Answer:
Measure of angle A = 120°
Measure of angle B = 98°
Measure of angle C = 104°
Measure of angle D = 140°
Step-by-step explanation:
Find measure angle A :-Since the two straight lines are parallel
, then A + 12X =180° (alternate angles)
, then A = 180° - 12X
Since the two straight lines are parallel
, then measure angle A = measure angle (25X-5)°
(opposite angles)
, then 180° - 12X = 25X - 5° (solve it like a normal equation)
, then 180° + 5° = 25X + 12X
, then 185° = 37X
, then X = 185° ÷ 37
= 5
, then measure of angle A = 180° - ( 12 x 5 )
= 180° - 60°
, then measure angle A = 120°
Find measure angle B :-Since the two straight lines are parallel
, then measure angle B = measure angle 14X (corresponding angles)
, then 15X - 7 = 14X
, then 15X - 14X = 7
, then X = 7
Since X =7
, then measure angle B = (15 x 7) - 7
= 105° - 7
, then measure angle B = 98°
Find measure angle C :-Since the two straight lines are parallel
, then measure angle C = 8X
(opposite angles)
, then 5X + 39 = 8X
, 39 = 8X - 5X
, 39 = 3X
, then X = 39 ÷ 3
, X = 13
Since X = 13
, then measure angle C = (5 x 13) +39
= 65 + 39
, then measure angle C = 104°
Find measure angle D :-Since straight that angle D lies on = 180°
, then sum of measure of and D and 4X =
180°
, then (12X + 20) + 4X = 180°
, then 16X + 20 = 180°
, then 16X = 160° (resulting from 180° - 20°)
, then X = 10
Since X = 10
, then 12 x 10 + 20 = 120 + 20
,the measure angle D = 140°
why is 25/25 larger than 25/38
Answer:
Cause 25/25 is a whole number and 25/38 is not
Step-by-step explanation:
Find the measure of the exterior angle.
(5x+2)
6x
90
y = 138
Step-by-step explanation:
6x + 5x +2 = 90°
11x = 90 - 2
11x = 88
x = 8
5x + 2 + y = 180
5(8) + 2 + y = 180
40 + 2 + y =180
42 + y = 180
180 - 42 = y
y = 138
The price of a watch was $115 when it was launched last year. When a new version of the watch was released this year, the price of the earlier version of the watch decreased by 15%. Find the price of the earlier version of the watch this year.
Answer:
$97.75
Step-by-step explanation:
115 times 0.85
Dan Dayle started a business by issuing an $85,000 face-value note to First State Bank on January 1, Year 1. The note had an 7 percent annual rate of interest and a five-year term. Payments of $20,731 are to be made each December 31 for five years. What is the principal balance on January 1, Year 2?
Baker leaves his house and drives 10 miles north then 24 miles west to Tellus Science Museum. If
Baker could drive in a straight line from his house to the museum, how many miles would he save?
How many miles is the normal route?
How many miles is the straight line?
How many miles would Baker save? (Hint: subtract the two.)
Answer:
34
26
8
Step-by-step explanation:
what is 0.08 as a percent.
Answer:
8%
Step-by-step explanation:
u have to multiply the number with 100
0.08 * 100
8%
ABCD is a parallelogram.Find angle CBD.
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Answer:
81°
Step-by-step explanation:
Opposite angles of a parallelogram are congruent. The sum of the two angles at B is the same as the value marked at D.
∠CBD = 139° -58° = 81°
_____
Additional comment
The angles at A and C are both 41°, the supplement of the one marked 139°.
According to Allyson's half marathon training
schedule, she needs to run at least 23 miles this
week. So far, she ran 19 miles this week. Write an
inequality to describe the situation
Answer: 19 + r = 23
Step-by-step explanation:
r = 4
19 + 4 = 23
This morning, the owner of Sam's Spaghetti House withdrew $180 from the restaurant's bank account to pay for an oven repair. This afternoon, he deposited $430 from lunch sales.
What is the total change in the restaurant's bank account relative to where it started?
Answer:
he had $250.00 more at the end of lunch
Step-by-step explanation:
What is the slope of the line that passes through the points (-5,-7) and (4,-1)? Write your answer is simplest form
Answer:
2/3
Step-by-step explanation:
-7 - -1 = -6
-5 - 4 = -9
-6/-9= 2/3
Hope this helped!
Answer:
2/3
Step-by-step explanation:
-1-(-7) / 4-(-5)
6/9 = 2/3
find the inverse of -3y+5x=18
Answer:
-3x +5y = 18
Step-by-step explanation:
The inverse relation is found by swapping x and y.
Find 40% of 60 please help i am really struggling!!!
Answer:
24 is the answer
Step-by-step explanation:
The first thing you would do is to convert from percent to decimal, divide the percent without the percent symbol by 100.Thus, 40%=40100=0.4. 40% 60 is just 0.4⋅60=2440% of 60
40/100x60
=0.4x60
=24
help please. thank you very much
Answer: Offer B because it will cost less.
Step-by-step explanation: Hope this helps :)
evaluate 102 what is the answer
Answer:
10404
Step-by-step explanation:
Maria is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
59, 61, 83, 67, 81, 80, 81
Find the range of the data set.
