Solution 1
9514 1404 393
Answer:
- (c) 232°
- (a) 142°
- (b) 34°
Step-by-step explanation:
1. Arc DFG and arc DHG complete the circle. The measure of arc DHG is 90° +38° = 128°, so the measure of arc DFG is ...
360° -128° = 232° = mDFG
__
2. Arc GHE is 180°. Arc HE is 38° less than that value, so is ...
mHE = 180° -38°
mHE = 142°
__
3. The angle at H is half the difference of the intercepted arcs:
H = (100° -32°)/2 = 68°/2
H = 34°
📚 Related Questions
what kind of experience do they have (it depends on what the interview is for)
Answer:
Which statement can be used to justify the fact that to write angles are suppleMentry select two opinions== 3 and 6
Answer:
D
Step-by-step explanation:
x coordinate:
8 - -4 = 12
12 / 2 = 6
-4 + 6 = 2
y coordinate:
10 - -8 = 18
18 / 2 = 9
-8 + 9 = 1
(2, 1)
James’ stock dropped 2 points each day over the last 5 days.
How many points has James’ stock dropped?
Answer:
10 points
Step-by-step explanation:
since they only said 5 days and each day 2 points drop.
1 day = 2 points
5 days = 2 x 5 = 10 points
school fair. The tickets cost
50p each.
The main prize of the raffle is
£20. The second prize is £5.
How much profit will Rhys make if he manages
to sell 140 tickets?
Answer:
140 divided by 0.50＝140 divide by 2＝70
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Answer:
Answer is D. Mean decreases and median stays the same
Step-by-step explanation:
First put the amounts in this format
$31, $39, $50, $50, $70, $82
Median (middle of all numbers) is 50
Mean (add all numbers then divide by how many amounts there) is 53.6
Now incorporate the 7th week
$23, $31, $39, $50, $50, $70, $82
Median is still 50
Mean is now 49.28
the company. It costs you $25 to make each lamp, and you want to sell them for $75. How many
lamps do you need to make to break even?
Answer:
100
Step-by-step explanation:
the first you have to use Lebara
Linear equations
by substation
Y+11=6x
2x+3y=7
Step-by-step explanation:
y = 6x-11
substitute y into 2x+3y=7
2x+3(6x-11)=7
2x + 18x-33 = 7
20 x = 7+33
x = 2
y?
y= 6(2)-11
y = 12-11 = 1
so, x = 2 and y = 1
In square ABCD, the diagonals intersect at G.
If mLAGD = a + 2b and mzABC = 2a - b, find the values of
a and b.
C
Answer:
a = 54
b = 18
Step-by-step explanation:
ABCD is a square. It's diagonals AC and BD intersects at G.
Since, diagonals of a square bisects at right angles.
[tex] \therefore m\angle AGD = 90\degree [/tex]
[tex] \implies a + 2b = 90\degree [/tex]
[tex] \therefore a = 90\degree - 2b.....(1)[/tex]
Since, measure of each angle of a square is right angle.
[tex] \therefore m\angle ABC = 90\degree [/tex]
[tex] \implies 2a-b = 90\degree.......(2) [/tex]
From equations (1) & (2)
2(90° - 2b) - b = 90°
180° - 4b - b = 90°
-5b = 90° - 180°
-5b = - 90°
b = - 90°/(-5)
b = 18
Plug b = 18 in equation (1)
a = 90° - 2*18
a = 90° - 36°
a = 54
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Answer:
D. TAYLOR'S INTERQUARTILE RANGE IS LOWER THAN MONICA'S INTERQUARTILE RANGE
