Select the correct answer. In the given figure, m = 118°, m = 76°, and m∠BAC = 35°. Which statement is true? Figure not drawn to scale A. The measure of is 48°, and triangle BCD is isosceles. B. The measure of is 83°, and triangle BCD is isosceles. C. The measure of is 48°, and triangle BCD is not isosceles. D. The measure of is 83°, and triangle BCD is not isosceles.
Answers
Answer:
A
Step-by-step explanation:
The measure of the angle is 48 degrees and the triangle BCD is isosceles.
What is a Circle?
A circle is a round-shaped figure with all the points on one plane, the distance between the center and all the points on the circumference is the same.
Thre arc mBC inscribes angle BDC
According to the theorem, the angle made by the arc on the center is double that made at the circumference.
mBDC = (1/2) * mBC
mBDC = (1/2) * 118 = 59°
It is also known from the secant theorem that, the angle made by the two secants is equal to half of the angle inscribing the arc.
mA = (1/2) * (mBC - mDE)
35 = (1/2) * (118 - mDE)
70 = 118 - mDE
The measure of DE = 48°
The sum of all the arcs in a circle is 360°
So,
mBC + mCD + mDE + mBE = 360
mCD = 360 - 118 - 48 - 76 = 118°
The angle CBD is inscribed by the arc mCD
mCBD = (1/2) * mCD = (1/2) * 118 = 59°
The angles CBD and BDC are equal, so the triangle is isosceles.
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Related Questions
Which problem can be solved by division of decimals?
Answers
Answer:
D.Mica spent $45.50 on 7 wiffle ball sets. How much does it cost for one set?
Step-by-step explanation:
A.Cost of 1 gallon=3.79
Cost of 10.3 gallon=[tex]3.79\times 10.3=39.037[/tex]
It can not be solved b y division of decimals.
B.Let x be grade got by Maria in her next test.
Grades obtained by Marian in her 4 previous test are given by
75.3,92.1,78.6 and 81.0
According to question
[tex]75.3+92.1+78.6+81.0\geq 400[/tex]
[tex]327+x\geq 400[/tex]
[tex]x\geq 400-327[/tex]
[tex]x\geq 73[/tex]
It can not be solved b y division of decimals.
C.Helena saved money=$45
Cost of dress=$78.00
78-45=33
She needs to save $33 more.
It can not be solved b y division of decimals.
D.Cost of 7 wiffle ball sets=$45.50
Cost of 1 ball set=[tex]\fra{45.50}{7}=[/tex]$6.5
It can be solved b y division of decimals.
Option D is true.
D.Mica spent $45.50 on 7 wiffle ball sets. How much does it cost for one set?
Answer:
the answer is d
Step-by-step explanation:
Help me find these angles ASAP
Answers
Answer:
49°
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
let x be the other exterior angle then sum and equate to 360
37 + 84 + 49 + 38 + 35 + 68 + x = 360
311 + x = 360 ( subtract 311 from both sides )
x = 49
The other exterior angle = 49°
Helpppppppppppppp ASAP helppp
Answers
Answer:
You can use a calculator to find all the tan, sin, cos values! Simply enter the number, for example, 52, then press the tan button! For question d, you are finding what number that decimal is the tangent of. Press the 2nd function on your calculator, and you can see that -1 beside the tan. Enter the decimal then use that button to find the reverse tangent.
tan52 = 1.2799
sin19 = 0.3256
cos34 = 0.8290
tan-1(0.9876) = 44.6426
To solve the conveyor belt problem, you'll have to use the sine of 15. (remember, sine = opposite/hypotenuse). Set up an equation:
sin15 = ?/12m
Use a calculator to find sin15, then you can solve it like algebra.
sin15 = ?/12m
sin15*12m = ?
0.2588*12m = ?
3.1056m = ?
Hope this helped :)
log base3 27= 3 write in exponential form pls
Answers
Answer: 3^3 = 27
Step-by-step explanation:
The formula is:
[tex]log_{3} 27=3[/tex] is just [tex]a^c=b\\a=logbase\\b=number\\c=answer\\\\3^3=27[/tex]
Answer:
[tex] {3}^{3} = 27 \\ [/tex]
Step-by-step explanation:
[tex] log_{a}(c) = b[/tex]
[tex] log_{3}(27) = 3[/tex]
so,
[tex] {3}^{3} = 27[/tex]
hope this helps you
brainliest appreciated
good luck! have a nice day!
