Answer:
SAS
Step-by-step explanation: every triangle contains a total of 180 degrees if you substract 180 by 60+70(which is 130) you would get 50 degrees which is the exact degree missing in the first triangle, so after confirming that both triangles have an equal degrees on each side the answer would be SAS (which stands for Side-Angle-Side), SAS is the answer you would give to triangles that are congruent(equal)
Show all work to multiply (3+ Square root of -16)(6- square root of -64)
Answer:
1042-96i
Step-by-step explanation:
(3 + 16i)(6 - 64i)
6(3 + 16i)(3 - 32i)
(6) 9 - 96i + 48i +1024
Find the area of the triangle from the coordinate plane.
Y
A
10-
5-1
с
B.
0
-20
-15
-10
-5
Answer:
Find the area of the triangle from the coordinate plane.
Y
A
10-
5-1
с
B.
0
-20
-15
-10
-5Step-by-step explanation:
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
Can somebody help me please?!!
Answer:
Step-by-step explanation:
How can I solve this problem
Answer:
x = 27
Step-by-step explanation:
I'm going to use letters to label the parts of the triangle while explaining how to solve for x:
Angle A = x (bottom left angle of the triangle)
Angle B = 4x (top angle of the triangle)
Angle C = empty angle (bottom right angle of the triangle)
Angle D = 3x + 54 (angle outside of the triangle)
A line has a angle measurement of 180 degrees.
Angle C & D make up the line, meaning Angle C + Angle D = 180 degrees.
To find Angle C, we would subtract Angle D's equation from 180 like this:
180 - (3x + 54)
Now Angle C equals 180 - (3x + 54)
Now we have all the angles inside the triangle. To find x, we are going to sum up Angle A, B, & C and set it equal to 180.
We set the equation to 180 because a the sum of the interior angles for a triangle is 180.
The equation looks like this:
(180 - (3x + 54)) + 4x + x = 180
Now we use basic algebra to solve it:
(180 - (3x + 54)) + 4x + x = 180
(distribute the - to (3x + 54))
180 - 3x - 54 + 4x + x = 180
(add like terms on the left side of the equation)
126 + 2x = 180
(subtract 126 from both sides)
2x = 54
(divide both sides by 2)
x = 27
To prove this answer is correct, plug it back in the original equation and you'll see that it ends up equaling 180, which is the sum of interior angles for triangle.
Hope it helps (●'◡'●)
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
A baseball league is holding registration for both a men's league and a women's league. Only a total of 400 players can register, and each team consists of exactly 10 players. If 24 women's teams have already registered, which inequality could be used to find m, the number of men's teams that can register?
A.
24(10) + 10m < 400
B.
24(10) + 10m > 400
C.
24(10 + 10m) > 400
D.
24(10 + 10m) < 400
15 / √31 - 4
can someone just solve this for me please
PLEASE ANSWER ONLY IF YOU ARE SURE else I am out of the class
Answer:
[tex]\frac{15}{ \sqrt{31} - 4}} = \sqrt{31} + 4[/tex]
Step-by-step explanation:
[tex]\frac{15}{\sqrt{31} - 4}\\\\=\frac{15}{\sqrt{31} - 4} \times \frac{\sqrt{31} + 4}{\sqrt{31}+ 4} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ rationalizing \ the \ denominator \ ]\\\\=\frac{15( \sqrt{31} + 4 )}{(\sqrt{31})^2 - (4)^2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ (a-b)(a+b) = a^2 - b^2 \ ]\\\\=\frac{15 ( \sqrt{31} + 4)}{31 - 16}\\\\=\frac{15 (\sqrt{31} + 4)}{15}\\\\= \sqrt{31} + 4[/tex]
Can someone help with 3 and 9
Answer:
9= 512m/1000m
SIMPLIFY IT
Step-by-step explanation:
Si el largo de un rectángulo mide el doble del ancho que es "a", ¿cuál es su área?
Answer:
El área es 2 veces el cuadrado del ancho del rectángulo.
Step-by-step explanation:
El área de un rectángulo viene dado por:
[tex] A = a*l [/tex]
En donde:
a: es el ancho
l: es el largo
Si el largo es el doble del ancho:
[tex] l = 2a [/tex]
Entonces el área es:
[tex] A = a*l = a*(2a) = 2a^{2} [/tex]
Por lo tanto, el área es 2 veces el cuadrado del ancho del rectángulo.
Espero que te sea de utilidad!
which describes the graph of y=-(x+5)^2+3
Answer:
Maximum at (-5, 3)
Step-by-step explanation:
The quadratic equation is in vertex form, which specifically shows the vertex.
Since the a is negative, you get a maximum y value of 3.
