JKL is a straight line.
JK = KL = KM.
Angle KLM = 58°
Work out the size of the angle marked x.
Give a reason for each stage of your working.
КІ
Х
M
I
580
L
Total marks: 4
Matha Watch Lid
Terms
Answers
Answer:
x = 32°
Step-by-step explanation:
∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.
m<KML = m<KLM = 58°
m<MKL = 180 - (58 + 58) (Sum of triangle)
m<MKL = 64°
m<JKM = 180 - m<MKL (linear pair theorem)
m<JKM = 180 - 64 (Substitution)
m<JKM = 116°
∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.
Thus:
x = ½(180 - m<JKM)
x = ½(180 - 116) (Substitution)
x = 32°
Related Questions
Р
Calculator
13 cm
What is the measure of angle R?
5 cm
Enter your answer as a decimal in the box. Round only your
final answer to the nearest hundredth.
Q
12 cm
R
m
Answers
Answer:
m<R ≈ 22.62°
Step-by-step explanation:
Reference angle = R
Side opposite to R = 5 cm
Adjacent side length = 12 cm
Thus, applying TOA, we have:
Tan R = opp/adj
Tan R = 5/12
R = tan^{-1}(5/12)
R ≈ 22.62° (nearest hundredth)
Answer:22.61
Step-by-step explanation:
22.61
what is the length of YZ
Answers
Answer:
13 is the answer
Step-by-step explanation:
Answer:
YZ is 4+√55 cm.
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
[tex]3^2+b^2=5^2[/tex]
[tex]9+b^2=25[/tex]
[tex]b^2=16\\b=4[/tex]
[tex]a^2+b^2=c^2\\3^2+b^2=8^2\\9+b^2=64\\b^2=55\\b=\sqrt{55}[/tex]
4+√55
in town 35% of 15 000 voters did not cast vote in election How many people cast their votes?
Answers
Let p = number of people that cast their vote.
p = 0.35(15, 000)
p = 5,250
What is 10.4+500-10
I NEED YOUR HELP NOW !!!!!!!!
Answers
Answer:
500.4
Step-by-step explanation:
10.4+500=510.4
510.4-10=500.4
Five friends are sharing 7 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
Answers
Answer:
1.4
Step-by-step explanation:
7 ÷ 5 = 1.4 or 7/5 as a fraction
Complete the Area Model that would be used to multiply
4x(x² + 2x +3)
Answers
Answer:
16x^3 + 8x^2 + 12x
Step-by-step explanation:
Given the product 4x(x^2+2x+3)
On Expanding
4x(x^2+2x+3)
= 4x(x^2)+4x(2x)+4x(3)
= 16x^3 + 8x^2 + 12x
Hence the Area of the model is 16x^3 + 8x^2 + 12x
The area model is as follows:
4x × (x²) = 4x³
4x × (2x) = 8x²
4x × (3) = 12x
The area model that will be use to multiply 4x(x² + 2x +3) is as follows:
4x(x² + 2x +3)4x × (x²) = 4x³
4x × (2x) = 8x²
4x × (3) = 12x
Therefore,
4x(x² + 2x +3) = 4x³ + 8x² + 12x
learn more on area model here: https://brainly.com/question/2281913
Find the value of "X."
Pls show all your work
Answers
Answer:
x=22.25
Step-by-step explanation:
6x+2x+2=180
8x=178
x=22.25
Mr Watkins needs to buy some oil for his central heating, Mr
Watkins can put up to 1200 litres of oil in his oil tank. There is
already 650 litres of oil in the tank. Mr Watkins is going to fill the
tank with oil. The price of oil is 70p per litre. Mr Watkins gets 5%
off the price of the oil. How much does Mr Watkins pay for the oil
he needs to buy?