532−308532, minus, 308 is the same as
- ~ 300− 300minus, space, 300.
Answers
532-308 is the same as 524-300
What is a scale factor?
Answers
Answer:
A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x.
:)
Step-by-step explanation:
Answer:ascale factor is used in instructing some one on what is to be done in adrawn diagram in a graph e.g
Enlargement
Step-by-step explanation:I hope it gelps
PLS ANSWER!!!!! ILL GIVE BRAINLIEST!!!
If the function m(x) has the point (1, 9) on its graph name a point that would be on the function 17n(x) + 2.
Answers
Answer: if we want to find a point of 17*m(x) + 2, one is (1, 155)
Step-by-step explanation:
I guess you want to know a point in the function
h(x) = 17*m(x) + 2
we know that m(1) = 9 (because m(x) has the point (1, 9) in it's graph)
then h(1) = 17*m(1) + 2 = 17*9 + 2 = 155
so this function has the point (1, 155)
Dan rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 3.
Answers
Answer: 2
Step-by-step explanation:
1+2, 2+1
Therefore, the probability of getting a total of three is 2
Probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .
What is probability?" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability [tex]= \frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Dan rolls two fair dice,
Possible outcomes are [tex]= \{ (1,1), (1,2), (1,3) , (1,4). .........., ( 6,5), (6,6)\}[/tex]
Total number of outcomes [tex]= 36[/tex]
Condition given,
Favourable outcomes for total of [tex]3[/tex] [tex]= \{(1,2) , (2,1)\}[/tex]
Substitute the value in the formula of probability we get,
Probability of getting [tex]3[/tex]
[tex]= \frac{2}{36}\\\\= \frac{1}{18}[/tex]
Hence, probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .
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plz help me solve
The locus of a point which moves in a plane such that it is equidistant from
two fixed points X and Y is
A. the perpendicular bisector of the line segment X Y
B. a line parallel to the line segment XY C. a circle with XY as diameter
D. the line perpendicular to the lin
Answers
Answer:
A. the perpendicular bisector of the line segment XY
Step-by-step explanation:
You know that one point equidistant from X and Y is the midpoint of segment XY. The third vertex of an isosceles triangle with XY as its base will also be equidistant from X and Y. That vertex will be located on the perpendicular bisector of XY.
The locus of points of interest is the perpendicular bisector of XY.
_____
For many geometry problems, it can be helpful to draw a diagram.
Select the correct answer.
Haley conducted a study which found that a cup of coffee contains 150 milligrams of caffeine. The amount of caffeine in the body each
hour after consumption of one cup is 9% less than the previous hour.
If Haley conducted her study for a total of 10 hours, which inequality represents the range of the exponential function that models this
situation?
150 s f(x) s 355.1
58.41 s f(x) < 150
O s f(x) s 10
0 <f(x) s 150
Submit
Reset
Answers
Answer:
The correct option is (B)[tex]58.41<f(x)<150[/tex].
Step-by-step explanation:
The exponential decay function is as follows:
[tex]y=a(1-r)^{t}[/tex]
Here,
y = final value
a = initial value
r = decay rate
t = time taken
It is provided that:
a = 150 mg
r = 9% = 0.09
Then the next hour the amount of caffeine in the body will be:
[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{1}\\=136.5\ \text{mg}[/tex]
Then after two hours the amount of caffeine in the body will be:
[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{2}\\=124.215\ \text{mg}[/tex]
Similarly after 10 hours the amount of caffeine in the body will be:
[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{10}\\=58.4124\ \text{mg}\\\approx 58.41\ \text{mg}[/tex]
Then the inequality representing the range of the exponential function that models this situation is:
[tex]58.41<f(x)<150[/tex]
Thus, the correct option is (B).
The best answer's you can get are the already answered one's (posted cause a guy in the comment said it was wrong when it was actually correct)
The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm. What is the approximate difference between m
Answers
Answer:
B) 44.8
Step-by-step explanation:
cos ( ∠C ) = 5/13 = 0.38462
m ∠C = cos^(-1) 0.38642 = 67.4°
m ∠A = 90° - 67.4° = 22.6°
m ∠C - m ∠A = 67.4° - 22.6° = 44.8°
Which expression has a positive value?
