So basically the hypotenuse is the part of the triangle that connects the two sides that create the right angle
Answers:
- a) x = 9
- b) arc JK = 68
- c) arc MJ = 112
- d) arc LMK = 248
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Explanation:
Arcs JK and KL form a semicircle, so they add to 180 degrees
(arcJK) + (arcKL) = 180
(5x+23) + (17x-41) = 180
22x-18 = 180
22x = 180+18
22x = 198
x = 198/22
x = 9
Then you'll use this x value to find arc JK and arc KL
arc JK = 5x+23 = 5*9+23 = 68
arc KL = 17x - 41 = 17*9-41 = 112
Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees
Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)
arc LMK = (full circle) - (measure of minor arc LK)
arc LMK = 360 - 112
arc LMK = 248
Both of these lines share the relationship together of being parallel.
Answer:
X=-5y/13+90/13, Y=-13x/5+18
Step-by-step explanation:
You need to solve the equation for X and Y.
Solving for X:
13x+5y=90
Subtract 5y: 13x=-5y+90
Divide by 13: x=-5y/13+90/13
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For Y:
13x+5y=90
Subtract 13x: 5y=-13x+90
Divide by 5: y=-13x/5+90/5
(Simplifies to -13x/5+18)
The total number of people in the city surveyed by Annette= 480 people.
Step-by-step explanation:
Let 'X' be the Total Number of people Annette surveyed.
Out of Total people in the city, only <u>180 people are not interested</u> in a new shopping mall.
Therefore, it is given in the question that <u>180 is 37.5% of Total number of people surveyed (X).</u>
step 1: 180= (37.5/100)*(X)
step 2: X= (180*100)/37.5
step 3: X= 18000/37.5
step 4: X= 480
