The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
<h3>Bisection of angles</h3>
Angles are bisected if they are divided into two equal parts.
If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;
2(11x + 23) = <ABC
Given the following parameters
<ABC = 25x + 34
2(11x + 23) = 25x + 34
Expand
22x +46 = 25x + 34
22x-25x = 34 - 46
-3x = -12
x = 4
Determine the measure of the angles
<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23
<ABD = 44 + 23
<ABD = 67 degrees
<ABC = 2(67)
<ABC = 134 degrees
Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
Learn more on bisection of angles here: brainly.com/question/25770607
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Answer:
g=6
Step-by-step explanation:
g=4 and g=5 will be more than 7 but g=6 is less.
Answer:
∠A=0
<u>-------------------------</u>
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Answer:
64
Step-by-step explanation:
If you measure the cubes inside for the length, width and height, you get:
Length - 5 cubes
Width -5 cubes
Height - 3 cubes
The volume of the prism is 5 * 5 * 3 = 75. This means the prism can hold a total of 75 cubes
The amount of cubes already in there is 11
so 75 - 11= 64
Answer:
a^4 - a^3 + a^2 - 2a - (2)/(a + 1)