Answers
Answer:
Step-by-step explanation:
1500 - 850 litres = 650 litres
Cost = 650litres * 67.2p/litre *0.95 = 41496p = £41.50 to the nearest p (assuming the p represents pence Sterling)
The 0.95 is because he pays 95% of the basic price (i.e. 5% off)
Sarah is dividing pies into eighths. She has 4 pies. How
many eighths will she have?
Answers
Answer:
32 eighths
Step-by-step explanation:
If each pie is being divided into 8 parts then all you have to do is multiply 8 by the number of pies (4). 8 * 4 = 32
The number of eighths Sarah will have is 8.
Given to us,
Total number of pies Sarah have = 4,
Each pie is divided into eighths, therefore, in 8 parts.
The number of eighths Sarah will have = number of pies Sarah x 8 parts.
= 4 x 8 parts
= 32 eighths
Hence, the number of eighths Sarah will have is 8.
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the binomial expansion of (x-2y)^3 is__
PLEASE HELP
A) x^3+3x^2y+3xy^2+y^3
B) x^3-3x^2y+3xy^2-y^3
C) 2^2(x^3-3x^2y+3xy^2-y^3)
D) x^3-6x^2y+12xy^2-8y^2
Answers
The answer is D) x^3-6x^2y+12xy^2-8y^2
5. Micheal has $750 to deposit into no different accounts.
-Micheal will deposit $400 into Account I, which ears 4.5% annual simple interest
-Micheal will deposit $250 into Account II, which eams 2 % annual simple interest
Micheal will not make any additional deposits or withdrawals. What will be the total balance of these two
accounts at the end of 5 years?
Answers
I=prt
I= 400×(4.5/100)×5
I=$90
total 400+90=$490
I=prt
I=250×(2/100)×5
I=$25
total 250+25=$275
9 tenths plus 7 hundredths =
Answers
Answer:.97
Step-by-step explanation:
The picture shows the top view of a piece of glass. A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet. Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply. A. A = 2 1 2 × 4 B. A = 5 2 + 4 C. A = ( 2 1 2 + 2 1 2 ) + ( 4 + 4 ) D. A = 5 2 × 4 E. A = ( 2 × 2 1 2 ) + ( 2 × 4 ) F. A = 2 1 2 + 4 answer and u get brainlyest
Answers
Answer:
d. and e.
Step-by-step explanation:
i did the test
Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that A rectangular piece of glass is shown.
The length is measured as 4 feet.
The width is measured as 2 and one-half feet.
We have to find the equations can be used to find the area of the piece of glass.
Area=Length×width
Area=4 feet × 2 and one-half feet
=4×[tex]2\frac{1}{2}[/tex]
=4×5/2
Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.
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#SPJ2
Chris bought 2 1/4 yards of fabric. He used 2/3 of the fabric to make a blanket.
How many yards of fabric did Chris use to make the blanket?
Answers
Answer:
1000 yard to make the blanket. I dony kikj
Answer:
took the test
Step-by-step explanation:
he used 1 1/4 yards of fabric
NEED HELP! WILL GIVE BRAINLIEST! <3
Answers
Answer:
See explanation
Step-by-step explanation:
1) 5/10
2) 3/10
3) 2/10
4) 7/10
Answer:
1) [tex]\frac{5}{10} = \frac{1}{2}[/tex]
2) [tex]\frac{3}{10}[/tex]
3) [tex]\frac{2}{10} = \frac{1}{5}[/tex]
4) [tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Probability = [tex]\frac{number of favourable outcomes}{total number of favourable outcomes}[/tex]
gray marbles = 5
white marbles = 3
black marbles = 2
total number of marbles = 10
Three friends go to book fair Alan spends $2.60 Maria spend three times as much as Allen Aiko spends $3.95 less than Maria how much does Aiko spend
Answers
Answer:
Aiko spends $3.85
Step-by-step explanation:
2.60 times 3 - 3.95 = 3.85
Answer:
3.85
Step-by-step explanation:
2.60x3=7.80 7.80-3.95=3.85
How many milliliters of chocolate milk are in the container shown? Enter your answer in the box.
