Answers
Answer:
[tex]x=7\text{ and } m\angle KLM = 34^\circ[/tex]
Step-by-step explanation:
We are given ethat KM and JN are parallel.
And we want to find the value of x.
Notice that ∠JKM and ∠LKM form a linear pair. Linear pairs total 180°. Therefore:
[tex]m\angle JKM + m\angle LKM = 180[/tex]
We know that ∠JKM measures (14x + 8). Substitute:
[tex](14x+8)+m\angle LKM =180[/tex]
Solve for ∠LKM:
[tex]m\angle LKM = 172-14x[/tex]
Next, since KM and JN are parallel, by the Corresponding Angles Theorem:
[tex]\angle JNM \cong \angle KML[/tex]
Since we know that ∠JNM measure (10x + 2), we can conclude that:
[tex]m\angle KML = 10x+2[/tex]
Next, recall that the three interior angles of a triangle must total 180°. Therefore:
[tex]m\angle KLM + m\angle LKM + m\angle KML = 180[/tex]
Substitute:
[tex](5x-1)+(172-14x)+(10x+2)=180[/tex]
Solve for x. Rewrite:
[tex](5x-14x+10x)+(-1+172+2)=180[/tex]
Combine like terms:
[tex](1x)+(173)=180[/tex]
Therefore:
[tex]x=7[/tex]
To find ∠KLM, substitute in 7 for x and evaluate. So:
[tex]m\angle KLM = 5(7) - 1 =34^\circ[/tex]
Related Questions
Find the value of "x" of given parallelogram
Answers
Answer:
The answer is 1.5
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 7 = 5x - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 5x = - 4 + 7 \\ \: 2x = 3\\x = \frac{3}{2} \\ x = 1.5[/tex]
i hope so..
A high school held an election for class president. Exactly 1,000 votes were cast and they were all for either Gillian or Clive. Gillian received 100 more votes than Clive. What percent of the 1,000 votes were for Gillian?
Answers
Answer: 60%
1000÷2=500
Clive: 500-100= 400
Gillian: 500+100= 600 (Because Gillian has 100 more votes than Clive)
[tex] \frac{600}{1000} \times 100\% = 60\%[/tex]
If Gillian received 100 more votes than Clive, Gillian received 55% of the 1,000 votes.
To determine the percentage of votes for Gillian out of the total 1,000 votes, we need to calculate the proportion of votes that Gillian received.
Given that Gillian received 100 more votes than Clive, we can set up the equation:
Votes for Gillian = Votes for Clive + 100
Let's denote the number of votes for Clive as C. Therefore, the number of votes for Gillian is C + 100.
The total number of votes is 1,000, so we have the equation:
C + (C + 100) = 1,000
Simplifying, we find:
2C + 100 = 1,000
2C = 900
C = 450
Therefore, Clive received 450 votes and Gillian received 450 + 100 = 550 votes.
To calculate the percentage of votes for Gillian, we divide her votes by the total votes and multiply by 100:
(550 / 1,000) * 100 = 55%
To learn more about percentage click on,
https://brainly.com/question/13228217
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Write the expression as an exponent:
5^8 x 25
6^15 x 36
Answers
Answer:
a.) 5¹⁰
b.) 6¹⁷
Step-by-step explanation:
a.) 5⁸ × 25
Write 25 in the exponential form with the base of 5.
5⁸ × 5²To calculate product use exponent rule
5⁸+²5¹⁰b.) 6¹⁵ × 36
Similarly, 6¹⁵ × 36
Write 25 in the exponential form with the base of 6.
6¹⁵ × 6²To calculate product use exponent rule.
