Answers
Answer:
x = 19 degrees
y = 84 degrees
Step-by-step explanation:
recall that for an isosceles triangle (which is pictured), the base angles have the same value.
In our case, we can see that the base angles are 48 deg and (3x-9) deg
if they are equal, we can equate them like this:
48 = 3x-9 (add 9 to each side)
48 + 9 = 3x
57 = 3x (divide both sides by 3)
x = 57/3
x = 19 degrees (answer)
also recall that the sum of the interior angles of a triangle add up to 180 deg, hence
48 deg + 48 deg + y deg = 180 deg
2(48) + y = 180
96 + y = 180
y = 180 - 96
y = 84 deg
Related Questions
Allen earns $260.50
doing yard work. He mows 8
lawns for $25
each and weeds gardens for $5.50
each. What equation can be used to find the number of gardens he weeds, w
?
Answers
rename 4/5 and 5/7 using the least common denominator
Answers
Answer:
wh
Step-by-step explanation:
Answer:
4/5 = 28/35 and 5/7 = 25/35
Explanation:
Multiply 5 times 7 to get 35, then multiply 4 times 7 for the numerator of the first fraction and 5 times 5 for the numerator of the second equation.
Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.
40
17
15
42
52
67
65
14
Answers
Answer:
The possible lengths of TR : TR = 17, 40, 42, 52,
Step-by-step explanation:
Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.
To find the possible lengths of the third side of a triangle:
c - a< b > a + c
a = WT = 25
c = WR= 40
b = TR = ??
40 - 25 < b < 40 + 25
15 < b < 65
The possible lengths of TR has to be greater than 15 and less than 65, Hence: TR = 17, 40, 42, 52,
compared to last year, the population of Boom Town has increased by 10%. The population is now 6,600. What was the population last year?
Answers
Answer:
60
Step-by-step explanation:
6600 x 10% = 60&$;#;,$:#&#>$
New price / %multiplier = original price
Multiplier = 1 + 10/100 = 1.1
6600 / 1.1 = 6000
PLEASE HELP! (don't graph, give me the coordinates and i will graph myself)
Answers
Answer:X=3
y= -4
Step-by-step explanation:
If we're solving for x or y, then the intercept we're not solving for is equal to zero. Solving for y means x=0, solving for x means y=0.
so solving for x, 4x=12--> x=3, since y=0 in this scenario.
Solving for y, x=0, so -3y=12--> y=(-4)
9514 1404 393
Answer:
see below for a table
Step-by-step explanation:
You can easily identify intercept points by solving for one variable when the other is zero.
x-intercept (y=0)
4x = 12
x = 12/4 = 3
y-intercept (x=0)
-3y = 12
y = 12/-3 = -4
So, the coordinate pairs of these points are ...
(3, 0) and (0, -4)
__
If you solve for y, you get ...
-3y = 12 -4x
y = (4/3)x -4 . . . . . divide by -3
This suggests that x being a multiple of 3 will be useful for finding integer values of y.
We already have points for x=0 and x=3. We can add points for x=6 and x=-3.
y = 4/3(6) -4 = 4
y = 4/3(-3) -4 = -8
So, the additional points are ...
(6, 4) and (-3, -8)
5/6 multiplied by 1/5
Show you work please
Answers
Answer:
The answer is 5/30
Step-by-step explanation:
The answer is 5/30 because when multiplying a fraction by a fraction you have to multiply the numerator by the numerator and the denominator by the denominator so if you multiply 5 by 1 you get 5 and when you multiply 6 by 5 you get 30 so the answer is 5/30
Divide following polynomials 5x2 - 18x-27/x-5
Answers
Answer:
[tex]\frac{5x^{3}-18x^{2} -5x-27 }{x}[/tex]
Step-by-step explanation:
ΔZAP has coordinates Z (−1, 5), A (1, 3), and P (−2, 4). A translation maps point Z to Z' (1, 1). Find the coordinates of A' and P' under this translation.
Group of answer choices
A' (−4, 0); P' (−1, −1)
A' (3, −1); P' (0, 0)
A' (−1, −1); P' (−4, 0)
A' (0, 0); P' (3, −1)
Answers
The GCF, greatest common factor, for 35 and 70 is:
O No answer text provided.
O No answer text provided.
O 5
O 35
O 70
o
None of the above
Answers
Answer: 35
Step-by-step explanation:
A square-base pyramid has the following measurements: The base edges are 3cm The height of the pyramid is 8cm What is the slant height of the pyramid?
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
good luck
Trapezoid QUAD is graphed on the coordinate plane and
then reflected over the x-axis to create trapezoid
Q'U'A'D'.
3
If trapezoid Q'U'A'D'is dilated by a factor of with
4
respect to the origin to create trapezoid Q"U"A"D", what
are the coordinates of A"?
U
A
O (2, 4)
O (-2,4)
3+
2+
1+
Q
D
o , -3)
0 (33)
-5 -3 -2 -1
2
3
/4
sx
-2
-37
UP
-4 -5
A'
Answers
Answer:
A''(3/2, -3)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and rotation.
