Answers
Answer:
m∠ABD = 24°, m∠CBD = 24°, m∠ABC = 48°
Step-by-step explanation:
3x+6=7x-18
3x-7x=-18-6
-4x=-24
x=24÷4
=6
Hence, ∠ABD = (3x+6)°
= [3(6)+6]°
= (18+6)°
= 24°
Hence, ∠CBD = 24°
Hence, ∠ABC = 24°×2
= 48°
Related Questions
What are the partial products of 8.6 x 9.2
Answers
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
The length of one base of a trapezoid is 7mm less than twice the length of the other base. The height of the trapezoid is 12mm. The area of the trapezoid is 48 square mm. Find the length in millimeters of the longer base. (Please show step by step)
Answers
Answer:
The length of the longer base is 5mm.
Step-by-step explanation:
The area of a trapezoid:
[tex]A=\frac{1}{2}h(b_1+b_2)[/tex]
With the given information, we can write some equations to represent the problem:
[tex]b_1=2b_2-7\\48=\frac{1}{2}(12)(b_1+b_2)[/tex]
There's only 2 equations and 2 variables, so it's a relatively simple system of equations to solve. Ill solve by substitution:
[tex]b_1=2b_2-7\\48=\frac{1}{2}(12)(b_1+b_2)\\\\48=\frac{1}{2}(12)((2b_2-7)+b_2)\\48=(6)(3b_2-7)\\48=18b_2-42\\18b_2=90\\b_2=5[/tex]
Now, plug that back into the first equation to solve for the other variable:
[tex]b_2=5\\b_1=2b_2-7\\\\b_1=2(5)-7\\b_1=10-7\\b_1=3[/tex]
Now we have the measures of both of the bases.
the longer base = 5mmthe shorter base = 3mmTo check that, calculate the area using these bases:
[tex]A=\frac{1}{2}(12)(3+5)\\A=6(8)\\A=48[/tex]
It works fine.
Find its base and height
Answers
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
Help, plz! Math. TYSM IF U DO!
Answers
Answer: 1/16
Step-by-step explanation: ur right:)
possible answers: 1, -1, - 1/7, -2
Answers
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]
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?
Answers
Answer: The answer is C 4:7
Step-by-step explanation:
Hopes this helps
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.
Answers
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!
The masses
m
i
are located at the points
P
i
. Find the center of mass of the system.
m
1
=
1
,
m
2
=
2
,
m
3
=
3
.
P
1
=
(
7
,
8
)
,
P
2
=
(
−
6
,
−
2
)
,
P
3
=
(
−
8
,
5
)
.
Answers
Answer:
XD this is so ez u dont need brainly for this
Step-by-step explanation:
5
please help me thank you
Answers
Answer:
Here's how I'd do it
Step-by-step explanation:
(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.
Answers
Answer:
a: (x2)+10 = 100
Step-by-step explanation:
and if you need an answer, x = 45
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?
Answers
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.
What is 8 82% expressed as a fraction? 8 8 100 7. 80 7 40 8 8. 25. look at pic. plx
Answers
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.
Parallelogram has a base of 9 and height of two thirds what is the area
Answers
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
what fraction is shown on the number line
2/12
10/12
12/2
2/2
Answers
As there are 12 divisions denominator will be 12 only.
While the dot is in second line so numerator is 2.
So, answer is [tex]⇒ \frac{2}{12} \\ [/tex]
WRITE AN EQUATION IN SLOPE INTERCEPT FORM FOR THE PERPENDICULAR TO Y=2X-3 Y=2X-3 PASSES THOUGH THE POINT (-3,-3)
Answers
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 the slope of this line?
-2/3
2/3
3/2
I don’t know
Answers
Answer: 2/3
Step-by-step explanation:
Evaluate f(-3), f(7), f(0), and f(z).
f(x) = –2x + 3
Answers
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
Answers
7. the perimeter of a triangle is 80cm. write and simplify an equation to solve for x.
Answers
Answer:
X = 18
Step-by-step explanation:
(x+3)+(x+3)+(3x-16) = 80
5x-10 = 80
5x = 80+10
5x = 90
x = 90/5
x = 18
hope that helped!
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?
Answers
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.
Learn more about Marked price click;
https://brainly.com/question/28022321
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4. If f(x) = x2, g(x) = 5x, and h(x) = x +4, find each value.
Find h[f(4)].
Answers
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
Please help me!!! I will try to give brainliest!!
Answers
Answer:
_4 to 4 from the number line
simplify 2(3)(3)-2(3)(3)
Answers
Answer:
the answer is 0
Step-by-step explanation:
For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.
Answers
[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’s the slope of the black line
Answers
Answer:
Slope= - 1/2
Step-by-step explanation:
what property is (-9+2) x 0=0
Answers
Answer:
ZERO MULTIPLICATION PROPERTY
Step-by-step explanation:
Anything multiplied by 0 is 0
Rewrite the fraction in the sentence below as a percentage.
The 15 overseas investors own 23/25 of the business.
Answers
Answer:
92%
Step-by-step explanation:
3. Write the ratio of cats to dogs as a fraction in simplest form: then explain its meaning.
Answers
Answer:
4:3
Step-by-step explanation: Im not sure how to explain but i know thats the answer:)
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
Answers
Answer:
rate percent paid by the bank
=2700-2500
=200
Explain solving Slope
Answers
ratio of vertical change between 2 points
