Answers
Answer:
44Step-by-step explanation:
According to intersecting chords theorem:
21(2x - 6) = 30(x + 1)42x - 126 = 30x + 3042x - 30x = 126 + 3012x = 156x = 156/12x = 13Find the value of YZ:
YZ = 30 + 13 + 1 = 44[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{21(2x - 6) = 30(x + 1)}[/tex]
[tex]\large\textsf{21(2x) + 21(-6) = 30(x) + 30(1)}[/tex]
[tex]\large\textsf{21(2x) = 42x}[/tex]
[tex]\large\textsf{21(-6) = -126}[/tex]
[tex]\large\textsf{30(x) = 30x}[/tex]
[tex]\large\textsf{30(1) = 30}[/tex]
[tex]\large\textsf{42x - 126 = 30x + 30}[/tex]
[tex]\large\text{Put ALL your LIKE TERMS TOGETHER}[/tex]
[tex]\large\text{NEW EQUATION: \textsf {42x - 30x = 126 + 30}}[/tex]
[tex]\large\textsf{42x - 30x = 12x}[/tex]
[tex]\large\textsf{126 + 30 = 156}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{12x = 156}}[/tex]
[tex]\large\text{DIVIDE 12 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{12x}{12}=\dfrac{156}{12}}[/tex]
[tex]\large\text{CANCEL out: } \mathsf{\dfrac{12}{12}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{156}{12}}\large\text{ because that helps you solve for your the given equation} \\\\\large\text{and your YZ result}[/tex]
[tex]\mathsf{\dfrac{156}{12}=\bf 13}[/tex]
[tex]\large\text{NEW and FINAL EQUATION: \textsf{30 + 1 + 13}}[/tex]
[tex]\large\textsf{30 + 1 + 13}[/tex]
[tex]\large\textsf{30 + 1 = \bf 31}[/tex]
[tex]\large\textsf{= 31 + 13}[/tex]
[tex]\large\textsf{= \bf 44}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf YZ = 44 }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Related Questions
Help please, I’m confused if someone could answer it and explain I’ll give brainliest because I’m SO confused.
Answers
Answer:
I think its the last one
Step-by-step explanation:
b. the graph g(x) is shifted seven units to the right of f(x)
step-by-step explanation:
i use desmos for these kinds of problems
the graph g(x) is shifted seven units to the right of f(x)
the vertex of g(x) is (7, -5) so there is only one correct answer
What is the appropriate equation used that would solve for x
Answers
Answer:
E) 6x - 10 = 4x + 20
Step-by-step explanation:
In this type of picture, the opposite angles are congruent (they equal the same)
So the right equation would be 6x - 10 = 4x + 20, or E
Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the next three people. The numbers 0–5 represent people who use sunscreen, and the numbers 6–9 represent people who do not use sunscreen. What is the probability that two of the next three respondents use sunscreen?
Answers
Answer:
[tex]Pr = 0.50[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Probability that 2 of 3 use sunscreen
From the attached data, we have:
[tex]S = \{275, 738, 419, 582, 987, 436, 578, 472, 178, 839\}[/tex]
[tex]n(S) = 10[/tex]
Events where 2 of the 3 uses sunscreen is:
[tex]x = \{275, 419, 582, 436, 472\}[/tex] --- i.e. where 0 -5 represents sunscreen
[tex]n(x) = 5[/tex]
So, the required probability is:
[tex]Pr = \frac{n(x)}{n(S)}[/tex]
[tex]Pr = \frac{5}{10}[/tex]
[tex]Pr = 0.50[/tex]
Please help and show work!
Answers
Answer:
Step-by-step explanation:
The given quadratic must be rewritten in standard form before anything else is done: -2x^2 + 8x - 8 = 0. The coefficients of the x terms are {-2, 8, -8}.
The discriminant b^2 - 4ac is therefore (8)^2 - 4(-2)(-8), or 64 - 64, or 0.
