Answer:
Step-by-step explanation:
Step One
Find the exterior angle connected to the 93 degree angle. It is also a supplement to 93. Supplementary angles add to 180. Call the exterior angle y
93 + y = 180 Subtract 93 from both sides
y = 180 - 93
y = 87
Step two
Add all the exterior angles. They equal 360
x + 52 + 87 + x + 3 + 78 = 360 Combine the like terms
Step 3
Solve the equation
2x + 220 = 360 Subtract 220 from both sides
2x = 360 - 220
2x = 140 Divide by 2
x = 70
I don't see that anywhere, but I'm pretty sure I'm right.
Answer:
96
Step-by-step explanation:
O is double D. And A is equal to O. Hence 2*48=96
Answer:
x = -8
<XCE = 30
Step-by-step explanation:
Remark
In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.
We have a little bit of both in this question.
Solution
3x + 174 = - 7x + 94 Alternate exterior angles. Add 7x to both sides.
3x+7x +174 = 94 Combine
10x + 174 = 94 Subtract 174 from both sides
10x = 94 - 174
10x = - 80 Divide by 10
x = - 80/10
x = - 8
===================
Check
3x + 174 = -24 + 174 = 150
-7x + 94 = -7*-8 + 94
-7x + 94 = 56 + 94 = 150
<XCE
<XCE = 180 - (3x + 174)
<XCE = 180 - (-24 + 174)
<XCE = 180 - (150)
<XCE = 30
Answer:
Solution given:
A triangle PQR is right angled at R, with hypotenuse{h}PQ=80cm
and
base[b]PR=60cm.
perpendicular [P]= QR
<u>by</u><u> </u><u>using</u><u> </u><u>Pythagoras</u><u> </u><u>law</u>
<u>h²</u><u>=</u><u>p²</u><u>+</u><u>b²</u>
80²=QR²+60²
QR²=80²-60²
QR=
QR=20=52.9=53cm
<u>QR</u><u>=</u><u>5</u><u>3</u><u>c</u><u>m</u><u>.</u>
Answer:
2115 = 9:15 PM
0830 = 8:30 AM
Step-by-step explanation:
12 - hour conversion.