6¹⁵ + ²6¹⁷Answer:
[tex] \displaystyle {5}^{10} [/tex]
[tex] \displaystyle {6}^{17} [/tex]
Step-by-step explanation:
Question-1:we want to rewrite the following expression as an exponent
[tex] \displaystyle {5}^{8} \times {25}[/tex]
remember that 25 is the square of 5 therefore
[tex] \displaystyle {5}^{8} \times {5}^{2} [/tex]
recall that,
[tex] \displaystyle {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]
with that law we obtain:
[tex] \displaystyle {5}^{8 + 2} [/tex]
simplify addition:
[tex] \displaystyle {5}^{10} [/tex]
Question-2:likewise Question-1 36 is the square of 6 Thus,
[tex] \displaystyle {6}^{15} \times {6}^{2} [/tex]
similarly apply law of exponent:
[tex] \displaystyle {6}^{15 + 2} [/tex]
simplify addition:
[tex] \displaystyle {6}^{17} [/tex]
hence,
we have written the expression as an exponent
will give brainliest, look at the picture. HURRY PLSS
Answers
Answer:
triangle s
that is my answer
if p:q=1:2 and q:r=4:3,find p:q:r
Answers
Answer:
2:4:3
Step-by-step explanation:
To Find :-
p : q : r .Solution :-
By question ,
→ p :q= 1:2
→ q : r = 4 :3
Therefore ,
→ p/q × q/r = 1/2 × 4/3
→ p/r = 2/3
Again ,
→ p = 1/2q
→ r = 3/4 q
Henceforth ,
→ p : q : r
→ 1/2 q : q : 3/4q
→ 4/2q : 4q : 12/4 q
→ 2 : 4 : 3
y=x+2 y=-x +8 What is the solution for this system of equations?
Answers
Answer:
x = 3 y = 5
Step-by-step explanation:
y=x+2
+ y=-x +8
2y = 10
y = 5
y = -x + 8
5 = -x + 8
x = 3
Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A′B′C′D′. If the coordinates of vertex A are (-7, 3), what are the coordinates of vertex A′?
Answers
(7,3)
Hope this helps
Which inequality defines the problem below?
Hosting a dinner party for 38 people, you plan to serve peach pie for dessert.
Each pie has 8 slices. How many pies must you buy to ensure each guest
gets 1 slice?
A. 38p> 8
B. 8p = 38
C. 8p 238
D. 38 > 8p
E. 8p< 38
SUBMIT
Answers
Answer: the answer is 8p>38
Step-by-step explanation:
just took test
Change 18° into sexagesimal seconds.
Answers
Answer:
She's, "HOT"!
Step-by-step explanation:
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
14
x
х
12
Answers
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, isosceles, equilateral, scalene and right angled triangle.
A right angled triangle is a triangle in which one of the angles is 90°. In a right angled triangle, the longest side is known as the hypotenuse and the side is opposite to the right angle.
Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given the question attached, using Pythagoras theorem:
18² = x² + 12²
324 = x² + 144
x² = 180
x = 13.42
To the nearest square metre, calculate the curved surface area of the half pipe if it is 9m long? (With a radius of 2.5m)
Answers
Answer:
70.686 [tex]m^{2}[/tex]
Step-by-step explanation:
A=2πrh (area of cylinder without top or bottom)
A = 2[tex]\pi[/tex](2.5)(9)
A = 141.372
divide by two for half of pipe.
A = 70.686
what is the additive identity of rational number
Answers
Answer:
zero(0)
Step-by-step explanation:
The additive identity of a set of number is a number such that the its sum with any of the numbers in the set would give a result that is equal to the number in that set.
In other words, say for example the set of numbers is rational, the additive identity of rational numbers is 0. This is because, given any rational number say x, adding zero to the number x gives the same number x. i.e
x + 0 = x
If x is say 2, then we have;
2 + 0 = 2
Since adding zero to rational numbers gives has no effect on the numbers, then zero (0) is the additive identity of rational numbers.
A baker's bread recipe calls for 3
cups of flour. She plans to make 2 loaves of
bread
If the baker's measuring scoop holds cup, how many scoops of
flour will she need in all?
Answers
explanation: she has 1 cup measuring cup and has to fill it 3 times for each loaf 3*2=6
URGENT HELP NOW PLEASE QUICKK!!!!
Answers
Answer:
(2,-2)
Step-by-step explanation:
Its just (-7+9 , 1-3)
Answer:
P' = (2,-2)
Step-by-step explanation:
P = (-7,1)
T(x,y) = (x + 9, y - 3)
(-7 + 9,1 - 3) = (2,-2)
If 1 pint is equal to 2 cups, then 5 pints would equal how many cups
Answers
If 1 pint is equal to 2 cups then 5 pints equals 10 cups
5 times 2 equals 10.
