Answers
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
why wont it let me say anything
Answers
Answer:
409
Step-by-step explanation:
786 + 32 = 818
818 ÷ 2 = 409
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
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
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
Reduce to simplest form.
-7/12 +3/8
Answers
Answer:
-5/24
Step-by-step explanation:
here u gooo :).....
Find the value of x.
30
30
Answers
Answer:
30
.......................
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:
Answer ASAP this practice is due tomorrow
Answers
Answer:
i think it's Z = 8,4
I'm not sure
What is the slope of the line that passes through (4, 12) and (5, 16)?
Answers
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)
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
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
Combine as indicated by the signs. 2x/y2-x2 - x/y-x
Answers
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)
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
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
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
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
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
Solve the system by using substitution show work
2x - y = 5
x = y-1
Answers
Point Form:
( 6 , 7 ) ( 6 , 7 )
Equation Form:
x = 6, y = 7
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.
please help me! here’s a picture
Answers
Answer:
I would think the answer is 28?
im not really that sure
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).
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
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]
What's the square root of 689976??? Please help
Answers
= 222 (square root symbol) 14
decimal form:
830.64793986 . . .
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.
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:
please help mee please
Answers
Answer:
57 degrees
Step-by-step explanation:
180-66 = 114
114/2 = 57
Hope this helps!!!!
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)