanation:

I explained before this

A 16-inch diameter (8-inch radius) car tire is one of the most popular sizes for today's car Find the number of revolutions made by a tire with a radius of 8
inches that travels 5,280 feet (or 1 mile). Use 3.14 for T. Round your answer to the nearest tenth of a revolution. (Hint: Be sure to use the same unit of
measurement.)

none of these

260.9 revolutions

8.8 revolutions

1261.3 revolutions

Answers

Answer:

1261.3 rev

Step-by-step explanation:

Circumference of tire: 3.14(4/3)

4.187 ft.

5280/4.187

1261.3

Help me ASAP please, I really want to finish this

Answers

Answer:

C. 1.5 ft

Step-by-step explanation:

Using the Pythagorean theorem:

[tex]x=\sqrt{3.9^2-3.6^2}=\sqrt{15.21-12.96}=\sqrt{2.25}=1.5[/tex]

Hope this helps!

I agree with the answer above it's 1.5 ft which is C.

:D

HELLPPPP PLEASE ASAP WILL MARK BRAINLIEST!! PLEASW AND THANK YOUUU!!!

Answers

1. It is the product of a square, meaning it can be simplified to (x+10)(x+10) or (x+10)^2

The answer is here

-3x^2+6x+9=
WHY JUST WHY !!!! ?

Answers

Oh, my, goodness!!!!!! :)

You are cracking me up so much right now!!!!! :)

But, yeah, I hear ya! :)

Answer:

[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]-3x^2+6x+9\\\mathrm{Factor\:out\:common\:term\:}-3:\quad -3\left(x^2-2x-3\right)\\-3x^2+6x+9\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2\\=-3x^2+3\cdot \:2x+3\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x^2-2x-3\right)\\\mathrm{Factor}\:x^2-2x-3:\quad \left(x+1\right)\left(x-3\right)\\x^2-2x-3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+x\right)+\left(-3x-3\right)[/tex]

[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+x\mathrm{:\quad }x\left(x+1\right)\\x^2+x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=xx+x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(x+1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-3x-3\mathrm{:\quad }-3\left(x+1\right)\\-3x-3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x+1\right)\\=x\left(x+1\right)-3\left(x+1\right)\\\mathrm{Factor\:out\:common\:term\:}x+1\\=\left(x+1\right)\left(x-3\right)[/tex]

[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]

Help please fast please

Answers

Answer:

<

Step-by-step explanation:

89835000000*10^-7 = 8983.5

8.9835*10^5= 898350

8983.5 < 898350

Answer:

<

Step-by-step explanation:

Simplify each of the numbers

89835000000 x 10^-7 = 8983.5

8.9835 x 10^5 = 89835

89835000000 x 10^-7 < 8.9835 x 10^5

The accompanying stem-and-leaf plot represents Kiko's test scores this year. What is the median score for this set of data?

Answers

Answer: 80

Write down all the values and cross out until you get to the middle, since there are 2 values, find the mean, which would be 80

Lisa wears 10 rings in her hand. Each ring weights 250 grams. Find the
weight of all the rings in kilogram.

Answers

Answer:

2.5 kilograms

Step-by-step explanation:

10 rings times each weight ring(250)=2500

2500 grams to kilograms is 2.5

A football player runs 10.7 m/s toward the end zone. If he runs for 3.7
seconds how far does he get?

Answers

Answer:

39.59

Step-by-step explanation:

D= 90* AC=17 cm AD=10 cm CD=?cm

please in need help in this

Answers

Answer:

Step-by-step explanation:Idon't say u must have ro mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me....

Answer:

CD=

[tex] \sqrt{189} [/tex]

Step-by-step explanation:

using phaythagorous theorem

CD^2+10^2=17^2

CD^2= 17^2-10^2

CD^2=289-100

CD^2=189

CD=

[tex] \sqrt{189} [/tex]

will mark bianleast
Find the mean of the data in this set.



9.4

6

8.5

8

Answers

Answer:

The mean is 7.975.