A pitcher shows 4 lines at 1, 2, 3, and 4 liters from bottom to top. Chocolate milk rises to the level of the line at 3 liters.
Answers
Answer:
I don't know
Ich bin fett
I'm just a fat boy watching ph once a month
Step-by-step explanation:
bobo Ampt
i will pay someone to do my geometry review sheet answer fast
Answers
Answer:
where is it?
Step-by-step explanation:
Answer:
okay
Step-by-step explanation:
is it easy? good luck to me and your question
determine whether (7,8) is a solution of 7x+9y=11
Answers
Answer:
(7, 8) is NOT a solution to the equation
Step-by-step explanation:
x = 7 and y = 8 so fill those into the equation
7(7) + 9(8) = 11
49 + 72 = 11
121 = 11
this makes the equation NOT true
So no, (7, 8) is NOT a solution to the equation
Find The Value of X in the picture I showed.
Answers
Answer:
x = 4
Step-by-step explanation:
You can do this by realizing that since JG is the diameter then 6 + 11x + 22x - 1 must equal 180 minus 43 because that is the measure of HG. So then just set it up like an algebra equation.
137 = 6 + 11x + 22x - 1
137 = 33x + 5
132 = 33x
x = 4
What is the slope of JK? J=(2, 4), K(6, 1), L(2, -2), M(-2, 1)
Answers
Answer:
-3/4
Step-by-step explanation:
First, we find the change in x & change in y.
Change in x: 6 - 2 = 4
Change in y: 1 - 4 = -3
Since slope is rise (change in y) over run (change in x),
-3/4 is the slope.
please help!! (Easy?)
Answers
i have a issue i have cancer
A 95% confidence interval is found to be (28, 32). The sample standard
deviation is 7, and the sample size is 49. If you wanted a smaller interval,
what could you do?
Answers
Answer:
b
Step-by-step explanation:
Solve for the missing angles
Answers
Answer:
x = 90°
y = 90°
Step-by-step explanation:
The angle indicated with a box shape is a right angle = 90°
Thus:
x corresponds to 90°. Therefore,
x = 90°
✔️y = 180 - x (linear pair theorem)
y = 180 - 90 (substitution)
y = 90°
HELP !!!!!!! PLEAZEEEEE
Answers
Answer:
x = 30 y = 70 z = 80
Step-by-step explanation:
Ok question on picture
Answers
Answer:
its 144in
Step-by-step explanation:
8 times 9 times 2 is 144in
Find the mode(s), if any, of the following numbers: 22, 54, 22, 36, 17, 22, 17, 18
Answers
Laura has 78 apple trees in her cider farm, with a mean of 460 apples per tree. She has had to get a tree cut down, and after that, the mean of apples per tree became 462 . How many apples were there on the tree that Laura had to cut down?
Answers
Answer:
The tree that Laura had to cut had 306 apples.
Step-by-step explanation:
Given that Laura has 78 apple trees in her cider farm, with a mean of 460 apples per tree, but then she has had to get a tree cut down, and after that, the mean of apples per tree became 462, to determine how many apples were there on the tree that Laura had to cut down, the following calculation must be performed:
(78 x 460) - (77 x 462) = X
35.880 - 35.574 = X
306 = X
Thus, the tree that Laura had to cut had 306 apples.
13. Don is running a race. He knows he can run 60 feet in 4 seconds. If he maintains this rate, how many miles will he run in 1 hour?
Answers
Answer:
10.23 miles
Step-by-step explanation:
1 hour = 3600 seconds
[tex]\frac{60}{4} =\frac{x}{3600} \\\\4x=216000\\x=54000[/tex]
54000 ft = 10.23 miles
Anyone !
A 9-pack of popsicles costs $4.23. What is the unit price?
Answers
Answer:
Unit price is $0.47
Step-by-step explanation:
4.23÷9= .47