-4+(-5)(-6)+(-3)
8/10- (2)
3(-84-8) +28
-21-5)(-3) -10
Answers
Answer:
fourth one = 780
Step-by-step explanation:
-4-30-3 =-37
8/10-2 = -6/5
3(-92)+28 = 248
-26* -30 = 780
Make b the subject of the formula a = square root b+6
Answers
Answer:
b = (a - 6)^2
Step-by-step explanation:
Solve for b:
a = sqrt(b) + 6
a = sqrt(b) + 6 is equivalent to sqrt(b) + 6 = a:
sqrt(b) + 6 = a
Subtract 6 from both sides:
sqrt(b) = a - 6
Raise both sides to the power of two:
Answer: b = (a - 6)^2
The formula is simplified as the equation b = a² - 6
Given data:
To make "b" the subject of the formula "a = √(b + 6)", we need to isolate "b" on one side of the equation.
Here are the steps to rearrange the equation and solve for "b":
Start with the equation: a = √(b + 6).
Square both sides of the equation to eliminate the square root:
(a)² = (√(b + 6))².
Simplify the right side of the equation:
a² = b + 6.
Subtract 6 from both sides of the equation to isolate "b":
a² - 6 = b.
So, the equation "a = √(b + 6)" can be rearranged as "b = a² - 6". This new equation allows us to calculate the value of "b" based on a given value of "a".
Hence, the equation is b = a^2 - 6.
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i need help i’ll mark u as brainlist if u can help me imma not good at mAtH
- thanks ✌︎('ω')✌︎
Answers
Answer:
x = 44-y
Step-by-step explanation:
She has 44 glasses. The number of glasses of lemonade, y, and the number of glasses of ice tea, x, totals 44
x+y = 44
We want the number of glasses of ice tea
x = 44-y
can someone please help me answer this
Answers
Answer:
Step-by-step explanation:
5) Perimeter = 15 + 21 + 15 + 21 = 72 cm
6) diameter = 12 cm
Radius r = 12/2 = 6 cm
Circumference = 2πr
= 2 * 3.14 * 6
= 37.68 cm
8) Distance around the track = 2 *circumference of semi circle + 80 + 80
= circumference of circle + 80 + 80
= 2 * 3.14 * 10 + 80 +80
= 62.8 +80 +80
= 222.8 cm
A cone with radius 333 units is shown below. Its volume is 575757 cubic units. Find the height of the cone. Use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth.
Answers
Answer: 6.05 units
Step-by-step explanation:
Correct question is:
A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.
Hi, to answer this question we have to apply the next formula:
Volume of a cone = 1/3 x π x radius^2 x height
Replacing with the values given:
57 = 1/3x 3.14 x (3)^2 (h)
Solving for h
57 = 1/3 x 3.14 x 9 (h)
57 =9.42h
57/9.42 =h
h= 6.05 units
Feel free to ask for more if needed or if you did not understand something.
Answer:
6.05 units
Step-by-step explanation:
Find the volume of a cone with a radius of 9 inches and a height of 12 inches.
Answers
Answer:
1017.88 in^3 to the nearest hundredth.
Step-by-step explanation:
Volume = 1/3 * π r^2 h
= 1/3 * π * 9^2 * 12
= 1017.88 in^3.
mary has walked 8km, which is 55% of the total distance she will walk. How much father does mary need to walk?
Answers
Answer:
she needs to walk 6.5 kilometers more.
Step-by-step explanation:
8km/0.55 = 14.5454 - 8 = 6.5454 = 6.5km
When a number is decreased by 25%, the result is 22. What is the original number to the nearest tenth?
Answers
The decrease is 25% so this means that 22 is 75% of the original number (100% - 25% = 75%)
Divide 22 by 75%:
22/ 0.75 = 29.3
The answer is 29.3
Two cylinders are similar. The volume
of one is 8 cm3, and the volume of the
other is 125 cm3. Find the scale factor
between them.
Answers
Answer:
2/5
Step-by-step explanation:
[tex]\frac{\sqrt[3]{8} }{\sqrt[3]{125} } = \frac{2}{5}[/tex]
Answer:
2:5Step-by-step explanation:
have a blessed day and life
Simplify, using the distributive property and then combining like terms. 4(2x+y)-3(x+y)
Answers
Answer:
5x + y
Step-by-step explanation:
4(2x + y) - 3(x + y) = 4*2x + 4y - 3x - 3y = 8x - 3x + 4y - 3y = 5x + y
Hello!
Answer::[tex]\boxed{ \bf The~answer~is~5x~+~y}[/tex]
___________________________________Explanation:4(2x+y)-3(x+y)
Multiply everything inside the brackets by the number outside.