Step-by-step explanation:

Answer:

The correct answer is  9.4, Hope this helps!

Step-by-step explanation:

I took the test and this was the correct answer!

WILL GIVE BRAINLIEST AND 30 POINTS! Peter calculated |5 + 13i| by finding Where was Petey’s mistake? He should not have used the Pythagorean theorem. He should have used 13 instead of 13i. (13i)2 = 169, not –169.

Answers

Answer: He should have used 13 instead of 13i

Step-by-step explanation:

Answer:

He should have used 13 instead of 13i

Step-by-step explanation:

Write the slope-intercept form of the equation. 2y+5x=–1

Answers

Answer:

y=-5/2x-1/2

Step-by-step explanation:

HOPE THIS HELPS:)

STAY SAFE:)

Pure gold is often mixed with other metals to produce jewelry. Pure gold is 24 carat. 12 carat gold is 12/24 or 50% gold, 6 carat gold is 6/24 or 25% gold, etc. A jeweler has some 12 carat gold and some 21 carat gold and wants to produce 90 g of 75% gold.

a. What percentage of gold is 21 carat?

b. How many grams of 12 carat gold and 21 carat gold are needed to produce the mixture?

Answers

Answer:

a. 87.5%

b. 30 g of 12 carat and 60 g of 21 carat.

Step-by-step explanation:

a. The percentage of gold in 21 carat is given by:

[tex]gold_{21} = \frac{21}{24}*100 = 87.5 \%[/tex]

b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:

[tex]x + y = 90[/tex]

The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:

[tex]0.5*x + 0.875*y = 0.75*90\\\\0.5*x + 0.875*y = 67.5\\[/tex]

We now have a system of equations which we can solve to find the necessary mass of each type.

[tex]x + y = 90 \text{ } *-0.5\\0.5*x + 0.875*y = 67.5\\\\-0.5*x - 0.5*y = -45\\0.5*x + 0.875*y = 67.5\\\\0.375*y = 22.5\\\\y = 60[/tex]

[tex]x = 90 - y = 90 - 60\\\\x = 30[/tex]

He needs 30 g of 12 carat gold and 60 g of 21 carat gold.

Answer:

a. 87.5%

b. 30 g of 12 carat and 60 g of 21 carat.

Step-by-step explanation:

a. The percentage of gold in 21 carat is given by:

b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:

The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:

We now have a system of equations which we can solve to find the necessary mass of each type.

He needs 30 g of 12 carat gold and 60 g of 21 carat gold.

Step-by-step explanation:

Wrong answers only

what is 1+1

Answers

Answer:

Real answer is 2

Fake answers are

11

or

Window

:)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

The snack that smiles back ℎ.

In the equation, y = -4x + 10, what are the slope (m) and y-intercept (b)?

a. m = -4, b = -10
b. m = -4, b = 10
c. m = 10, b = -4
d. m = 10, b = 4

Answers

Answer:

Its B

Step-by-step explanation:

the y interceot is +10 so it is positie 10 and the slope is -4 so it is negative 4

b) y and z are whole numbers.
y < 70
Z<60
Work out the largest possible value of y + z

Answers

Could it possibly be that
Y=69
Z=59
Therefore 69+59=128

John received 3 detentions in the fourth quarter. He received 4 other
detentions for 1st and 2nd quarters combined. He received 12 for the
whole school year so how many detentions did he receive in the 3rd
quarter?

Answers

Answer:

5

Step-by-step explanation:

12 - (3+4)

12 - 7

12 - 7 = 5

5

Answer:

5

Step-by-step explanation:

12 - (3 + 4)

12 - 7

12 - 7 = 5

evaluate (m/n)(x) for x=-3

Answers

Answer:

(-3m)/n

Step-by-step explanation:

(m/n)(x)

For x = -3,

(m/n)(-3) =

-3(m/n) =

(-3m)/n

Our answer is fully simplified

Answer:

your answer is 1

Step-by-step explanation:

answer on edgen uity

Other Questions
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