Answer/Step-by-step explanation:
1. Side CD and side DG meet at endpoint D to form <4. Therefore, the sides of <4 are:
Side CD and side DG.
2. Vertex of <2 is the endpoint at which two sides meet to form <2.
Vertex of <2 is D.
3. Another name for <3 is <EDG
4. <5 is less than 90°. Therefore, <5 can be classified as an acute angle.
5. <CDE is less than 180° but greater than 90°. Therefore, <CDE is classified as an obtuse angle.
6. m<5 = 42°
m<1 = 117°
m<CDF = ?
m<5 + m<1 = m<CDF (angle addition postulate)
42° + 117° = m<CDF (Substitution)
159° = m<CDF
m<CDF = 159°
7. m<3 = 73°
m<FDE = ?
m<FDG = right angle = 90°
m<3 + m<FDE = m<FDG (Angle addition postulate)
73° + m<FDE = 90° (Substitution)
73° + m<FDE - 73° = 90° - 73°
m<FDE = 17°
Answer:
Step-by-step explanation:
divide the number then add on
Using the probability concept, it is found that there is a 0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In an experimental probability, these number of outcomes are taken from previous trials.
In this problem:
- The experiment was made 20 times.
- Of those, in 6 experiments(81, 105, 171, 159, 297, 387) she choose a page that was divisible by 3.
Then:
0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.
You can learn more about the probability concept at brainly.com/question/15536019
Answer:
equation: y=-2x+2
a=-3
b=-8
Step-by-step explanation:
we need to find the equation of the line containing the point (3,-4) and has the slope (m) of -2
slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
we can plug what we know into the equation:
y=-2x+b
we need to find b though
since the point will pass through the point (3,-4) we can subsitute it into the equation to find b
-4=-2(3)+b
-4=-6+b
2=b
the y intercept is 2
so the equation is y=-2x+2
the line also contains the points (a,8) and (5,b)
first, let's find a
a is the x value of the point
we know the value of y (8)
substitute y as 8 and solve for x
8=-2x+2
subtract
6=-2x
-3=x=a
so a is -3
now find b
b is the y value of the point
we know the x value (5)
substitute x as 5 and solve for y
y=-2(5)+2
y=-10+2
y=-8=b
so b is -8
hope this helps!
Answer:
x=5
Step-by-step explanation:
Alright you will need to use PEMDAS for this
- Parenthesis
- Exponent
- Multiplication
- Division
- Addition
- Subtraction ( Take note of this )
Step 1
9(3x – 16) + 15 = 6x – 24 You will remove parenthesis here
27x-129=6x-24
Step 2
Then subtract 6x,
27x-129=6x-24
21x-129=-24
Step 3
Then you add 129 to the sides,
21x-129=-24
21x=105
After that, you divide the sides by 21 so that you can get your answer
5
So therefore, your answer will be x=5
