find the value of xin the triangle shown below

Find The Value Of Xin The Triangle Shown Below

Answers

Answer 1

Answer:

[tex]x=80^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to [tex]180^{\circ}[/tex], we set up the following equation:

[tex]x+50+50=180[/tex].

Solving, we get:

[tex]x+100=80,\\x=\fbox{$80^{\circ}$}[/tex].

Solution 2:

The Law of Sines states:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex], for any triangle.

We can use this to set up a proportion with the information given:

[tex]\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}[/tex].

Solving, we get:

[tex]x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}[/tex].


Related Questions

Help pls I have no clue how

Answers

Answer:

Step-by-step explanation:

By using regression line calculator,

Equation of the regression line from the data given,

y = -0.38993x + 26.95184

Here, y = weekly hours of sport

x = Time to run

For x = 50 minutes,

y = -0.38993(50) + 26.95184

  = 7.45534

  ≈ 8

Since, slope of the given regression line is negative, correlation will be negative (n).

I don’t know how to do this,someone please help,and explain maybe

Answers

Answer:

I can explain. look at variables (letters) ..7,2,3 in back of numbers. With this numbers it's an x. In front of 7x its a - or +. It tells you to either subtract or add...7x°-2x°+2x°-3. Start with 7x minus 2°, minus 2°, plus two & at end subtract 3

Answer ASAP this practice is due tomorrow

Answers

Answer:

i think it's Z = 8,4

I'm not sure

Combine as indicated by the signs. 2x/y2-x2 - x/y-x​

Answers

2^6+x+y^2 .....................

Answer: (2x - xy - x^2) / (y + x)(y - x)

Step-by-step explanation: *graded correct

First simplify:              2x / y^2 - x^2 = 2x / (y+x)(y-x)

Next subtract x / y-x: 2x / (y+x)(y-x) - x / y-x

Get:                              x(2-y-x) / (y+x)(y-x)

Simplify numerator :   (2x - xy - x^2) / (y+x)(y-x)

Reduce to simplest form.
-7/12 +3/8

Answers

Answer:

-5/24

Step-by-step explanation:

here u gooo :).....

Four out of six dogs weigh less than 50 pounds. What is the decimal equivalent for the number of dogs weighing under 50 pounds?

Answers

Answer:

0.667

Step-by-step explanation:

The graph of a function f is shown below. Use the zeros and the turning points of the graph to find the rule for f.

A.
f(x) = x4 − 8x2 + 16

B.f(x) = −x4 + 5x2 − 4

C.f(x) = x3 + x2 − 4x + 4

D.f(x) = x4 − 5x2 + 4


Answers

Answer:

Answer is D

Step-by-step explanation:

Using the zeros of the graph we should have y=0 when we put x=-2, x=-1, x=1, x=2

Only the function on option D works, so the answer is D

The lengths of the side of a triangle are 14 inches, 10 inches , and 8 inches. If the length of the shortest side of a similar triangle if 4 inches, the length of the longest side of the similar triangle is

Answers

Answer:

The longest length of the similar triangle is 7 inches

Step-by-step explanation:

If two triangles are similar, the ratio of their sides are equal

We shall be working the shortest and longest side of both

What we have here will be that;

The shortest length/ the longest length ratio in both triangles will be the same

Let the longest side of the similar triangle be x

8/14 = 4/x

8x = 4 * 14

x = (4 * 14)/8

x = 7 inches

help me someone:((!!!!!

a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?​

Answers

Answer:

Hope this helps!

Step-by-step explanation:

2L + 3S = 83

 

4L + 8S = 197

 

Multiplies the top equation by -2.

-4L + -6S = -166

 

4l  + 8S = 197

 

 

Adding them together...

 

2S = 31

 

S = 31/2 = 15.5

 

Plugging into the first equation:

 

 2L + 3S = 83

 

 2L + 3(15.5) = 83

 

2L + 46.5 = 83

 

2L = 83 - 46.5

 

2L = 36.5

 

L = 36.5/2 = 18.25

 

check:

 

2L + 3S = 2(18.25) + 3(15.5) = 36.5 + 46.5 = 83

 

4L + 8S = 4(18.25) + 8(15.5) = 73 + 124 = 197

 

The Large box weighs 18.25

The small box weighs 15.5

Identify the correct Triangle Congruence Theorem that describes the figure below.



A. SSS
B. SAS
C. AAS
D. HL
E. ASA

Answers

[tex]\tt{PQ=TS }[/tex]

[tex]\tt{ PW=TW }[/tex]

[tex]\tt{ QW=SW }[/tex]

SO,

it is S-S-S

side-side-side

Solve the system by using substitution show work

2x - y = 5
x = y-1

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( 6 , 7 ) ( 6 , 7 )
Equation Form:
x = 6, y = 7

o figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?

Answers

Answer:

40

her age was 36 she added 4nwhich made 40 then doubles makesn80

9514 1404 393

Answer:

  76

Step-by-step explanation:

For age 'a', the special number was supposed to be ...

  2a +4

Tammi's mother actually calculated it as ...

  2(a +4) = 2a +8

a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.

The special number was supposed to be 80 -4 = 76.

The areas of similar triangles ΔABC and ΔDEF are equal. If the longest side of ΔDEF measures 25 units, what is the length of the longest side of ΔABC?

