Answer:
m<3 = 108
Step-by-step explanation:
Since <1 and <2 are supplementary, the equation is:
<1 + <2 = 180
Since <1 and <3 are vertical angles. the equation is:
<1 = <3
To find m<3:
<2 + <3 = 180
72 + <3 = 180
<3 = 180 - 72
<3 = 108
The measure of angle ∠3 is 108 degrees.
What is supplementary angle?Supplementary angles are those angles that sum up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees.
What is vertical angle?Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.
For the given situation,
∠1 and ∠2 are supplementary angles.
∠1 and ∠3 are vertical angles.
Measure of angle, m ∠2 = 72
From definition, we know that
∠1 + ∠2 = 180 (supplementary angles) ------- (1)
and
∠1 = ∠3 (vertical angles) --------- (2)
From (1) and (2),
⇒ [tex]\angle3 + \angle2 = 180[/tex]
⇒ [tex]\angle3=180-72[/tex]
⇒ [tex]\angle3=108[/tex]
Hence we can conclude that the measure of angle ∠3 is 108 degrees.
Learn more about measurement of angles here
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a triangle has a side length of 5.4 and 7 x x=
Answer:
D. 8.8
Step-by-step explanation:
As the pythagorean theorem.
A² + B² = C²,
5.4 × 5.4 + 7 × 7 = C²,
29.16 + 49 = C²,
78.16 = C²,
8.8 ≈ C
select two ratios equivalent to 27 : 9
Answer: 3/1 and 9/3
Step-by-step explanation:
This is just the first pic of the problem I’m posting the second one right after this
Answer:
A. rise = 4, run = 1, slope = 4
B. rise = 8, run = 2, slope = 4
C. A (Yes, they are equal because similar)
Step-by-step explanation:
i hope this is right
Quadrilaterals A and B are similar.
Find the values of the sides marked
x
,
y
:
Answer:
x = 17.5
y = 5
Step-by-step explanation:
Similar means that corresponding angles (same colors in this case) are the same. Rotate the 2nd figure on the right in your mind until the angle label colors fit the 1st figure, just so you can tell what's what. Then you can create ratios with corresponding sides that include only one of the unknowns. So 1st we use
x/7 = 15/6
x = 15/6 * 7
x = 17.5
and
y/12.5 = 6/15
y = 6/15 * 12.5
y = 5
What is the nearest ten for the point shown on the number line below?
Answer:
the fourth
Step-by-step explanation:
please i’m trying to help my gf work i’m in 8th i’ll give you brainliest
Take a better pic and i will explain in comment
Answer:
here is ur answer.....
hope it helped u and ur gf......
HELP
question and diagram is circled in picture
Arc PR = ___ degrees
HELP ASAP
Find an expression which represents the sum of (6x - y) and (7x - 7y) in simplest terms.
Answer:
6x-y+7x-7y
6x+7x-y-7y
13x-8y.
find the surface area of a rectangular prism with dimensions 5 ft 6 ft 7 ft
Answer: 214 sq ft
Step-by-step explanation:
A=2(wl+hl+hw)=2·(6·5+7·5+7·6)=214
Answer:
214 ft
Step-by-step explanation:
hope this helps
I need help with circle similarity / scale factor. can someone please help me out?
Answer:
A scale factor exists because any two circles are similar. You can use the radii to determine the scale factor.
Step-by-step explanation:
The ratio between the radii is 31 so the scale factor is 31=3. The circumference of the smaller circle is C=2π(1)=2π.
Which of the following Metric prefixes is largest?
O A. kilo
O B. mega
O c. deci
O D. giga
Answer:
mega cause it is bigger than giga which is bigger than kilo
Customer- I recently saw an advertisement that said your company would give 5% discount to anyone who enrolls in your automatic payment plan, my monthly bill is $75 how much will I save if I enroll?
Answer: $3.75
Step-by-step explanation:
The amount that you would save is 5% of your monthly bill of $75.
This amount is:
= 75 * 5%
= $3.75
The total amount that you would pay is:
= 75 - 3.75
= $71.25
If the discriminant of an equation is positive, which of the following is true of the equation
A it has one complex solution
B it has one real solution
C it had two real solutions
D it has two complex solutions
Answer:
C it has two real solutions
Step-by-step explanation:
If the discriminant of a quadratic equation is positive, it means that the graph intersects the x-axis, and hence produces two real solutions.
If the discriminant is zero, then the graph is tangential to the x-axis, and there will be two real coincident solutions.
If the discriminant is negative, then there are two complex solutions.