A zero discriminant points to two real, equal solutions.
|2x-5|<1
i need help pleaseeeeee
Answers
Answer:
x < 3 or x < 2
Step-by-step explanation:
|2x-5|<1
Using compound Inequality
(2x - 5) <± 1
Hence,
a) 2x - 5 < -1
2x < -1 + 5
2x < 4
x < 4/2
x < 2
b) 2x - 5 < +1
2x < 1 + 5
2x < 6
x < 6/2
x < 3
Therefore, x < 3 or x < 2
A school has 764 students. Of the students, 118 are in third grade. Which
equation can be used to find s, the total number of students in all of the other
grades?
764 + 118 = s
s
764 = 118
118 = 764
118 + s = 764
Answers
Answer:
D. 118 + s = 764
Step-by-step explanation:
To find the total number of students in all the other grades, if we only know the total number of students in the school and the number of kids in 3rd grade, we need to subtract the kids in 3rd grade from the entire school. This leaves us with 646.
s = 646
Hope it helped!
6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0
Answers
x = -1, -7/3
Roberto debe leer un libro que contiene 340 páginas en 4 días por lo cual planea la siguiente distribución: el primer día 1/5 de las páginas del libro, el segundo 1/4 de lo que queda por leer y el tercero 1/6 del resto. ¿Cuántas páginas le quedan por leer a Roberto en el cuarto día?
Answers
Answer:
170 pages
Step-by-step explanation:
Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution
The number of pages he read for the first day :
The first day 1/5 of the pages of the book
This is calculated as:
1/5 × 340 pages
= 68 pages
For the second day:
The second 1/4 of what remains to be read
The number of pages remaining after the first day is calculated as:
340 - 68 = 272 pages
Hence, the number of pages read on the second day is
1/4 × 272 pages
= 68 pages
For the third day
One the third day, 1/6 of the rest was read.
The number of pages remaining after the first day is calculated as:
272 - 68 = 204 pages
Hence, the number of pages read on the third day is
1/6 × 204 pages
= 34 pages
Therefore, the number of pages Roberto has to read on the fourth day is calculated as:
340 pages - (68 + 68 + 34)pages
340 pages - 170 pages
= 170 pages
NEED THE ANSWER PLEASE
Answers
Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m[tex]\widehat{AG}[/tex] = 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m[tex]\widehat{ABE}[/tex] = 48°
∴ m[tex]\widehat{ABE}[/tex] = 2 × 48° = 96°
m∠AEF = (1/2) × m[tex]\widehat{AGE}[/tex]
m[tex]\widehat{ABE}[/tex] + m[tex]\widehat{AGE}[/tex] = 360° (angle round a circle)
∴ m[tex]\widehat{AGE}[/tex] = 360° - m[tex]\widehat{ABE}[/tex] = 360° - 96° = 264°
m[tex]\widehat{AGE}[/tex] = m[tex]\widehat{AG}[/tex] + m[tex]\widehat{EG}[/tex]
∴ m[tex]\widehat{EG}[/tex] = m[tex]\widehat{AGE}[/tex] - m[tex]\widehat{AG}[/tex] = 264° - 175° = 89°
m[tex]\widehat{EG}[/tex] = 89°.
Find the circumference of the given circle. Round your answer to the nearest whole number.
Answers
Answer:
circumference = 31 inches
Step-by-step explanation:
using the Pythagorean theorem:
diameter² = 8² + 6² = 100
diameter = √100 = 10
circumference = 10 x 3.14 = 31.4 inches
Find the surface area of the above solid
Answers
Answer:did u ever find the answer i need it
Step-by-step explanation:
Which is true about the angle relationships in the
rectangle? Check all that apply.
BEA and Z CED are vertical angles and equal
76º.
ZABE and Z CBE are complementary angles.
BEC and Z CED are vertical angles.
BEA and AED are supplementary angles
whose sum is 180°
BEC and AED are adjacent angles.