use r = 27 and x = 3
- r 9 _ + 5x
Answers
Answer:
-228
Step-by-step explanation:
Please help me I need this doing for my maths hwk and I really don’t know
Answers
The shaded area will be 10 x 10 - 45 = 55 cm^2
The percentage shaded = 55 / 100 x 100% = 55%
Write an equation of the line in slope-intercept form
Answers
The slope intercept form of the line is ,
> y = mx + c
where ,
m is slope of the linec is y interceptExample :-
> y = 2x + 5
The line passes through (0,5) with a slope of 2 .What is the solution
Answers
Answer:
x = -72
Step-by-step explanation:
-72 + 8 = -64
The third square root of -64 is -4
What is the value of the expression below
(-64)^2/3
Answers
Answer:
16
Step-by-step explanation:
[tex](-64)^2/3[/tex]
64 = [tex]2^{6}[/tex]
[tex]2^{6} ^{\frac{1}{3} } ^{2}[/tex]
[tex]2^{ 2^{2} }[/tex]
[tex]2^{4}[/tex]
16
Because psychologists generally use college students as research participants, the research does NOT involve Group of answer choices random sampling. convenience sampling. confounds. random assignment.
Answers
Answer: random sampling
Step-by-step explanation:
Because psychologists generally use college students as research participants, the research does not involve random sampling.
Random sampling is when each sample has an equal chance of being selected. Since the psychologists are targeting a particular set of students, the random sampling might not be applicable in this case.
In triangle XYZ. the measurements of angle X and angle Y are 45° Which is the longest side of the triangle
Answers
Answer:
the side XY
Step-by-step explanation:
we know 2 angles in a triangle. but are 45 degrees.
that means the third angle Z is 180-45-45 = 90 degrees.
the side opposite of the largest angle is the longest side.
opposite of Z is the side XY.
Bonnie made a scale drawing of a theater. The scale of the drawing was 2 inches =
1 foot. If the stage is 40 inches in the drawing, how wide is the actual stage?
55
Answers
Answer:
20 foot.....................
A recipe for a soup calls for 2/4 cup of chopped onion and 1/5 cup of chopped
celery. What is the total amount of celery and onion needed for the soup?
Answers
Answer:
The total amount of celery and onion needed for the soup is 7/10 cup.
Step-by-step explanation:
2/4 + 1/5 = 7/10 cup.
hope it helped :)
mark me brainliest!
area of trapezoid? i keep getting it wrong lol the shape is confusing to me please help
Answers
Answer:
Area= [tex]154m^{2}[/tex]
Step-by-step explanation:
A= [tex]\frac{a+b}{2} h=\frac{12+16}{2} (11)=154[/tex]
If the radius of circle is 50cm then find its area?
Answers
Answer:
Area=7850 cm
Step-by-step explanation:
Since the formula for area is A=c(radius squared), we need to plug in the radius first. 50x50=2500. We can identify 'pi' as 3.14 and use that decimal instead of a longer one. The product of 2500 and 3.14 is 7850. Therefore, your answer is 7850 cm
1. What measure of variability is the simplest?
A. Mean Deviation
B. Range
C. Standard Deviation
D. Variance
Answers
Answer:
range
Step-by-step explanation:
1. make r the subject of the relation. 2. Find the value of r when s=117, m = 2 and n=-3. m=r-s ÷2nr
Answers
Answer:
Hence, the required answers are (i) r= -s/(2nm-1) and r=g.
Step-by-step explanation:
solution: m= r-s/2nr
i) m= r-s/2nr 2) m(2nr) = r-s (i) s=117 ,m=2, n=-3
2) 2xnxmxr= r-s 2) r= -s/(2nm-1)
3) move the "r" on the right to the 2) r= -117/(2x(-3)x2)-16
-2nrm-r= -s
- r(r-2nm-1)= -s 2) r= (-117/-13)=)r=g
- r= -s/(2nm-1)
Hence, the required answers are (i) r= -s/(2nm-1) and r=g.
Find the area of the triangle from the coordinate plane.
Y
A
10-
5-1
с
B.
0
-20
-15
-10
-5
Answers
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:
Adjacent side is 5
Opposite side is 10.
5x10=50
50/2=25
Formula: b•h/2
The equation below has one solution. 9 x minus 10 = 3 x + 2 What is the solution to the equation? –2 –1 1 2
Answers
9x-10=3x+2
-3x. -3x
6x-10=2
+10 +10
6x=12
———
x=2
Answer:
x=2
Step-by-step explanation: