The measure of <Y is 38.
What is Angle Sum Property?According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180, regardless of whether it is acute, obtuse, or right.
One of the most commonly applied properties in geometry is the triangle's angle sum property.
Given:
m∠X = 47°, m∠Y = (2x − 18)°, and m∠Z = (5x − 45)°.
Using angle sum property
m<X + m<Y + m<Z = 180
47 + 2x- 18 + 5x - 45= 180
7x -16=180
7x= 180+16
7x= 196
x= 196/7
x= 28
So, the measure of <Y = 2x- 18 = 2(28) - 18 = 56-18 = 38
Hence, the measure of <Y is 38.
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When multiplying the fractions StartFraction 1 Over 6 EndFraction and StartFraction 7 Over 8 EndFraction, what is the product of the numerators?
Answer:
7
Step-by-step explanation:
1/6 × 7/8
1×7=7
6×8=48
:)
BCD is a straight line.
Triangle ABC is equilateral.
CE=DE
Work out the size of angle x.
The size of angle x is 44°.
Each equilateral triangle angle is measured at 60°.
∠ACB = 60°.
If two triangle sides are congruent, then the angles opposite those sides are also congruent.
∠CDE = ∠DCE
According to Angle Sum Theorem: ∠CDE + ∠CED + ∠DCE = 180°.
Substitute ∠CDE = ∠DCE into ∠CDE + ∠CED + ∠DCE = 180°
∠DCE + 28° + ∠DCE = 180°
∠DCE = 76°
The Angle Addition Postulate and the notion of a straight angle:
∠ACB + ∠ACE + ∠DCE = 180°
Substitute ∠ACE = x, ∠ACB = 60, ∠DCE = 76 into ∠ACB + ∠ACE + ∠DCE = 180°
60° + x + 76° = 180°
x = 44°
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Can someone pls help
Answer:
b = 6
Step-by-step explanation:
steps are in the picture above
Answer:
b = 7
Step-by-step explanation:
using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex](-14)^{8}[/tex] × [tex](-14)^{b}[/tex] = [tex](-14)^{15}[/tex]
[tex](-14)^{(8+b)}[/tex] = [tex](-14)^{15}[/tex]
since the bases on both sides are equal, both - 14, then equate exponents
8 + b = 15 ( subtract 8 from both sides )
b = 7
If f (x) = x
2 − 2 x , g (x) = x − 2
1) prove that : f(2) = g(2)
2) If g (K) = 7 , find : the value of k
Answer:
A I had a test like this sorry if it's wrong
Step-by-step explanation:
say it out loud ask a parent if I need help at home
Determine whether the pair of figures is sounds. Explain your reasoning.
No the shapes are not similar because they are different sizes
Yes, there’s similar because they are both right tangles
Yes, there are similar because they have proportional sidelines an equal angle measures
No, they are not similar because we don’t know the measure of the angles
A circle, can be separated into at most seven parts by drawing 3 lines through it. What is the greatest number of parts into which 5 straight lines will divide a circle?
Firstly consider: How many parts a circle can be divided into using 3 straight lines? The answer is no more than seven. The conclusion is the lines cannot be straight. So one way is with a curved line and two straight lines
Estimate the value of each quotient. Drag each division problem to the correct category shown below. Do not find the actual quotient when solving this problem.
2
,
456
÷
12
526
÷
26
3
,
012
÷
42
6
,
960
÷
57
1
,
590
÷
35
Quotients between 10 and 100
Quotients between 100 and 1,000
helpppppppppppppp
Answer:
answer...loading...
All info is in the image.
Answer: It might be negative one.
Step-by-step explanation: Maybe. I'm learning this in my math class. So I still don't fully understand yet.
Three-fifths of the students in a room are girls. One-third of the girls have blond hair. One-half of the boys have brown hair. What fraction of all the students are boys without brown hair?
help be please whoever's right will get brainiest :")
Answer: the answer is a
Step-by-step explanation: wild geuse
PLEASE HEEEEELP And sorry all i have's 10 point's i'll brainly u tho
For triangle XYZ, m∠X = (7g + 12)° and the exterior angle to ∠X measures (2g + 60)°. Find the measure of ∠X and its exterior angle.
Interior angle = 49°; exterior angle = 131°
Interior angle = 131°; exterior angle = 49°
Interior angle = 96°; exterior angle = 84°
Interior angle = 84°; exterior angle = 96°
Step-by-step explanation:
the sum of the interior and the exterior angle must be 180°.
7g + 12 + 2g + 60 = 180
9g + 72 = 180
9g = 108
g = 12
interior angle = 7×12 + 12 = 96°
exterior angle = 2×12 + 60 = 84°
Which shows 1.69 × 107 in standard notation?
HURRY- ASAP
Answer:
16900000
Step-by-step explanation:
Answer:
16900000
Step-by-step explanation:
Write each number as a product using the GCF as a factor, and apply the Distributive Property. 63+ 49 +77
Answer:
189
Step-by-step explanation:
63
+
49
+
77
63+49 = 112 + 77 = 189
The diameter, in miles, of a large asteroid called Vesta can be found using the expression 5w^(2) - (4y^(2) - z^(3)) - 56. Evaluate this expression for w=9 ,y=25, and z=5.
Answer:
-8156
Step-by-step explanation:
5x9=45 x 45 = 2025 - 4x25=100x100=10000 - 125 -56
Find the values of the ratios (red to blue) if the perimeters and areas of the similar figures. Write the ratios as fractions in simplest form.
Red rhombus(11)
Blue rhombus(6)
The ratio of the perimeter is ____.
The radio of the area is ____.
Answer:
11/1 and 6/1
Step-by-step explanation:
I hope this helps
There is a of cubes. Stage I has 1 cube, Stage II has 4 cubes, and stage III has 10 cubes. How many cubes will there be in Stage IX?
There are 135 cubes will be there in stage IX.
What is cube?A cube is indeed a three-dimensional solid object in geometry that is surrounded by six square faces, facets, or sides, three of which meet at each vertex. One of the five Platonic solids, the cube seems to be the only regular hexahedron. It has 8 vertices, 6 faces, and 12 edges.
Given:
There is a of cubes.
Stage I has 1 cube, stage II has 4 cubes and stage III has 10 cubes.
So, we add 3, 6, 9 that means multiple of cubes in each stage.
So, the fourth stage has 10 + 9 = 19 cubes.
Stage IV has 19 + 12 = 31 cubes.
Stage V has 31 + 15 = 46 cubes.
Stage VI has 46 + 18 = 64 cubes.
Stage VII has 64 + 21 = 85 cubes.
Stage VIII has 85 + 24 = 109 cubes.
Stage IX has 109 + 27 = 136 cubes.
Therefore, there are 136 cubes will be there in Stage IX.
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Ian has 120 folders to file. So far, he has filed 36 of the folders. What percent of the folders does he have left to file?
help pls pls pls pls pls i will give brainlliest
Answer:
70%
Step-by-step explanation:
A pilot is flying an airplane at an average altitude of 32,000 feet above the ground. Due to strong winds, the pilot decides to fly 4,000 feet lower to avoid excessive turbulence. It takes the pilot 3.5 minutes to make this adjustment. Interpret the quotient to describe the rate of change in the plane’s altitude. Give your answer to the nearest hundredth.
The quotient that best represents the rate of change in the plane’s altitude is___feet/minute.
Answer:
The plane altitude is 65 feet.
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Look at the desert image.
Seventh grade
S.6 Solve one-step equations
Solve for u.
u + 32 = 812
u =
Answer: 780
Step-by-step explanation:
812-32=780
so u = 780
Select and solve the inequality
Ryan is a wrestler trying to make weight. He currently weighs 200 lbs. If he cuts 2 lbs. per week, how many full weeks will it take him to weigh less than 175 lbs.? Choose an inequality below and solve it.
2w+175 <200 -2w+ 200 < 175
-2w+ 200 175 -2w+ 200 > 175
a.) 13 weeks b.) 12 weeks c.) 14 weeks d.) 10 weeks
Answer:
Step-by-step explanation:
The correct option is C More than 12.5 Weeks Let x be the number of weeks, then 200 − 2 x < 175 ⇒ 2 x > 200 − 175 ⇒ 2 x > 25 ⇒ x > 12.5 So, More than 12.5 Weeks is the answer.
ANSWER 12
Answer:
Step-by-step explanation:
A.13w, 13 weeks will get him down to 174lbs, 12 weeks would only get him 176lbs, so the minimum/full amount of weeks he needs to get down to less than 175lbs is 13.
Equation:
w=2
13w=26
200-26=174.
help me please :((( :)))
Answer:
YZ=14
Step-by-step explanation:
[tex]\frac{12}{56} = \frac{3}{x} \\\\12x=56*3\\12x=168\\x=168/12 \\x=14[/tex]
Which weather condition is most likely to occur in areas receiving little solar energy?
A.
evaporation
B.
fog
C.
snow
D.
rain
The answer is C
Snow is the correct answer
Please help asap!! Thanks ♡♡
Hey there!
3/5
3 ÷ 5
= 0.60
0.60 × 100
= 60%
Therefore, your answer should be:
60%
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The price of a DVD is $19 . This price is 12% lower than last week.
What was the price of the DVD last week?
Round your answer to the nearest cent
Please help
Answer:21.28
Step-by-step explanation:
Which arrangement shows the integers in order from least to greatest?
A. −4, 6 , −3 , 8
B. −7, −3 , 4 , 8
C. 5 , −8 , 4 , −3
D. −5 , 3 , 7 , −3
Write an equation that reflects this relationship using to represent the amount of fish in grams and to represent the number of calories.
Answer:
y=3/4x
Step-by-step explanation:
If the line goes over by 30 and up by 40, it is 40y=30x, and simplified and in slope-intercept form, it is y=3/4x
I need help ASAP!! PLEASE
Answer: -x+5
Explanation:
The file I shared is self-explanatory enough.
A baseball used by a professional baseball team must have a diameter that is between 2.86 inches and 2.9 inches. which of the following could be the diameter of a baseball used by a professional baseball team?
A. 2 7/8 inches
B. 2 7/9 inches
C.2 8/10 inches
D.2 9/11 inches
AD, BE, and CF are all diameters of the circle. The measure of angle AOB is 40 degrees. The measure of angle DOF is 120 degrees.
Find the measures of the angles:
BOC :
COD :
(Image is attached)