A.
5 units

B.
25 units

C.
75 units

D.
50 units

Answers

Answer:

It is 25 units

Step-by-step explanation:

The triangles are equal

Answer:

25 Units.

Step-by-step explanation:

The Triangles are equal and have the same area. Therefore, the longest side of ΔDEF and ΔABC will measure the same.

Hudson needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 3.25 hours and charged him $71 for parts. The total was $282.25. What was the cost of labor, per hour?

Answers

Answer:

$65/hr

Step-by-step explanation:

282.25 - 71 = 211.25

211.25 / 3.25

Please help, I don’t know how to solve this

Answers

Answer:

f(-2), where f= -43/2

f(-1), where f= -16

f(0), where f has no solution

f(1), where f= 10

f(2), where f= 31/2

please help me . i will help you whenever you want

Answers

Answer:

6.7cm

Step-by-step explanation:

We apply Pythagoras Theorem twice.

First we find out the diagonal of the base of the cuboid.

The diagonal of the base = sqrt (2^2+4^2) = sqrt (20).

Then we find out AB by applying Pythagoras Theorem.

AB^2 = 5^2 + [sqrt (20)]^2

AB^2 = 45

AB = 6.7cm (correct to 1 decimal place)

the question is:

Jeremy is taking a non- calculator quiz in his algebra 1 class. He decided that the equation below had a value of 1.5. Jeremy has the correct value. EXPLAIN how he found this without the use of his calculator.

the equation: 2^-1+5^0

Answers

Answer:

That's very simple 2^–1 is equal to 1/2 and 5^0 is equal to 1. Then add this two. 1/2+1 is equal to 1.5.

plz rate me brainiest

Find the value of x.
30
30

Answers

Answer:

30

.......................

why wont it let me say anything

Answers

Answer:

409

Step-by-step explanation:

786 + 32 = 818

818 ÷ 2 = 409

Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos costs $50 each. Suppose the photographer takes 11 aerial photos. What is the maximum number of wide-angle photos that Paula can afford?

Answers

Answer:

4

Step-by-step explanation:

because 25×11= 275 and 500-275 =225

50x4=200

225-200=25 you can buy 4 and 25$ is left over

Complete the equation of the line through (1,4) (2,2)

Answers

The slope- intercept form of the equation of a line is : y = mx + b

The slope is represented by m and the y-intercept is represented by b.

You can use the coordinates of the two points to find the slope:

m = (y 2 - y 1)

 (x 2 - x 1)

For this problem:

m =   (4 - 2 ) =   2  

(1 - 2)     -1

To determine the y-intercept , substitute the coordinates of either point into the slope-intercept equation using a slope of -2:

y = mx + b

y = -2 • x + b

Using (1,4):

4 = -2 • 1 + b

4 = -2 + b

b = 6

The equation of the line will be :  y = -2•x + 6

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1

Answers

Answer:

y = 3

Explanation:

Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.

We need to find a line that is perpendicular to it - and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.

We know that the line has to pass through (2,3). Therefore, take the y-value of that point - which is 3 - giving us y = 3.

Answer:

w

Step-by-step explanation:

w

What's the square root of 689976??? Please help

Answers

the square root of 689976

= 222 (square root symbol) 14

decimal form:

830.64793986 . . .

PLEASEE HELP!!! LOTS OF POINTS ARE ON THE LINE
Which point is located in Quadrant II?

A coordinate plane.
(–4, 5)
(–4, –5)
(4, –5)
(4, 5)

Answers

Answer:

(-4,5) is located on the 2nd quadrant

Answer:

(-4, 5)

Step-by-step explanation:

Quadrant II is at the top left. So, point (-4, 5) is located in Quadrant II.

Calculator
The graph of a proportional relationship contains the point (-12, 3)
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y =
Tor

Answers

Answer:

[tex]\displaystyle y=-\frac{1}{4}\ x[/tex]

Step-by-step explanation:

Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

y = kx

Where k is the constant of proportionality.

The value of k can be calculated if we know a point (x,y) that belongs to the graph. Substituting the point (-12,3):

3 = -12k

Solving for k:

[tex]k=-\frac{3}{12}=-\frac{1}{4}[/tex]

Thus, the corresponding equation is:

[tex]\boxed{\displaystyle y=-\frac{1}{4}\ x}[/tex]

please help me! here’s a picture

Answers

Answer:

I would think the answer is 28?

im not really that sure

please help mee please

Answers

Answer:

57 degrees

Step-by-step explanation:

180-66 = 114

114/2 = 57

57 degrees
Hope this helps!!!!

What is the slope of the line that passes through (4, 12) and (5, 16)?

Answers

The slope is 4/1 aka 4!

Answer:

8/10

Step-by-step explanation:

The rise on the y axis is eight and the run on the x axis is 10

(Hope this helped)

Can someone help me out?

Answers

Answer:

do I solve it or what am I supposed to do

Answer:

y=6

Step-by-step explanation:

Tammy's allowance is $5.00. She did extra chores around the house and earned an
extra $1.75. She goes to the store with her older sister and buys an ice cream for
$2.25. On her way home she finds $1.00. How much money does Tammy have?

Answers

Answer:

5.50 this should help :p

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