If a point A(x, y) is reflected over the x axis, the new point would be A'(x, -y).
If a point A(x, y) is dilated by a factor k, the new point would be A'(kx, ky).
Given that Trapezoid QUAD has vertices at Q(-4, 0), U(-2, 4), A(2, 4) and D(4, 0). If the trapezoid is reflected over the x-axis to create trapezoid Q'U'A'D', the vertices would be at Q'(-4, 0), U'(-2, -4), A'(2, -4) and D'(4, 0).
If trapezoid Q'U'A'D'is dilated by a factor of 3/4 respect to the origin to create trapezoid Q"U"A"D", the vertices would be at Q''(-3, 0), U''(-3/2, -3), A''(3/2, -3) and D''(3, 0)
Answer:
A''(3/2, -3)
Step-by-step explanation: i just took the test on edge
Solve for r: 7r+ 30 = -65
Answers
Answer:
R= - 95/7
Step-by-step explanation:
I'm having trouble with this...
Solve.
{y=x−63x+2y=8
Use any method.
(14, 8)
(3, -3)
(0, -6)
(4, -2)
Answers
Answer:
(4, -2) should be the correct answer.
Please help ASAP!!!!!!!!!!!
Answers
Answer:
5 and 4
Step-by-step explanation:
What does four more than one-third x
Answers
Answer:
it means 4 times 1/3x
4x/3
I need help with number 11 and number 12
Answers
Answer:
11) 6
12) 3
Step-by-step explanation:
2 log 2 8
so 2(log2 8)
Base 2 so 2^x=8 so 3.
2*3 is 6.
log a a cubed
base a so a^ x = a^3
x=3
so 3.
Hope this helps ;D
Answer:
6 and 3
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] ⇔ n log x
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
[tex]log_{a}[/tex] a = 1
(11)
let 2 [tex]log_{2}[/tex]8 = n , then
[tex]log_{2}[/tex] 8² = n
[tex]log_{2}[/tex] 64 = n
[tex]log_{2}[/tex] [tex]2^{6}[/tex] = n
[tex]2^{6}[/tex] = [tex]2^{n}[/tex]
Since bases on both sides are equal, equate the exponents, that is
n = 6
(12)
[tex]log_{a}[/tex] a³
= 3 [tex]log_{a}[/tex] a
= 3 × 1
= 3
-7[-8-4a]=25+a
A. a= -16
B. a=-5
C. a= -11
D. a=-3
Answers
Answer:
-1.48148148
Step-by-step explanation:
-7 x -8 = 56
-7 x -4a = 28a
25-56=-31
27a/-31
a=-1.48148148
How would you solve absolute value equations with "or" and "and"? Sometimes even with coefficients.
Answers
9514 1404 393
Explanation:
In general, a system of equations has a solution that satisfies all of the equations. That is, the solution set is the intersection (and) of the solution sets of the individual equations in the system. Equations involving the absolute value function are no different.
That being said, you need to consider the meaning of an equation involving the absolute value function.
The function itself is piecewise defined:
[tex]\displaystyle |x|=\left\{ {x, x\ge0} \atop {-x, x<0}} \right.[/tex]
So, any equation involving the absolute value function automatically resolves to two equations, each with its own condition on the function value.
__
Example 1:
|x+1| > 3
is equivalent to the two disjoint conditional equations ...
(x +1) > 3 and (x +1) ≥ 0 . . . . OR
-(x +1) > 3 and (x +1) < 0
the first of these has the solution x > 2; the second of these has the solution x < -4. The solution set of this equation is the OR of the two solution sets:
x < -4 or x > 2
__
Example 2:
|x +1| < 3
is equivalent to the two disjoint conditional equations ...
(x +1) < 3 and (x +1) ≥ 0 . . . . OR
-(x +1) < 3 and (x +1) < 0
The first of these has the solution -1 ≤ x < 2, and the second of these has the solution -4 < x < -1. Again, the solution set of this equation is the OR of the two solution sets. However, we find we can write that union as a single compound inequality:
-4 < x < 2
__
When an absolute value equation involves more than one absolute value function, then the equation will probably resolve into multiple equations, each defined on its own domain. Sometimes keeping those domains straight can be tedious.
Above, we have considered inequalities. If you have an equation, you need to consider that it will likely resolve to two equations. The solution set will be the OR of the solutions to those two equations.
Example 3:
|x +1| = 3
is equivalent to the two conditional equations ...
(x +1) = 3 and (x +1) ≥ 0 . . . . OR
-(x +1) = 3 and (x +1) < 0
The first of these has the solution x = 2; the second has the solution x = -4. The solution set is the OR of these two solutions:
x = -4 or x = 2
__
The "and" condition restricts the domain of each of the individual pieces of the equation. The "or" condition applies to the collection of solutions that may exist in each of those restricted domains.
