Central Angles and Arc Measures Practice
What is X?
Answer: [tex]5^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle DIE=(18x-2)^{\circ}\\\angle DIH=15^{\circ}\\\angle FIG=103^{\circ}[/tex]
from the figure
[tex]\angle HIE=\angle GIF\quad [\text{vertically opposite angles}]\\\angle HID+\angle DIE=\angle GIF\\15^{\circ}+(18x)^{\circ}-2^{\circ}=103^{\circ}\\(18x)^{\circ}=103^{\circ}-13^{\circ}\\\\x=\dfrac{90^{\circ}}{18}\\\\x=5^{\circ}[/tex]
i'll mark as brainliest if it lets me;-;
please answer B. & C. with solution:)
Answer:
B. AC = 22, BC = 22, AB = 44
C. AC = 30, BC = 30, AB = 60
Step-by-step explanation:
B.
[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)
[tex] \therefore AC = BC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)
[tex] \therefore 2x - 6 = x + 8[/tex]
[tex] \therefore 2x - x= 6 + 8[/tex]
[tex] \therefore x= 14[/tex]
[tex] AC = 2x-6=2(14)-6=28-6= 22[/tex]
[tex] BC= x + 8=14 + 8= 22[/tex]
AB = AC + BC = 22 + 22 = 44
C.
[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)
[tex] \therefore BC = AC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)
[tex] \therefore 7x-5=4x+10 [/tex]
[tex] \therefore 7x - 4x= 5 + 10[/tex]
[tex] \therefore 3x= 15[/tex]
[tex] \therefore x= \frac{15}{3}[/tex]
[tex] \therefore x= 5[/tex]
[tex] AC = 4x+10=4(5)+10=20+10= 30[/tex]
[tex] BC= 7x - 5=7(5)-5=35-5= 30[/tex]
AB = AC + BC = 30 + 30 = 60
Can someone help me with this?
Answer:
Step-by-step explanation:
We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is
n + q = 53
The VALUE equation relates how much each coin is worth to the total amount of money it equals:
.05n + .25q = 5.65.
Go back to the first equation and solve it for either n or q. I solved it for n:
n = 53 - q
Plug this into the second equation in place of n now to get:
.05(53 - q) + .25q = 5.65 and
2.65- .05q + .25q = 5.65 and
.20q = 3 so
q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are
n + 15 = 53 nickels and
n = 38 nickels.
How would you simplify this? Please help
[tex]8^{\frac{4}{3}} = \sqrt[3]{8^4} = \sqrt[3]{(2^3)^4} = \sqrt[3]{2^{3*4}} = 2^4 = 16[/tex]
Answer: C (16).
[tex]2\sqrt{6} - 6\sqrt{54} = 2\sqrt{6} - 2 * 3 * \sqrt{6} * \sqrt{9} = 2\sqrt{6}(1-3\sqrt{9}) = 2\sqrt{6}(1-3*3) = 2\sqrt{6}(1-9)=2*\sqrt{6}*(-8) = -16\sqrt{6}[/tex]
1.
[tex] \sqrt[3]{8^{4} } [/tex]
2.
[tex]2 \sqrt{6} - 6 \sqrt{54} \\ 2 \sqrt{6} - 6 \sqrt{9 \times 6} \\ 2 \sqrt{6} - 18 \sqrt{6} \\ - 16 \sqrt{6} [/tex]
Simplify: [tex]\frac{\left(x^{\frac{5}{2}}\cdot 6y^2\cdot \sqrt[3]{y^4}\right)}{12x^{\frac{1}{2}}\cdot \sqrt[4]{x^3}}[/tex]
Answer:
[tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]Step-by-step explanation:
[tex]\frac{x^{\frac{5}{2} }*6y^2*\sqrt[3]{y^4} }{12x^{\frac{1}{2}}*\sqrt[4]{x^3} } =[/tex] [tex]\frac{x^{ \frac{5}{2} }6y^2y^{ \frac{4}{3} } }{12x^{ \frac{1}{2} }x^{ \frac{3}{4} }} =[/tex][tex]\frac{1}{2} x^{\frac{5}{2} - \frac{1}{2} - \frac{3}{4}}y^{2+\frac{4}{3}}=[/tex][tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]Plz help fast will mark brainliest!!!