Vertex form: y=a(x-h)^2+k
Using the slot method calculate the probability that you would roll 3 sixes
(d) Statement one: Two adult tickets and three children tickets cost $43.00
Statement two: One adult ticket and one ticket for a child cost $18.50
(i) Let x represent the cost of an adult ticket and y the cost of a ticket for a child.
Write TWO equations in x and y to represent the information. (2mks)
(ii) Solve the equation to determine the cost of an adult ticket
Answer:
The cost of an adult ticket is $12.50
Step-by-step explanation:
The given information are;
The cost of two adult tickets and three children tickets = $43.00
The cost of one adult ticket and one child ticket = $18.50
Whereby the cost of an adult ticket is represented by x and the cost of a child's ticket is represented by y, we get the following two simultaneous equations;
2·x + 3·y = 43.00...(1)
x + y = 18.5...(2)
(ii) Multiplying equation (2) by 2 and subtracting the result from equation (1) gives;
2·x + 3·y - 2×(x + y) = 43 - 2×18.5 = 6
2·x - 2·x + 3·y - 2·y = 0 + y = 6
∴ y = 6
The cost of each the children ticket = $6.00
From equation (2), where y = 6, we get;
x + y = 18.5
∴ x + 6 = 18.5
x = 18.5 - 6 = 12.5
The cost of an adult ticket, x = $12.50.
A tower is 543m from your house. The angle of elevation to the top of the tower is 33.4°. How high is the tower?
Answer:
358
Step-by-step explanation:
the step by step is in the photo so look at it
is y=9x proportinal?
Answer:
yeah it is
y is directly proportional to x
proportionality constant is 9
Convert
[−1,∞) to inequality notation use the variable x.
Answer:
[tex]-1\leq x<\infty[/tex]
Step-by-step explanation:
We want to convert the interval [-1, ∞) to inequality notation using x as the variable.
The interval [-1, ∞) reads: "All real numbers between -1 and positive infinity."
In other words, it is all numbers greater than or equal to -1 and less than positive infinity.
Therefore:
[tex]-1\leq x<\infty[/tex]
Note that we do not use "or equal to" for the infinity as we can never really "equal" infinity.
Which expressions are equivalent to 2 Superscript 5 times 2 Superscript 4? Check all that apply.
Note: Consider the given figure attached with this question.
Given:
The expression is:
[tex]2^5\times 2^4[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]2^5\times 2^4[/tex]
It can be written as:
[tex]2^5\times 2^4=2^{5+4}[/tex]
[tex]2^5\times 2^4=2^{9}[/tex]
So, option A is correct and option B is incorrect.
Similarly, in options C, D, E,
[tex]2\cdot 2^9=2^{10}[/tex]
[tex]2^{10}\cdot 2^2=2^{12}[/tex]
[tex]2^{-2}\cdot 2^{11}=2^{9}[/tex]
So, options C and D are incorrect but option E is correct.
The given expression can be written as:
[tex](2\cdot 2\cdot 2\cdot 2\cdot 2)\cdot (2\cdot 2\cdot 2\cdot 2)[/tex]
So, option F is correct.
Therefore, the correct options are A, E F.
A circle has a diameter with endpoints (-8,2) and (-2,6). What is the equation of the circle?
Answer:
the equation would be (x+5)2+(y−4)2=r2
Step-by-step explanation:
The equation would be
(x+5)2+(y-4)2=r2
Evaluate function from their graph
Answer:
f(-5) = 7
Step-by-step explanation:
f(-5) means find the y value when x = -5
y = 7 when x = -5
the question is in the photo
[tex]\displaystyle\bf 3x+7\geq 52 \ ; \ x>15 \\\\3x\geq 45\\\\x\geq 15 \ \ \ and \ \ \ x>15[/tex] here is a contradiction because in one inequality x can be equal to 15 ; and in the other it cannot
How many ways are there to put 9 differently colored beads on a $3\times3$ grid if the purple bead and the green bead cannot be adjacent (either horizontally, vertically, or diagonally), and rotations and reflections of the grid are considered the same
Answer:
20,160
Step-by-step explanation:
The arrangement of the 9 differently colored bead can be presented as follows;
[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Where 1 is the purple bead and 2 is the green bead, the number of ways of arrangement where the green bead cannot be adjacent to the green either horizontally, vertically, or diagonally
Placing the purple bead at 1, the location of the green bead = 3, 6, 7, 8, or 9
The number of ways = 5 ways × 7! ways of arranging the other beads
With the purple bead at 2, the location of the green bead = 7, 8, or 9
The number of ways = 3 × 7!
With the purple at 3, we also have 5 × 7! ways
At 4, similar to 2, we have, 3 × 7! ways
At 5, we have, 0 × 7!
At 6, we have 3 × 7!
For 7, 8, and 9, we have, (5 + 3 + 5) × 7!
