Answers
Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
Related Questions
If the father's age in 3 years will be twice the son's age 4 years ago, and if the sum of their ages now is 106, how old is the father now?
Answers
Answer:
The father is 67 and the son is 38
Step-by-step explanation:
TRUST ME Bois and Girls
A circular blade on a saw rotates at 2400 revolutions per minute. Find the angular speed in radians per second.
Answers
Answer:
It should be 7.5 i can't seem to find another answer that says: A circular blade on a saw rotates at 2400 revolutions per minute. Find the angular speed in radians per second. without having 7.5 in it!
Step-by-step explanation:
I hope im right, i apoligize if im not!
convert x - 2y = 0 into slope intercept form then graph
Answers
Answer:
y = [tex]\frac{1}{2}[/tex]x
(See the attachment)
Step-by-step explanation:
x - 2y = 0
-2y = -x
y = [tex]\frac{1}{2}[/tex]x
Answer:
Step-by-step explanation:
y = [tex]\frac{1}{2}[/tex] x
Together, teammates Pedro and Ricky got 2678 base hits last season. Pedro had 282 more hits than Ricky. How many hits did each player have?
Answers
Answer:
pedro- 1621
ricky- 1057
Step-by-step explanation:
Find an equation of the line that passes through the pair of points (-5, -9) and (2,-7)
Answers
Answer:
y=0.3x - 7.6
Step-by-step explanation:
line: y=ax+b
a= Δy ÷ Δx
a= (-9 + 7) ÷ (-5 - 2)
a= -2 ÷ -7 = approximately 0.3
y=0.3x + b
Now you can fill in one of the points to find b (or both to make sure you got the answer right).
0.3 × 2 + b = -7
0.6 + b = -7
b = -7 - 0.6 = approximately -7.6
So: an equation of the line that passes through this pair of points is y=0.3x - 7.6
On a test, i would write as many decimals as possible if not said not to, to get the most exact answer. Also remember to keep calculating with the number on your calculator and not to round them off for the most exact answer.
What angle would you use to represent 40 red cars out of 90 cars in total on a pie chart?
. 40 degree
. 4 degree
. 160 degree
90 degree
Answers
Answer:
4
Step-by-step explanation:
i just know I took the test and I choose 90 and got it wrong
a muffin recipe calls for 2/5 tablespoon of vanilla extract for 6 muffins. Aria is making 24 muffins. How much vanilla extract does she need?
Answers
Answer:
1 and 3/5
Step-by-step explanation:
Answer:
360 tablespoons.
Can someone help me with this please?
Answers
Answer:
-12
Step-by-step explanation:
subtracting a negative from a negative makes a greater negative, basically adding to the negative
Answer:
-8 is the answer correct
Step-by-step explanation:
Find the value of each variable.
A=?
B=?
C=?
Answers
Answer:
a:3.5
b:0.2
c:.3
Step-by-step explanation:
50 points. Which option is it?
Answers
Answer:
You ready chose the answer
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Which graph represents the function fx) =|x–4?
Answers
The image below shows the graph f(x) = |x| – 4
Hope this helps! :)
What is the product of 14/5
Answers
Answer:
2.8
Step-by-step explanation:
Just divide and get the answer
82,77,72,67 find the sequince
Answers
Answer:
Subtract 5 as you go along the pattern.
82-5=77-5=72-5=67...
Step-by-step explanation:
Joe collects Pokemon cards. He already has 100 and buys a dozen more each week when he goes to the store. Jessica also collects Pokemon cards. She has 130 cards, and buys 6 more each week at the store.After how many weeks would the two kids have the same amount of cards?
Answers
Answer:
5 weeks
Step-by-step explanation:
To find the answer to this question we have to write an equation for both situation and put them equal to each other.
Let's write an equation for Joe:
12x + 100
Now, for Jessica
6x + 130
Next, put them equal to each other:
12x + 100 = 6x + 130
Solve:
12x + 100 = 6x + 130
6x + 100 = 130
6x = 30
x = 5
Therefore, it will take 5 weeks for Joe and Jessica to have the same amount of cards.
Check:
12(5) + 100 = 6(5) + 130
60 + 100 = 30 + 130
160 = 160
I hope this helps!!
- Kay :)
A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. if Calvin spends $195, how many times did he visit the gym?
Variable: Equation:
Solve (show all steps):
Answers
Answer:
19
Step-by-step explan
Multiply by 5 until you get to 95 :)
PLEASE answer i’ll do anything please
Answers
Answer:
25
Step-by-step explanation:
[tex]f(x) = {3}^{x} - 2 \\ \\ plug \: x = 3 \\ \\ f(3) = {3}^{3} - 2 \\ \\ f(3) = 27 - 2 \\ \\ f(3) = 25[/tex]
What error did Wanda make?
None. Wanda’s work is correct.
Wanda converted the percent to a decimal incorrectly. It should be 0.073.
Wanda converted the percent to a decimal incorrectly. It should be 0.73.
Wanda has the wrong label. It should be hours, not dollars.