= 8x + 4y - 3x - 3y
Next, combine like terms.
= 8x - 3x + 4y - 3y
= 5x + y
Can you help plss and thank you
Answers
Answer:
Step-by-step explanation:
The area formula for a parallelogram is the same as the area formula for a rectangle or square. A = bh.
Our base is 5 1/4 and the height, which drops perpendicular to the base, is 4 1/5. So the formula for the area is
[tex]A=(4\frac{1}{5})(5\frac{1}{4})[/tex]
Choice D
help!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
2. 90+240= 330 m cubed
3. (24*2)+96= 144 cm cubed
A large box P containing 15 cans of biscuits weighs 23 kg and weighs 500g when empty. A box containing 8 cans of the same biscuits Q weighs 12.3kg. Box Q What is the mass when the box is empty?
Answers
Answer:
300 g
Step-by-step explanation:
weight of a can of biscuits= (23- 0.5)/15= 1.5 kg
weight of 8 cans= 1.5 * 8= 12 kg
mass of the empty box Q= 12.3- 12= 0.3 kg= 300 g
Answer:
300 g or 0.3 kg
Step-by-step explanation:
23 kg - 500g = 22.5 kg
each can of biscuits weighs 22.5 ÷ 15 = 1.5 kg
if the box Q weighs 12.3kg when there's 8 box of biscuits then
8 × 1.5 = 12 kg is the weight of biscuits and the remaining 300 g is box Q's weight
Solve the equation -10x + 1 + 7 = 37
Answers
Answer:
-2.9
Step-by-step explanation:
-10x + 1 + 7 = 37
Combine like factors.
-10x + 8 = 37
Subtract 8 from both sides.
-10x = 29
Divide both sides by -10.
x = -2.9
Answer:
x = -29/10 = -2 9/10
Step-by-step explanation:
-10x + 1 + 7 = 37
Combine like terms
-10x +8 = 37
Subtract 8 from each side
-10x + 8-8 = 37-8
-10x = 29
Divide each side by -10
-10x/-10 = 29/-10
x = -29/10
x = -2 9/10
slove for x.
3x+22=66
Answers
Answer:
[tex]x = 14.667[/tex]
Step-by-step explanation:
[tex]3x + 22 = 66 \\ 3x = 66 - 22 \\ 3x = 44 \\ \frac{3x}{3} = \frac{44}{3} \\ x = 14.667[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
x = [tex]\frac{44}{3}[/tex] OR x = 14.67
Step-by-step explanation:
The first step is to subtract 22 from both sides, like so:
3x + 22 = 66
- 22 - 22
--------------------
3x = 44
Divide both sides by 3:
x = [tex]\frac{44}{3}[/tex] OR x = 14.67
Which of the following is the product of the rational expressions shown below? 3/x+2 ⋅ 7/2x
Answers
Answer:
[tex]\frac{21}{2x^{2} +4x}[/tex]
Step-by-step explanation:
[tex]\frac{3}{x+2} \times \frac{7}{2x}[/tex]
[tex]\frac{7 \times 3}{2x(x+2)}[/tex]
[tex]=\frac{21}{2x^{2} +4x}[/tex]
Does anyone know how to do this type of shape/figure
Answers
Answer: I think it is b
Step-by-step explanation:
if $350 is shared in the ratio 2:5,the smaller share is
Answers
Answer:
$100
Step-by-step explanation:
350/7=50
50x2=100
The common ratio of a geometric series is \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction and the sum of the first 444 terms is 170170170.
Answers
Answer:
The common ratio of a geometric series is \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170
The first term is 128
Step-by-step explanation:
The common ratio of the geometric series is given as:
[tex]r = \frac{1}{4}[/tex]
The sum of the first 4 term is 170.
The sum of first n terms of a geometric sequence is given b;
[tex]s_n=\frac{a_1(1-r^n)}{1-r}[/tex]
common ratio, n=4 and equate to 170.
[tex]\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170[/tex]
[tex]\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170\\\\ \frac{255}{256} a_1 = \frac{3}{4} \times 170\\\\\frac{255}{256} a_1 = \frac{255}{2} \\\\\frac{1}{256} a_1 = \frac{1}{2} \\\\ a_1 = \frac{1}{2} \times 256\\\\a_1 = \frac{1}{2} \times 256 \\\\= 128[/tex]
Answer:
The first term is 128