Answers
Answer:
∠BEA = ∠CED = 104° (vertical angles)
∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°
∠BEA and ∠AED are supplementary angles. 104 + 76 = 180
Step-by-step explanation:
Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent to each other.
Complementary angles are angle whose sum add up to 90° while supplementary angles are angles whose sum add up to 180°
Two angles are adjacent if they are placed side by side and share the same vertex.
∠BEA = ∠CED = 104° (vertical angles)
∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°
∠BEC and ∠CED are not vertical angles
∠BEA and ∠AED are supplementary angles. 104 + 76 = 180
∠BEA and ∠AED are not adjacent angles
Answers: A B D
Step-by-step explanation:
I did the quiz
Find the inverse: y = - 1/2 x + 4.
Answers
∆ABC is isosceles with legs AB and AC. If AC = 6 cm, and the perimeter is 15 cm, calculate m∠B.
Answers
Answer:
m∠B = 75.5°
Step-by-step explanation:
Since AC = 6, then AB = 6 and BC = 15-6-6 = 3
The altitude from A bisects side BC. Let the point of intersection of the altitude and BC be point D. Then BD = 1.5
Cos B = 1.5/6
m∠B = arcccos (1.5/6)
m∠B = 75.5°
Determine the volume of the shape below
Answers
Answer:
V = 24513.85 m³Explanation:
Volume of a right cylinder = area of the base × height
V = πr² × h
r = d/2
r = 34/2 = 17 m
V = π × 17² × 27
V = 24513.85 m³
Work out the area of triangle ABC
2 root 5 cm
3 root 2 cm
Answers
what is 4(2/3x +2) = 3x
Answers
X=24 is the answer!
Explanation:
Answer:
x = 8
Simplified
3x = 8 + 8/3x
Step-by-step explanation:
4(2/3x + 2) = 3x
8/3x + 8 = 3x
8/3x - 8/3x + 8 = 3x - 8/3x
8 = x
Please help! I will give Brainliest!
Who is correct?
Answers
Answer:
Eric is correct
Step-by-step explanation:
please help me!!!! i’m so bad a mathhhh
Answers
Answer:
22x^2+21x+10
brainliest?
Step-by-step explanation:
Answer:
The 4the bubble
Step-by-step explanation:
It is pretty much combining like terms. 22x² is alone since there is no other variable that has an x², so it will be left alone. However, there is 14x and -7x, they both have an x, so that makes them like terms. Combine those and you get 14x minus 7x which is 7x. The number 10 has no other like term to combine with so it can be left alone as well, so just put them all together in the end (simplify). Which would be 22x² + 7x + 10
In the figure below, ACDE is similar to AFGH.
D
G
11
8
C
5 E
2X+4
F
H
If the perimeter of AFGH is 48 units, find the value of x.
Answers
Answer:
6
Step-by-step explanation:
[tex]1)\ P_1 = 11 + 8 + 5 = 24\ units[/tex]
[tex]2)\ 2x + 4 + y +z = 48[/tex]
[tex]3)\ \frac{48}{24} = 2 => 2x+4 = 2*8[/tex]
[tex]4)\ 2x+4 = 2*8 => 2x + 4 = 16 => 2x = 12 => x = 6[/tex]
Answer:
6
Step-by-step explanation:
[tex] \triangle CDE \sim \triangle FGH[/tex]
[tex] \frac{P(\triangle CDE) }{P(\triangle FGH)} =\frac{CD}{GH} [/tex]
(Area of similar triangle theorem)
[tex] \frac{11+8+5}{48} =\frac{8}{2x +4} [/tex]
[tex] \frac{24}{48} =\frac{8}{2x +4} [/tex]
[tex] \frac{1}{2} =\frac{8}{2x +4} [/tex]
[tex] 2x + 4 = 2\times 8[/tex]
[tex] 2x + 4 =16[/tex]
[tex] 2x =16-4[/tex]
[tex] 2x =12[/tex]
[tex] x =\frac{12}{2} [/tex]
[tex] x = 6 [/tex]
Find the value of g, f, e, and d
Answers
Answer:
g-86=15
g= 15+86=101
e-27=45
e=45+27=72
6f+15+45=180
6f=180-60
6f=120
f=20
d=6f
d=120
Find the volume of the pyramid. Someone help plz
Answers
Answer:
2880
Step-by-step explanation:
10 x 8 x 6 x 12 = 5760/2 = 2880
Rectangle A and B have the same Area. Rectangle A has a length of 7m and a width of 4m. Rectangle B has a width of 10m. What is the perimeter of Rectangle B? *
Answers
Answer:
P = 25.6 feet
Step-by-step explanation:
Given that,
Rectangle A and B have the same Area.
