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
#SPJ1
Answer:
#1) D frequency data that can be plotted on a number line
; #2) A Sarah read twice as many chapters Wednesday as Monday, C Sarah read more than four chapters on two days, F Sarah read at least three chapters on four days, and H The total number of chapters Sarah read on the weekend was the same as the total number she read on the weekdays.
Step-by-step explanation:
#1) A line plot shows the frequencies of data. It is displayed over a number line; this makes the best choice for the answer "frequency data that can be plotted on a number line."
#2) We can see that Sarah read 2 chapters on Wednesday and 1 chapter on Monday. This is twice as many chapters.
She read more than 4 chapters on both Saturday and Sunday.
She read 3 or more chapters on Tuesday, Friday, Saturday and Sunday.
The total number of chapters she read on the weekend was 5+6 = 11. The total number of chapters she read on the weekdays was 1+3+2+2+3 = 11. These are the same.
The answer is -25
All you have to do is add -6-9 which equals -25 because “same signs add(+) and keep” “different signs subtract(-)” but “add” means positive number and “subtract” means negative number. Since they are different signs a (+) and a (-) you subtract it.
Hope this helps!
Answer: x=−3 or x=13
Step-by-step explanation:
Step 1: Subtract 39 from both sides.
x2−10x−39=39−39
x2−10x−39=0
Step 2: Factor left side of equation.
(x+3)(x−13)=0
Step 3: Set factors equal to 0.
x+3=0 or x−13=0
x=−3 or x=13
Answer: Ricky: 1204, Pedro: 1481
Step-by-step explanation:
If Pedro hit 277 more base hits that Ricky, and together they hit 2685, then
2685=2x+277
2x=2408
x=1204
so Ricky hit 1204 base hits and Pedro hit 1481.
check: 1204+1481=2685
