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Answer:
∠ABC = 46°
Step-by-step explanation:
DB and BC are of same length (radius), making it an isosceles triangle.
The base of the triangle is the same at 23°, a total of 46°.
180° - 46° = 134°
But we need ∠ABC, and since points DBA lie on the circumference, it's a straight line.
Therefore, 180° - 134° = 46°
Answer:
-57
Step-by-step explanation:
<h2><u>Use BOMAS</u></h2>
B- brackets
O- of
M- multiplication
A- addition
S - subtraction
-3[1+2(4+5)]
first solve what is in the brackets
(4+5) = 9
place 9 in the brackets
-3[1+2(9)]
now multiply the 2 and 9
2*9 = 18
-3[1+18)]
1+ 18 = 19
now multiply the (-3) with 19
= <u>-57</u>
Answer:
-3a-4b+5
Step-by-step explanation:
(3a-6b+12)-(6a-2b+7)
3a-6b+12-6a+2b-7
3a-6a-6b+2b+12-7
-3a-4b+5
Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