The area of a rectangle is given by :
A = lb
[tex]l_Ab_A=l_Bb_B[/tex]
We have,
[tex]l_A=7\ m, b_A=4\ m, b_B=10\ m[/tex]
So,
[tex]l_B=\dfrac{l_Ab_A}{l_B}\\\\l_B=\dfrac{7\times 4}{10}\\\\l_B=2.8\ m[/tex]
The perimeter of rectangle B,
[tex]P=2(l_B+b_B)\\\\=2(2.8+10)\\\\=25.6\ ft[/tex]
So, the perimeter of rectangle B is equal to 25.6 feet.
TEXAS Test Prep
Which equation represents the fraction of beads that are green or yellow?
⚫⚪⚫⚫⚫⚫⚫⚫
A. 1/2 + 1/4 = 3/4
B. 1/4 + 1/8 = 3/8
C. 1/2 + 1/8 = 5/8
D. 3/4 + 2/8 = 1
Answers
Answer:
1/8 + 1/2 = 5/8
Step-by-step explanation:
Total number of beads = 8
Number of green beads = 4
Number of yellow beads = 1
Fraction of green beads :
Number of green / total number of bead = 4 / 8 = 1/2
Fraction of yellow beads :
Number of yellow / total number of bead = 1 / 8
Number of green or yellow bead :
1/8 + 1/2 = (1 + 4) / 8 = 5/8
1. Which of the following represents a function?
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(3, 4), (-3, 2), (3, 8), (5, 5)
(2, 3), (4,3), (-2, -3), (-4, -3)
(5, 1), (5, 2), (5, 3), (5, 4)
Answers
Answer: ( -2, -1
Step-by-step explanation:
A truck rental company a basic fee of $70 and an additional $4 per mile for the rental of its trucks. Michelle paid a total of $210 when she rented a truck. How many miles did she drive the truck?
A 17.5 miles
B 35miles
C 70 miles
D 122.5 miles
Answers
Answer:
35 Miles
Step-by-step explanation:
Mark me brainliest.
210 minus 70 = 140
140 divided by 4 = 35
35 is your answer.
FIRT TO ANSWER GETS BRAINLYEST
Which best explains whether 9 is a solution to the inequality x greater-than 9?
It is not a solution because 9 is not greater than 9.
It is not a solution because 9 is not less than 9.
It is a solution because 9 is greater than 9.
It is a solution because 9 is less than 9.
Answers
EXPLANATION:
the equation is X > 9
if you replace x with 9,
then the equation would be 9 > 9
9 is not greater than 9. so it is not true.
Hope it helps!
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!! NO RANDOM LINKS.
Answers
Answer:
B, C, D
Step-by-step explanation:
9x4=36 Yes
12x3=36 Yes
6x6=36 Yes
9x9=81 No
8x4=32 No
A warehouse has a height of 8 2/10 meters, length of 120 meters, and width of 20 3/10 meters. What is the volume of the warehouse?
Answers
Volume = 119975.2 meters3
A class has 25 students. In how many seats can four students be chosen as class leaders?
Answers
Answer:
3 groups will have 5 members with a class leader, but only one will have 6 members and a class leader
Step-by-step explanation: