Answer:
∠ BXC = 70°
Step-by-step explanation:
∠ XBC and ∠ AXY are corresponding angles and are congruent, then
∠ XBC = 55°
Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.
∠ BXC = 180° - (55 + 55)° ← angle sum of triangle
∠ BXC = 180° - 110° = 70°
A linear function contains the points (-3, -7) and (6,-4). Which of the following points does it also include?
A.(-9,3)
B.(3,-6)
C.(12,2)
D.(9,-3)
The given points defines a line from which the linear function can be
determined and the included point on the line can be found.
The point also included on the line is D. [tex]\underline {(9, \, -3)}[/tex]
Reasons:
The given points on the linear function are; (-3, -7), (6, -4)
The slope of the line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, we get;
[tex]Slope, \, m =\dfrac{-4-(-7)}{6-(-3)} = \dfrac{1}{3}[/tex]
The equation of the function is therefore;
[tex]y - (-4) = \dfrac{1}{3} \cdot (x - 6)[/tex]
[tex]y = \dfrac{x}{3} - 6[/tex]
Graphing the above equation on the calculator gives the points;
(-9, -9), (3, -5), (12, -2), and (9, -3)
Therefore;
The point also included on the line is D. [tex]\underline {(9, \, -3)}[/tex]
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Find its base and height
Area of parallelogram = 96 square miles
Base = x + 5
Height = x - 5
[tex]x + 5 \times x - 5 = 96 \\ 2x - 0 = 96 \\ x = \frac{96}{2} \\ x = 48[/tex]
Height = 48 - 5 = 43
Base = 48 + 5 = 53
4. If f(x) = x2, g(x) = 5x, and h(x) = x +4, find each value.
Find h[f(4)].
Step-by-step explanation:
f(x) = x²
g(x) = 5x
h(x) = x + 4
= h[f(4)]
= x + 4
= f(4) + 4
= (4)² + 2
= 16 + 2
= 18
h[f(4)] = 18
simplify 2(3)(3)-2(3)(3)
Answer:
the answer is 0
Step-by-step explanation:
which expressions are equivalent to 4^-2 times 7^-2
Step-by-step explanation:
[tex] = {4}^{ - 2} \times {7}^{ - 2} [/tex]
[tex] = {(4 \times 7)}^{ - 2} [/tex]
[tex] = {28}^{ - 2} [/tex]
[tex] = \frac{1}{ {28}^{2} } [/tex]
Please help me!!! I will try to give brainliest!!
Answer:
_4 to 4 from the number line
A map has a scale of 1:5000 cm, On the map a rectangle plot of land measures 30.5 cm and 23.5 cm.
what is the actual perimeter of the plot of land in meters?
please explain and answer the question correctly ☺ thank you.
Answer:
5,400 meters
Step-by-step explanation:
Perimeter of a rectangle = 2(l+w)
2(30.5+23.5) = 54
54 · 5,000 = 540,000 cm
540,000 cm = 5,400 m
I hope this helps!
What is the slope of this line?
-2/3
2/3
3/2
I don’t know
Answer: 2/3
Step-by-step explanation:
3. Write the ratio of cats to dogs as a fraction in simplest form: then explain its meaning.
Answer:
4:3
Step-by-step explanation: Im not sure how to explain but i know thats the answer:)
(a) Pei has x dollars, when she passed her exam, her dad doubled her money and mum gave another $10. Altogether she got $100. i) Write a mathematical equation for this.
Answer:
a: (x2)+10 = 100
Step-by-step explanation:
and if you need an answer, x = 45
Parallelogram has a base of 9 and height of two thirds what is the area
Answer:
Area or parallelogram = base * height
Area = 9 units * 2/3 units
Area = 9/1 * 2/3 square units
Area = 18/3 square units
Area = 6 square units
Answer: area = 6 square units
Identify the set of ordered pairs that represents y as a function of x.
{(0, 0), (1, 1), (2, 3), (3, 3)}
{(0, 0), (0, 1), (2, 3), (3, 4)}
{(1,0), (2, 0), (3, 3), (3, 4)}
2,0)3
{(-1,0), (1, 0), (3, 0), (3, 4)}
Please help asap
Alex spends 40 minutes on his paper route every day. If he earns $6 a day from his paper route, how much does he get paid per hour?
Answer:
$9
Step-by-step explanation:
There are 60 minutes in an hour, and you have to multiply 40 by 1.5. Doing this, you would also have to multiply $6 by 1.5, getting $9 per hour.
what property is (-9+2) x 0=0
Answer:
ZERO MULTIPLICATION PROPERTY
Step-by-step explanation:
Anything multiplied by 0 is 0
What’s the slope of the black line
Answer:
Slope= - 1/2
Step-by-step explanation:
a factory made 39 jars of creamy peanut butter and 61 jars of chunky peanut butter. what percentage of the jars of peanut butter were creamy?
Answer:
39+61= 100 total peanut butter jars
39 out of 100 is 39%
Step-by-step explanation:
Therefore 39% of the peanut butter jars were creamy.
Anna put 2500 in the bank and left it for 2 years. At the end of the 2 years she found that she had 2700. What is the annual rate percent paid by the bank
Answer:
rate percent paid by the bank
=2700-2500
=200
possible answers: 1, -1, - 1/7, -2
Answer:
B it's -1 and the reason why I know is because trust me
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{3^2 - 2^3}{3\times5-4^2}}[/tex]
[tex]\mathsf{= \dfrac{9 - 8}{3\times5-4^2}}[/tex]
[tex]\mathsf{= \mathtsf{\dfrac{1}{3\times5-4^2}}}[/tex]
[tex]\mathsf{= \dfrac{1}{15 - 4^2}}[/tex]
[tex]\mathsf{= \dfrac{1}{15 - 16}}[/tex]
[tex]\mathsf{= \dfrac{1}{-1}}[/tex]
[tex]\mathsf{\rightarrow 1\div -1}[/tex]
[tex]\mathsf{= -1}[/tex]
[tex]\huge\boxed{\star\text{Therefore, your answer is: \boxed{\mathsf{Option\ B. -1} \ }}\star}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
n = 8
measurements: 4, 3, 6, 7, 5, 5, 4, 6
Calculate the mean.
Answer:
5
Step-by-step explanation:
mean=4+3+6+7+5+5+4+6/8mean=40/8mean =5Help, plz! Math. TYSM IF U DO!
Answer: 1/16
Step-by-step explanation: ur right:)
Rewrite the fraction in the sentence below as a percentage.
The 15 overseas investors own 23/25 of the business.
Answer:
92%
Step-by-step explanation:
HELP PLEASE!
what are the solutions of the equation (x-2)^2=3x+6
Answer:
B. x -2
Step-by-step explanation:
The factors of (x -2)^2 are (x -2), twice.
The factors of -3x +6 are -3 and (x -2):
-3x +6 = -3(x -2)
The expression that is a factor of both is ...
x -2
WRITE AN EQUATION IN SLOPE INTERCEPT FORM FOR THE PERPENDICULAR TO Y=2X-3 Y=2X-3 PASSES THOUGH THE POINT (-3,-3)
Step-by-step explanation:
The slope of the line [tex]y = 2x - 3[/tex] is 2, which means that a line perpendicular to this will have a slope equal to its negative reciprocal or [tex]m = -\frac{1}{2}.[/tex] So we can write the slope-intercept form of the line's equation as
[tex]y = -\frac{1}{2}x + b[/tex]
To find the value of b, we use the value of the given point (-3, 3):
[tex]\Rightarrow 3 = -\frac{1}{2}(-3) + b[/tex]
Solving for b, we get
[tex]b = \frac{3}{2}[/tex]
Therefore, the slope-intercept form of the equation for the perpendicular line is
[tex]y = -\frac{1}{2}x + \frac{3}{2}[/tex]
What is 8 82% expressed as a fraction? 8 8 100 7. 80 7 40 8 8. 25. look at pic. plx
Answer:
7/80
so basically;
convert 3/4 to a decimal = 0.75
8.75% and convert to fraction = 7/80.
9514 1404 393
Answer:
(b) 7/80
Step-by-step explanation:
As a decimal
8 3/4% = 0.0875 = 875/10000 = (125×7)/(125×80) = 7/80
__
As a fraction
8 3/4% = (8 3/4)/100 = (35/4)/100 = 35/400 = 7/80
_____
Additional comment
The symbol % is fully equivalent to the division /100. That is why we can replace (8 3/4)% with (8 3/4)/100.
please help me thank you
Answer:
Here's how I'd do it
Step-by-step explanation:
Explain solving Slope
ratio of vertical change between 2 points
For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.
[tex]\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\[/tex]
.
[tex]\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276[/tex]
.
[tex]\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}[/tex]
What are the partial products of 8.6 x 9.2
Answer:
79.12
Step-by-step explanation:
1st number has 1 decimal places.
2nd number has 1 decimal places.
So 2 decimal places will apper in the final answer.
× 80 6 sum
90 7200 540 7740
2 160 12 172
sum 7360 552 7912
Remember the decimal places!
Final answer: 79.12
At Handy Hardware Shop's annual spring-cleaning sale, every ratchet set in the shop gets marked down. Austin purchased 2 ratchet sets during the sale: one for himself and one to give to his dad on Father's Day. Each ratchet set cost $8 less than its full price. He paid a total of $56. What is the cost of each ratchet set at full price?
Answer:
answer is 36
Step-by-step explanation:
The cost of each ratchet set at full price was $36.
Given that in a sale a ratchet set cost $8 less than its full price. Austin paid a total of $56.
We to find the cost of each ratchet set at full price,
Let's denote the cost of each ratchet set at full price as "x" dollars.
According to the information given, each ratchet set was marked down by $8, so their sale price would be (x - $8) dollars each.
Austin purchased 2 ratchet sets, so the total cost of his purchase would be:
2 (x - $8) = $56
Now we can solve for "x":
2 (x - $8) = $56
2x - $16 = $56
2x = $56 + $16
2x = $72
x = $72 / 2
x = $36
So, the cost of each ratchet set at full price was $36.
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Mr. Smith asked his students whether they prefer to go to the museum or the zoo for a field trip. He found that 35% of the students prefer to go to aa museum, 45% prefer to go to the zoo, and the rest have no preference. What is the Ratio of students who have no preference to the students who prefer to go to the museum?
Answer: The answer is C 4:7
Step-by-step explanation:
Hopes this helps
