The question provides the measures of two angles, (one of which contains
a variable), and the relationship between the angles.
The value of x is 6 degrees
Reason:
The given parameters are;
The base angles of the isosceles triangles are; 61° and (7·x + 19)°
Required:
To find the value of x
Solution:
By definition of an isosceles triangle, we have;
The base angles of an isosceles triangle are equal, therefore;
(7·x + 19) = 61
Which gives;
[tex]x = \dfrac{61 - 19}{7} = 6[/tex]
The value of x = 6
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The diagram shows a plan for a wheelchair ramp in a shopping Mall. The distance AC is 4 m. calculate the distance AB when BC= 300cm
Answer:500 cm.
Step-by-step explanation:in the picture.
Please give me a brainliest
Solve for y
A 3
B 5
C 2
D 4
Answer:
y = 4
Step-by-step explanation:
The three lines means those segments are equal
4y+8 = 24
Subtract 8 from each side
4y+8-8 = 24-8
4y = 16
Divide each side by 4
4y/4 = 16/4
y = 4
Question 1 (2 points)
(01.02
What is the product of 0.51 0.24? (2 points)
1) 0.1224
2) 1.124
3) 11.24
4) 1124
Answer:
0.52 x 0.24 means "about a half times 0.24". Given the multiple choice answers, the correct answer is therefore 0.1224 (since this is the only one smaller than 0.24).
Proof:
0.50 × 0.24 = 0.12
0.01 × 0.24 = 0.0024
And therefore 0.51 × 0.24 = 0.12 + 0.0024 = 0.1224
Step-by-step explanation:
There are 28 students in a class. 13 of the students are boys. Two students from the class are chosen at random. a) If the first person chosen is a boy, what is the probability that the second chosen is also a boy? Answer in fraction
Using the probability concept, it is found that there is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.
A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, supposing that the first person chosen is a boy:
There will be 27 students.Of those, 12 are going to be boys.Hence:
[tex]p = \frac{12}{27} = \frac{4}{9}[/tex]
There is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.
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F(0)=4-8x indicate value
Answer:
f(0) = 4
Step-by-step explanation:
F(x) = 4-8x
We know that f(0) = 4-8x
Thus we sub 0 for the x value, resulting in;
f(0) = 4-8(0)
f(0) = 4-0
f(0) = 4
You buy 6 items for $25.60. About how much did you spend?
Answer:
$4.20 i divided
Step-by-step explanation:
Answer:
156
Step-by-step explanation:
The question says about. So you have to Round 25.60. Since the 0.60 part is greater than 0.50, we round it up to 1. Now add 25 and 1 to get 26. Now multiply 26 x 6 to get your answer (156)
Mya says the value of 6 in 0.006 is 1-10 of the value of 6 in 0.6. Is the correct?
Answer:
no, it is incorrect it is 1-100 the value
Step-by-step explanation:
0.006×10= 0.06
0.006×100=0.6
Find the distance from point A (-1/4,5)
to the line - x + 2y = 14. Round your answer to the nearest tenth.
Answer:
1.7 (units).
Step-by-step explanation:
1) if the point A has (-0.25;5) and the equation of the given line is -x+2y=14 (Ax+By+C=0), then the required distance can be calculated according to the formula:
[tex]d=\frac{Ax_0+By_0+C}{\sqrt{A^2+B^2} }[/tex] , where A, B and C belong to the given line, x₀, y₀ - coordinates of the given point;
2) A=-1, B=2, C=-14 and x₀=-0.25, y₀=5, then according to the formula above:
[tex]d=|\frac{0.25+5*2-14}{\sqrt{4+1}}|=\frac{3.75}{\sqrt{5}}=\frac{3.75}{2.2}=1.7[/tex]
Please help!!!!!
answer options
a) slope of Function B =2 x slope of Function A
b) slope of Function A = slope of Function B
c) slope of Function A =2 x slope of Function B
d) slope of Function B = - slope of Function A
which of the binomials below is a factor of this trinomial?