Answer:
C
Step-by-step explanation:
Andrea uses 9.8 pints of white paint and blue paint to paint her bedroom walls. 1 4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
7.35
Step-by-step explanation:
Andrea uses 9.8 pints of white and blue paints to paint her bedroom walls
1/4 of this amount is white paint
= 1/4 × 9.8
= 0.25×9.8
= 2.45
Therefore the amount of blue paint can be calculated as follows
9.8-2.45
= 7.35
Hence 7.35 are blue paint
Find the measure of the indicated angle to the nearest degree.
37
20
Answer:
the angle is a sin angle
so sin=opposite
adjacent
sin=20/37
sin=0.3420/0.6018
the answer is 0.5683
Part A: Mike wants to join a gym. He has to pay an initiation fee of $16 and equal monthly payments for the year. The most he wants to pay is $580 for the year for his gym membership. a.) Write an inequality that you can use to determine the most he would want to spend for his monthly payments.
Part B: Now use your inequality from 15a to determine how much Mike’s monthly gym payment can be if the most he wants to pay is $580 for the year for his gym membership..
Answer:
Part A: [tex]12x+16\leq 580[/tex]
Part B: $47 per month
Step-by-step explanation:
Part A: 12 months in a year. Pays x amount of $ per year, with an additional $16 initiation fee. He wants to spend less than $580 total a year. Thus, [tex]12x+16\leq 580[/tex].
Part B: Solve the inequality for x.
$580 - $16 = $564
x = $564/12 = $47
Hope this helps! :)
In which choice is
not a function of x?
A(2, -3), (-2, 3), (3,-2), (3, 2)
B. (2, 3), (3, 4), (-4, 5), (-5, 6)
c. (3,-2), (3, 2), (3, 3), (2, 2)
D. (1, 1), (1, 2), (2, 3), (3, 4)
Please solve 6 - 3x = 14
Answer:
Step-by-step explanation:
Answer:
X= -8/3
Step-by-step explanation:
guys help me please
Answer:
what's the question?............
Can anyone pls help me with this, I don't even know where to start? I can also give Brainliest
Answer:
x = 50°
Step-by-step explanation:
The triangle has 3 congruent sides and is therefore equilateral.
The 3 angles are then congruent, each 60°
The left angle in the quadrilateral is adjacent to 60° of the triangle
180° - 60° = 120° ← angle inside quadrilateral
The sum of the interior angles of a quadrilateral = 360°
Subtract the sum of the angles from 360° for x
x = 360° - (120 + 90 + 100)° = 360° - 310° = 50°
help me answer the last question
could somebody answer both?
1. Our new computer is 3 times faster than our old one. How fast is the new computer?
2.A geology kit costs $85. Sophia has $25 and plans to save $5 a week until she can pay for the kit. How many weeks will it take before she can buy the geology kit?
Answer:
1. 3x faster
2. 12 weeks
Step-by-step explanation:
(85-25)/5=12
What does 2x+1-3=0 means
Answer:
it means that 2x+1-3 will equal to 0
Step-by-step explanation:
your on a app for answers
The two triangles are congruent. Find the unknown variables.
Answer:
Z=18
Y=110
X=27
Step-by-step explanation:
since they are congruent, the corresponding sides are the same
PLEASE HELP WILL GIVE BRAINLIEST!!!!!
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 9kg weighs 63 N . Find the weight of an object whose mass is 5kg.
Answer:
35
Step-by-step explanation:
9Kg =63N
5Kg=X (Cross Multiple)
=X×9 =5×63
divide both sides by 9
X=5×63
---------
9
=35
Answer:
35 N
Step-by-step explanation:
let w = weight of object
and m = mass of object
w = mk where k is the constant of proportion
63 = 9k
k = 7
So, w = 7m
w = 7(5) = 35 N
please helppp
Solve with ratio sin(30) to solve the missing side length x. Round to the nearest tenth
Answer:
we have
sin30=perpendicular/hypotenuse
1/2=x/10
x=½×10=5
x=5
is your answer
In Oo, mCA= 100 and ABCD.
What is mBD?
mBD
Answer:
arc BD = 100
Step-by-step explanation:
arc BD = arc CA because ∠AOC = ∠BOD (vertical angles)
arc BD = 100
1 ÷ 1/4 what does that equal
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Find f(-5) if f(x) = x+ 11.
06
05
04
Trey bought 3 and 3 fourths pounds of apples from the grocery store. Corinne bought 1 and 1 third pounds of grapes from the grocery store. How many more pounds of fruit did Trey buy
Answer: 2 5/12
Step-by-step explanation:
Trey bought 3¾ pounds of apples from the grocery store. Corinne bought 1⅓ pounds of grapes from the grocery store.
To know how many more pounds of fruit that Trey bought, we have to find the difference between the value given above and this will be:
= 3¾ - 1⅓
= 3 9/12 - 1 4/12
= 2 5/12
Trey bought 2 5/12 pounds more.