Calculaţi c.m.m.d.c. și c.m.m.m.c. al numerelor: 18; 120; 30; 450.
anser is
Step-by-step explanation:
618 is the answer
find the quotient of [tex]\frac{(x^{3} - 2x^{2} + 6x + 3)}{ (x - 3)}[/tex] using long division
Use approximations to 1 significant figure , check that your answer to part A ) makes sense
5/12+(-3/4) what is the answer
Answer:
-1/3
Step-by-step explanation:
Answer:
-1/3
Step-by-step explanation:
5/12+(-9/12)
5/12 - 9/12 = -4/12
-4/12 = -1/3
please help me!!! I'll give you 40 points.
construct the bisector of the following figures
Answer:
divide the given line into halves
What is the slope of the line that passes through the points (8, 4) and (20, –4)?
Write
your answer in simplest form.
Answer:
formula is y2-y1 ÷ x2-x1
- 4 - 4 = -8
20 - 8 = 12 simplify and we get
[tex] - \frac{ 2}{3} [/tex]
Answer: [tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
-4-4=-8
20-8=12 [tex]\frac{-8}{12}[/tex]
What is 21 divided by 654
Answer:
Well your saying division but it looks like square root when you make the sharp edge there but I will answer the division one
so 21 goes into 65 3 times maximum
so 21*3 is 63
so we subtract 63 and put a 3 on top
so eventually you’d get 31.142857 (never ending decimal)
So you can convert into a fraction, at this rate I’d just put it in a calcualtor and it‘ll do it for you
so 31 1/7 is the final answer
2. A scuba diver dove 48 feet in 4 minutes.
What integer represents his change in depth
for each minute?
A. 52 feet per minute
B. 44 feet per minute
C. -12 feet
per
minute
D. -48 feet per minute
Answer:
C. -12 feet per minute
Step-by-step explanation:
This question is really just asking for the slope of this situation. So the best way to find the answer is to find the change in y over the change in x. In this case, y is the depth and x is the time. So, it would be -48/4 because the diver went down 48 feet when 4 minutes passed. Then, simply divide, -48/4, which equals -12 feet/1 minute.
*HIGH SCHOOL* please help me with this
Answer:
Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.
It is given that <T=<Y and <V+<U=180 degrees
<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.
<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.
<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).
<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).
hello! someone please answer this. this is due tomorrow, Monday and I don't get any of it. ty!
simplify i^29 GIVE ME ANSER
Answer:
Simplify the expression using the definition of an imaginary number
i=√-i
iStep-by-step explanation:
Need Done ASAP Please Help will give brainliest
How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?
A. g(x) is shifted 3 units to the right and 1 unit up.
B. g(x) is shifted 3 units to the right and 1 unit down.
C. g(x) is shifted 3 units to the right and reflected over the x-axis.
D. g(x) is shifted 3 units to the left and reflected over the x-axis.
The difference between the functions f(x) and g(x) is the addition of a
constant to the value of x and changing
the sign of the output.
The graph of g(x) compared to f(x) is g(x) is shifted 3 units to the left and
reflected over the x-axis.
Reason:
The addition of a positive constant term to the input variable of a function,
shifts the graph to the left of the graph of
the parent function.
Please find attached the image of the graph of f(x), which is g(x) shifted to
the left by 3 units.
Step-by-step explanation:
Changing the sign of the output value from positive to negative;
When the output value of a function is changed from positive to negative,
and vice versa, it is equivalent to a reflection across the x-axis.
Therefore, the function g(x) is a reflection across the x-axis.
Therefore;
g(x) is shifted 3 units to the left and
reflected over the x-axis.
evaluate 8(b divided by 2) - (c+4) when b = 1/2 and c = 1/4
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{8(\dfrac{1}{2}\div2)- (\dfrac{1}{4} + 4)}}\\\\\\\huge\boxed{\mathsf{= 8(\dfrac{1}{4}) - (\dfrac{1}{4}+ 4)}}\\\\\\\huge\boxed{\mathsf{= 2 - (\dfrac{1}{4}+4)}}\\\\\\\huge\boxed{\mathsf{= 2 - \dfrac{17}{4}}}\\\\\\\huge\boxed{= \mathsf{ - \dfrac{9}{4}}}\\\\\\\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{- \dfrac{9}{4}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\star \ \frak{Amphitrite1040:)}\ \heartsuit }[/tex]
What is the value of x?
Enter your answer in the box.
units
Answer:
x = 27
Step-by-step explanation:
similar triangles
26/18 = 39/x
x = 39(18/26)
x = 27
could also use
39/x = (39 + 26) / (x + 18)
to get to the same result
39(x + 18) = x(39 + 26)
39x + 702 = 39x + 26x
702 = 26x
x = 27
or
18/x = 26/39
x = 18(39/26)
x = 27
A right triangle has side lengths 7, 24, and 25 as shown below.
Use these lengths to find tanA, sinA, and cosA.
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Answer:
tan(A) = 7/24sin(A) = 7/25cos(A) = 24/25Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the trig ratios:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...
tan(A) = 7/24
sin(A) = 7/25
cos(A) = 24/25