x² + 2x - 35
Answer:
(x-5)(x+7)
Step-by-step explanation:
They're the factors of the trinomial x^2+2x-35
Help me I don't understand
Answer:
For first equation: it would be 5^2 which is 25 so 25 - 9 = 16 then 2(4 - 3) = 2 x 4-3 = 2 x 1 = 2 so 16 divided by 2 = 8
Find (i) x ,y ,z and w (ii) x + y + z + w
Please lemme know with explanation
Answer:
x = 60°, y = 100°, z = 120°, w = 80°
Step-by-step explanation:
x and 120° are adjacent angles on a straight line and sum to 180°
x + 120° = 180° ( subtract 120° from both sides )
x = 60°
Similarly
y + 80° = 180° ( subtract 80° from both sides )
y = 100°
and
z + 60° = 180° ( subtract 60° from both sides )
z = 120°
--------------------------------------------------------------------
The sum of the interior angles in a quadrilateral = 360°
sum the interior angles of the quadrilateral and equate to 360°
60° + 80° + 120° + 4th angle = 360°
260° + 4th angle = 360° ( subtract 260° from both sides )
4th angle = 100°
w and 100° are adjacent angles on a straight line and sum to 180° , so
w + 100° = 180° ( subtract 100° from both sides )
w = 80°
if M is a multiple of 3 and 7 then it is a multiple of 21
Answer:
It will be true , it is a multiple of 21
Please help I would be very grateful
Two numbers are in the ratio 7: 4 . If they differ by 15 ,the numbers are
Lets take 7:4 be 7x and 4x
7x - 4x = 15
3x = 15
x = 5
______________________________
7x = 7 × 5 = 35
4x = 4 × 5 = 20
Subtract the linear expressions. (−2.6x+4.2)−(3.9x+2.5) What is the difference? Enter your answer in the box.
Answer:
-13x/2+1.7
Step-by-step explanation:
The difference of the given expression is - 6.5 x + 1.7.
Given that, (−2.6x+4.2)−(3.9x+2.5).
What is the subtraction of expressions?To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.
Now, (−2.6x+4.2)−(3.9x+2.5)
= (-2.6x-3.9x)+4.2-2.5
= - 6.5 x + 1.7
Therefore, the difference of the given expression is - 6.5 x + 1.7.
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i need help to a can get an A
Answer:
See below:
Step-by-step explanation:
We can use the Pythagorean Theorum to find out the missing side because we have a 90 degree right angle and 2 sides already given to us.
The Pythagorean Theorem states that a^2 + b^2 = c^2
a in this case would be the shortest side,
b in this case would be the 2nd longest side,
c is the hypotenuse.
[tex]a^{2} + b^{2}= c^{2} \\a^{2} + 15^{2} = 17^{2}[/tex]
If we solve this, we get 8!
Cheers!
what is the answer to 7 1/3 + 5 4/5
Answer:
13 2/15
Step-by-step explanation:
see if you can solve for y
y-4=3
Answer:
And y = 7?
Step-by-step explanation:
bob has some 10 lb weights and 3 lb weights. together, all his weights add up to 50 lb. if x represents the number of 10 lb weights, which equation can be used to find the number of each type of weight bob has ?
Solve 48x - 30 = 30 + 78x
A car is traveling at a rate of 99 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers will the car travel in 15 minutes? Do not round your answers.
Answer:
it is going 1.65 kilometers per minute and it will travel 24.75 kilometers in 15 minutes
Step-by-step explanation:
SHOW YOUR WORK FOR CREDIT!
2. 9(1 − 3n)
A) 3n + 35
B) −5n + 35
C) −5n − 10
D) 9 − 27n 3)
Rosie Belin worked these total weekly hours in four weeks of work: 45, 38, 42, and 43. Her job pays $14 for each hour worked. What AVERAGE gross pay did she earn per week for these four weeks of work?