The total number of ways = (5 + 3 + 5 + 3 + 0 + 3 + 5 + 3 + 5) × 7! ways
However, placing the purple bead at 1, 2, 3, 4, 6, 7, 8, and 9, (8 positions) can be taken as reflection and rotation of each other and can be considered the same
Therefore, the total number of acceptable ways = (5 + 3 + 5 + 3 + 0 + 3 + 5 + 3 + 5) × 7!/8 = 20,160 ways
Which is the equation of a line perpendicular to the line with the equation: y = −14x + 7
y = -4x - 7
y = 4x + 2
y = 14x − 12
y = −14x + 3
Please help me with this
Answer:
x = 23
Step-by-step explanation:
if line j is parallel to line k then
5x + 9 + 33 + x = 180 add like terms
6x + 42 = 180 subtract 42 from both sides
6x = 138 divide both sides by 6
x = 23
Please help me ASAP!!!
Answer:
27 cm²
Step-by-step explanation:
The surface area is the area of the square plus the area of the 4 congruent triangles.
area of square = 3² = 9 cm²
area of 1 triangle = [tex]\frac{1}{2}[/tex] × 3 × 3 = 4.5 cm²
area of 4 triangles = 4 × 4.5 = 18 cm²
Total surface area = 9 + 18 = 27 cm²
Step-by-step explanation:
SA of a pyramid
=L(2h+L)
=3(2(3)+3)
=3(9)
=27cm^2
what is the equation of the circle shown in the graph?
Answer:
(x + 6)² + (y - 4)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 6, 4 ) and r = 3 , then
(x - (- 6) )² + (y - 4)² = 3² , that is
(x + 6)² + (y - 4)² = 9
Help and explain !!!!!
Answer:
yeah the answer is one of those just pick one
A store purchased a plasma screen TV and marked it up 95% from the original cost of $876.08. A week later, the
store placed the TV on sale for 70% off. What was the discount price?
Answer:
95%-70%=15%
$876.08×15% =$131.412
Answer:
512.51
Step-by-step explanation:
Hope this helps! :)
Which of the following values are in the range of the function graphed below?
Check all that apply.
O B. -1
O C. 5
D. 2
E. 1
Answer:
I believe the answer should be 0 to -1
Step-by-step explanation:
the range of a function is the lowest y value to the highest y value of that function. so in that example, the lowest y value you have on that curved line is at 0, and the highest y value you have on that curved line is 1, so the range should be from 0 to 1, or {0, 1}.
8^5 = 2^2m+3
Solve m
Answer:
[tex]m=6[/tex]
Step-by-step explanation:
Exponent properties:
We can use exponent property [tex]a^{b^c}=a^{(b\cdot c)}[/tex] to solve this problem.
Rewrite [tex]8[/tex] as [tex]2^3[/tex], then apply exponent property [tex]a^{b^c}=a^{(b\cdot c)}[/tex] to simplify:
[tex]2^{3^5}=2^{2m+3},\\2^{15}=2^{2m+3}[/tex]
If [tex]a^b=a^c[/tex], then [tex]b=c[/tex], because of log property [tex]\log a^b=b\log a[/tex]. Using this log property, you can take the log of both sides and divide by [tex]\log a[/tex] to get [tex]b=c[/tex]
Therefore, we have:
[tex]15=2m+3[/tex]
Subtract 3 from both sides:
[tex]12=2m[/tex]
Divide both sides by 6:
[tex]m=\frac{12}{2}=\boxed{6}[/tex]
Alternative:
Given [tex]8^5=2^{2m+3}[/tex], to move the exponent down, we'll use log properties.
Start by simplifying:
[tex]\log 32,768=2^{2m+3}[/tex]
Take the log of both sides, then use log property [tex]\log a^b=b\log a[/tex] to move the exponent down:
[tex]\log(32,768)=\log 2^{2m+3},\\\log (32,768)=(2m+3)\log 2[/tex]
Divide both sides by [tex]\log2[/tex]:
[tex]2m+3=\frac{\log (32,768)}{\log(2)}[/tex]
Subtract 3 from both sides:
[tex]2m=\frac{\log (32,768)}{\log(2)}-3[/tex]
Divide both sides by 2:
[tex]m=\frac{\log (32,768)}{2\log(2)}-\frac{3}{2}=\boxed{6}[/tex]
mila first stands on a diving board is 3 feet above surface of the water .she then dives to the bottom of the pool to a depth of 10 feet
Answer:
She Dives 13 Feet
Step-by-step explanation:
3+10=13
Mila's depth from the diving board to the bottom of the pool is 13 feet.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Mila first stands on a diving board 3 feet above the surface of the water .she then dives to the bottom of the pool to a depth of 10 feet.
The total depth will be calculated as below:-
Depth = 3 + 10
Depth = 13 feet
Therefore, Mila's depth from the diving board to the bottom of the pool is 13 feet.
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