PLEASE HELP DUE TODAY 20 POINTS!!!
Answers
Answer:
13/12
Step-by-step explanation:
Write an expression to find how many times Jason will blink in 60 minutes if he continues to blink 19 times a minute.
Answers
Leda makes 73 oatmeal muffins for a bake sale. She accidentally drops five of them and throws them away. She puts as many of the remaining muffins as possible into 13 containers so that each container has the same number of muffins. How many of the remaining muffins does Ieda have left over?
Answers
Answer:
She would have 5 muffins left over
Step-by-step explanation:
Do 73-3, because she dropped 3 and threw them awayTake 70 and divide it by 13, there are 70 muffins and 13 containers (I used a calculator)Then you get a decimal (if you use a calculator), look at the whole number which should be 5Next, you multiply 5 by 13, this will allow you to find what you would 'add into' a normal division problem (if you were to do it on paper)Lastly, take 70 and subtract what you got for step for (it should be 65, so the equation would be 70-65)Nemos aquarium is filled with 2400 cm³ of water the base of the aquarium is 20 cm long and 12 cm wide what is the height of the water in Nemo’s aquarium
Answers
Which is the solution to the inequalit? 1/4 +x less than 5/6
Answers
Answer:
x<7/12
Step-by-step explanation:
1/4+x<5/6
1/4+x-1/4 < 5/6-1/4
x<10/12-3/12
x<7/12
1/4 + x < 5/6
Now solve for x
x < 5/6 - 1/4
x < 7/12
Two-thirds of a number plus 5 is greater than 12. find the numbers
Answers
Answer:
21
Step-by-step explanation:
Please make me brainliest and friend request me!
i added a picture : Determine which of the lines, if any, are parallel or perpendicular. Explain.
write an equation of the line that passes through the given point and is perpendicular to the given line.
Answers
Answer:
1. line a and c and parallel. line b is perpendicular with line a and c. 2. line b and c and parallel. line a is perpendicular to lines b and c. 3. y= -3x + 3 4. y=(5/3)x - 9
Step-by-step explanation:
To find parallel and perpendicular, make the slope opposite and find b by plugging in the points. Parallel is the same slope.
the triangle is rotated 90° clockwise around the point (0,0) what will be the coordinates of the image of point L after rotation
Answers
Answer:
help please i need helppppp
Which statement about converting metric units of measurement is true? Use the metric table to help answer the question.
Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
To find the number of hectometers in 87 centimeters, move the decimal point 4 units to the left.
To find the number of meters in 9,382 centimeters, move the decimal point 2 units to the right.
To find the number of kilometers in 6.39 decimeters, move the decimal point 3 units to the left.
To find the number of dekameters in 18 kilometers, move the decimal point 3 units to the right.
Answers
Answer:
To find the number of hectometers in 87 centimeters, move the decimal point 4 units to the left.
Mark me brainliest if I am right...PLEASE
Answer:To find the number of hectometers in 87 centimeters, move the decimal point 4 units to the left.
Step-by-step explanation:
Solve and state any extraneous solutions
Answers
[tex] \frac{3x}{x - 1} + 2 = \frac{3}{x - 1} [/tex]
[tex] \frac{3x}{x - 1} + \frac{2(x - 1) }{ x - 1} = \frac{3}{x - 1} [/tex]
[tex] \frac{3x}{x - 1} + \frac{2x - 2}{ x - 1} = \frac{3}{x - 1} [/tex]
[tex] \frac{3x + 2x - 2}{ x - 1} = \frac{3}{x - 1} [/tex]
[tex]3x + 2x - 2 = 3[/tex]
[tex]5x - 2 = 3[/tex]
[tex]5x = 3 + 2[/tex]
[tex]5x = 5[/tex]
[tex]x = \frac{5}{5} [/tex]
[tex]x = 1[/tex]
Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is . Input numbers and decimal point only, such as 5.8.
Answers
Answer: 2.5-1.4=1.1 your welcome
Answer:
1.1
Explanation:
If you subtract 2.5 by 1.4, you get 1.1
I'VE SAVED THE DAY MARK ME THE BRAINLIEST
the fifth term of an arithmetic progression is 40 and the seventh term is 28 more than the 3rd term. Find the first and 10th term.
Answers
Answer:
Step-by-step explanation:
t5 = a + (5-1)d
t5 = a + 4d
40 = a + 4d
t3 = a + 2*d
t7 = a + 2d + 28 = a + 6d
Start with the seventh term which has 2 equal answers
a + 2d + 28 = a + 6d Subtract a from both sides
2d + 28 = 6d Subtract 2d from both sides
28 = 4d Divide by 4
28/4 = d
d = 7
==================
t5 = a + 4d = 40
a + 4*7 = 40
a = 40 - 28
a = 12
===================
First term is 12
10th term is
t10 = 12 + (10 - 1)*7
t10 = 12 + 9*7
t10 = 75
Interesting question. Thanks for posting