Answer:
Add the total number of hours in the four weeks and multiply that with the hourly pay rate to find the total gross pay. Divide the total gross pay by 4 to find the weekly average gross pay. An employee may earn income from various sources. The total income is the sum of all the earnings and is called as.
=727
Can someone actually help and not delete their answer I rlly need your help I’ll make u brainliest or whatever
Answer:
p = -30 + 20
Hope this helps!
Can someone please help me with this problem
Answer:
Both of them are correct.
Step-by-step explanation:
Both of them are correct.
EQ. 1) y = -2x + 3
EQ. 2) 6x + 3y = 9
Transform EQ. 2 into its slope-intercept form, y = mx + b:
6x + 3y = 9
6x - 6x + 3y = -6x + 9
3y = -6x + 9
3y/3 = (-6x + 9)/3
y = -2x + 3 (As you can see, Equation 2 is equivalent to Equation 1's).
Given that Equations 1 and 2 are equivalent, their lines will coincide on top of each other (as if they're the same line) once graphed.
Therefore, the systems of linear equations will have infinitely many solutions.
Let's see why Charles and Destiny are both correct with their claims.
If you plug in Charles' coordinates (3, -3) in both equations,
EQ. 1) y = -2x + 3
-3 = -2(3) + 3
-3 = -6 + 3
-3 = -3 (True statement)
EQ. 2) 6x + 3y = 9
6(3) + 3(-3) = 9
18 - 9 = 9
9 = 9 (True statement)
Do the same thing for Destiny's coordinates: (-1, 5)
EQ. 1) y = -2x + 3
5 = -2(-1) + 3
5 = 2 + 3
5 = 5 (True statement)
EQ. 2) 6x + 3y = 9
6(-1) + 3(5) = 9
-6 + 15 = 9
9 = 9 (True statement)
With these calculations, it shows that both of their coordinates are solutions to the given systems of linear equations.
Find the slope of the y intercept of the graph linear equation 2x+y=7
2x+y=7
-2x -2x
y=-2x+7
slope of -2
Hope this is right, feel free to correct me in the comments
Answer:
-2
nsskwiwkwnwhsisnenwnwjw w w
what is the slope of the line through -7,-8 and (0,4)?
Answer:
A: 12/7
Step-by-step explanation:
p is a degree 3 polynomial with p ( 0 ) = 22.08 and zeros 2 and 4 i . Find an equation for p with only real coefficients (i.e. no i in your equation).
Use x as your input, and round all answers to 2 decimal places as needed.
Answer:
P(x) = -0.69x³ + 2.76x² - 11.04x + 44.16Step-by-step explanation:
Let P(x) is the function with zero's 2 and 4i.
It has to have one more zero since it is of degree 3. This is a conjugate of 4i and is -4i.
The function has the shape of:
P(x) = a(x - 2)(x - 4i)(x + 4i)And we have P(0) = 22.08
Let's substitute and find the value of a:
22.08 = a(0 - 2)(0 - 4i)(0 + 4i)22.08 = a(-2)(-4i)(4i)22.08 = a(-2)(-16i²)22.08 = a(-32)a = - 22.08/32a = - 0.69The function is now:
P(x) = -0.69(x - 2)(x - 4i)(x + 4i)
= -0.69(x - 4)(x² + 16)
= -0.69(x³ - 4x² + 16x - 64)
= -0.69x³ + 2.76x² - 11.04x + 44.16
4y²=49 solve the equation
[tex]4y ^{2} = 49 \\ = > {y}^{2} = \frac{49}{4} \\ = > {y} = \sqrt{ \frac{49}{4} } \\ = > y = \frac{ \sqrt{49} }{ \sqrt{4} } \\ = > y = \frac{7}{2} \\ = > y = 3.5[/tex]
Answer:y = 3.5