∠A and \angle B∠B are complementary angles. If m\angle A=(2x-4) ∘ and m\angle B=(5x+17) ∘ , then find the measure of \angle A∠A.
Answer: 18°
Step-by-step explanation:
Complementary angles are the angles that when we add them together, the value will equal 90°.
In this question, we've to add both angles and equate them to 90°. This will be:
(2x - 4) + (5x + 17) = 90
2x - 4 + 5x + 17 = 90
Collect like terms
2x + 5x = 90 + 4 - 17
7x = 77
x = 77/7
x = 11
Angle A will be:
= (2x-4)
= 2(11) - 4
= 22 - 4
= 18°
help, don't guess. tyyyy
Answer:
[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]
0 (zero)
Step-by-step explanation:
The 8-sided die has numbers less than 9. So, they can never be greater than 9.
Write the following expression as the product of a repeated variable. X^5
Answer:
25
Step-by-step explanation:
x-4 in word form
Please help it’s due today!
Answer:
x minus four
Step-by-step explanation:
make b the subject of the formula a=\sqrt(b+6)
Making 'b' the subject of formula gives b = a² - 6
How to determine the subject of formulaIt is important to note that the subject of formula is described as a variable that is made up to stand alone in an equation.
The subject of formula is the variable that is worked out on on side of the equation sign.
From the information given, we have the equation;
a = [tex]\sqrt{(b + 6)}[/tex]
To make 'b' the subject of formula, we take the following steps;
Find the square of both sides, we get;
a² = [tex](\sqrt{(b + 6)} ^2[/tex]
Cancel out the square, we get;
b + 6 = a²
collect the other terms on one end of the equation, we have;
b = a² - 6
Hence, the equation is b = a² - 6
Learn more about subject of formula here:
https://brainly.com/question/10643782
#SPJ1
If your good at math please help me with this question
Answer:
answer: 361.88
Hope that helps!
What does difference of squares mean? How can you recognize it when looking at an expression?
the product of twice a number and one less than that same number
Answer:
(2n)*(n-1)
Step-by-step explanation:
PLEASE HELP!! NO LINKS!! GIVING 12 POINTS AWAY!!
Answer:
1.105°
2.35°
3.35,°
4.50°
Step-by-step explanation:
ito po yung answer ko sa assignment you sa Maka tulong
PLEASE HELP!
What shapes do I need to use to find the surface area? (How many of each shape)
Answer:
Area of Plane Shapes-
1. Triangle Area = ½ × b × h b = base h = vertical height
2. Square Area = a2 a = length of side
Step-by-step explanation:
The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration. Surface area is the total amount of space that all of the surfaces of an object take up. It is the sum of the area of all the surfaces of that object.[1] Finding the surface area of a three-dimensional shape is moderately easy as long as you know the correct formula. Each shape has its own separate formula, so you'll first need to identify the shape you’re working with. Memorizing the surface area formula for various objects can make calculations easier in the future. Here are a few of the most common shapes you might encounter.
1
Define the formula for surface area of a cube.
2
Measure the length of one side.
3
Square your measurement for a.
4
Multiply this product by six.
please let me know if I did it good and lmk if I did anything wrong ( finding area )
Solve and graph.
k - 13 > -51
Answer:
The answer will be A k>-38
I need help with this
Answer:
D.
Step-by-step explanation:
You pass 3x to the other side so you get 4y = -16 - 3x
to clear y you divide both sides by 4
y = (-16-3x )/ 4
you can simplify this so it so it gives us
y = -4 - 3/4x
An Angle measures 64 more than the measure of its supplementary angle what is the measure of each angle
Answer:
Original angle = 122*
Supplementary angle = 58*
Step-by-step explanation:
A supplementary angle is one of two angles that make up 180*
If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.
So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.
The formula to figure it out would look like this: x + (x + 64) = 180
x is the supplementary angle
x + 64 is the original angle (64 MORE than its supplementary angle)
180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.
Take the formula and do a little algebra.
x + (x + 64) = 180
Subtract 64 from both sides
x + x = 116
Combine the x's
2x = 116
Divide both side by 2
x = 58
Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.
x + 64 = 122
Check our work:
x + (x + 64) = 180
58 + 58 + 64 = 180
Given :
An angle which measures 64° more the measure of its supplementary angle.⠀
To Find :
The measure of its supplementary angle.⠀
Solution :
Let's assume the one of the supplementary angle as x and the other angle as (x + 64)° .Now,
⠀
According to the Question :
⠀
[tex]\longrightarrow\qquad \sf{{x + (x + 64) {}^{ \circ} = {180}^{ \circ} }}[/tex]
⠀
[tex]\longrightarrow\qquad \sf{{x + x + 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]
⠀
[tex]\longrightarrow\qquad \sf{{2x + 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]
⠀
[tex]\longrightarrow\qquad \sf{{2x = {180}^{ \circ} - 64 {}^{ \circ}}}[/tex]
⠀
[tex]\longrightarrow\qquad \sf{{2x = {116}^{ \circ} }}[/tex]
⠀
[tex]\longrightarrow\qquad \sf{{x = \dfrac{{116}^{ \circ}}{2} }}[/tex]
⠀
[tex]\longrightarrow\qquad \mathfrak{\pmb{{x = {58}^{ \circ} }}}[/tex]
⠀
Therefore,
One angle = 58°Other angle = 58° + 64° = 122°⠀
Henceforth ,
The measure of the two angles are 122° and 58° .can someone help me... thanks ❤️
Answer:
13m
Step-by-step explanation:
What exactly does it mean when a question says "consecutive integers"?
Answer:
Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.
hope this helps
have a good day :)
Step-by-step explanation:
What is the sum of 0.5 and 0.3 ?
Answer:
0.8
Step-by-step explanation:
5 x 3 = 8 (Add the "0." at the end) That's all, hope it helped!
Answer:
The answer is 0.8. Think of it like a normal number.
The circumference of a circle is 17 π π in. Find its diameter, in inches
Answer:
r = 8.5 inches
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
17 pi = 2 * pi *r
Divide each side by 2 pi
17 pi / ( 2pi) = 2 * pi r/ ( 2 pi)
17/2 = r
8.5 = r
The answer is 8.5 inches.
The figure below shows BT with point B at the intersection
of SW and RU
350
B 50°
W3
What is the measure of ZSBT?
Answer:
95
Step-by-step explanation:
The sum of any straight angle is 180 (Therom)
180 - (50 +35) =95
Every 2 days, Marina spends a total of 5.25 hours baking cupcakes and 4.75 hours decorating the cupcakes. At this rate, what is the total number of hours that Marina will spend baking and decorating cupcakes in 7 days?
PLS HELP!!! I HAVE A TIME LIMIT
Answer:
70
Step-by-step explanation:
Ok so we first add 4.75 and 5.25. 4.75+5.25=10. So 10 hours each day so 10 x 7 = 70. 70 hours in 7 days
Answer:
i would say it is either 30 or 35
Step-by-step explanation:
7/2=3.5
so you would round it down to 3 or keep it that
and 4.75+5.25=10
3(10)=30 and 3.5(10)=35
If it's every two days.
Jason has x nickels and y dimes. He has no less than 15 coins worth a maximum of $1 combined. Solve this system of inequalities graphically and determine one possible solution.
Answer:
x + y > 15
10x + 5y < 100
we will put it in terms of y
y > 15 - x
and
5y < 100 - 10x
y < 20 - 2x
-TheUnknownScientist
Please help me!
describe the transformation for f(x)=[tex]\sqrt[3]{x}[/tex] to g(x)=[tex]-2\sqrt[3]{x} +4[/tex]
Step-by-step explanation:
transformation : f(x) --> g(x) = -2x + 4
5.3x - 9 + 7.6x simplify pls
Answer:
12.9x-9
Step-by-step explanation:
add 5.3x and 7.6x
Answer:
12.9x-9
Step-by-step explanation:
First you have to combine the like terms which are 5.3x + 7.6x= 12.9x. Then you just rewrite the equation 12.9x-9. You just leave the 9 by it self because there's no other like terms.
More examples -
5.3x+−9+7.6x
Combine Like Terms:
=5.3x+−9+7.6x
=(5.3x+7.6x)+(−9)
=12.9x+−
Find the volume and show work
Answer:
7234.56 km³
Step-by-step explanation:
Volume = 4/3(πr³)
Volume = 4/3(3.14 * 1728)
Volume = 4/3(5425.92)
Volume = 7234.56
Units = km³
7234.56 km³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K