Answers
Answer:
C
Step-by-step explanation:
the guy above sucks
None. Wanda’s work is correct.
Wanda converted the percent to a decimal incorrectly. It should be 0.073.
Wanda converted the percent to a decimal incorrectly. It should be 0.73.
Wanda has the wrong label. It should be hours, not dollars.
Step-by-step explanation:
please help meeeeeee
Answers
Answer: its 1/4 per minute i took the test
Step-by-step explanation:
I need help thank you
Answers
Answer:
[tex]4x^2-x+8[/tex]
Step-by-step explanation:
First expand [tex](x-8)^2[/tex].
[tex](x-8)(x-8)=x^2-16x+64[/tex]
Now Add:
[tex](x^2-16x+64)+(3x^2+15x-56)\\(x^2+3x^2)+(-16x+15x)+(64-56)=\\4x^2-x+8[/tex]
We want this:
3x^2 + 15x - 56 + (x - 8)^2
First, expand (x - 8)^2 using FOIL.
So, (x - 8)^2 = (x - 8)(x - 8).
(x - 8)(x - 8) = x^2 - 16x + 64.
We now add like terms.
3x^2 + 15x - 56 + x^2 - 16x + 64
4x^2 - x + 8
Done.
what is the estimate of 29 x 688
Answers
Answer:
19952 :)
Step-by-step explanation:
Step-by-step explanation:
29 turns to 30
688 turns to 700
30×700=21000
Dani decides to add the cost of each shirt and the cost of each bag together, and then multiply by seven to find the total cost. Write an algebraic expression for the total cost of the gifts using Dani’s method. Remember, use t and b as your variables. (3 points)
Answers
Answer:
Total cost of 7 pair = 7(t + b)
Step-by-step explanation:
Given:
Cost of each shirt = t
Cost of each bag = b
Number of pair = 7
Find:
Total cost
Computation:
Total cost of each pair = t + b
Total cost of 7 pair = 7(t + b)
What restriction should be applied to y = tanx for y = arctanx to be defined?
Answers
Answer:
restrict the domain to (-pi/2, pi/2)
Step-by-step explanation:
edge 2020
Answer: c. restrict the domain to (-pi/2, pi/2)
Step-by-step explanation:
Edge :)
find the slope and y-intercept for a line passing through the following two points,then create a slope intercept equation (-2,2) and (-5,-4)
Answers
Answer:
Slope: 2
y intercept: 6
Equation: y = 2x+6
In a sample of 14 CEOs, they spent an average of 12.9 hours each week looking into new product opportunities with a standard deviation of 4.9 hours. Find the 95% confidence interval.a. (10.3, 15.5)b. (8.0, 17.8)c. (10.1, 15.7)d. (9.9, 15.9)
Answers
Answer:
c. (10.1, 15.7)
Step-by-step explanation:
The calculation of the 95% confidence interval is shown below:
Given that
n = sample = 14
average = [tex]\bar x[/tex] = 12.9
Standard deviation = s = 4.9
Based on the above information
[tex]\alpha = 1 -0.95 = 0.05[/tex]
n - 1 = 14 - 1 = 13
[tex]t_{\alpha}\ value = 2.16[/tex]
Now the 95% confidence interval is
[tex]= \bar x + \pm\ t \times \frac{s}{\sqrt{n} } \\\\= 12.9 \pm 2.16 \times \frac{4.9}{\sqrt{14} } \\\\= 12.9 \pm 2.8287[/tex]
= (10.1, 15.7)
hence, the correct option is c.
which one is a function please help me!!!??????
Answers
Answer:
b
Step-by-step explanation:
b is the only one that if you draw a vertical line at ani point on the graph does not intersect the graph more than once
Show that f '(x) = g'(x) for all x in their domains. Can we conclude from the corollary below that f − g is constant? If f '(x) = g'(x) for all x in an interval (a, b), then f − g is constant on (a, b); that is, f(x) = g(x) + c where c is a constant.
Answers
Answer:
Answer: 15 cm
Step-by-step explanation:
The derivative of a function at a point can be defined as its slope at that point. For f'(x) = g'(x) in the interval (a,b), it is proved that f - g is constant in (a,b).
What is a Derivative?A derivative of a function is its rate change of increase or decrease in a given interval with respect to its variable. Derivative of a constant function is always zero.
Given that, f'(x) = g'(x) for all x.
Taking integral on both sides
f(x) + C₁ = g(x) + C₂
=> f(x) - g(x) = C₂ - C₁
=> f(x) - g(x) = C
Thus, f(x) - g(x) is constant is proved.
Similarly for interval an interval (a,b),
f(x) - g(x) = C
=> f(x)= g(x) + C
Hence, it is proved that in an interval (a,b), if f'(x) = g'(x) then f(x)= g(x) + C.
To know more about Derivative click on the following link
https://brainly.com/question/9964510
#SPJ2
Graph the solution set for the inequalíty
y> 2x-5 by following these steps:
Step 1: ldentify the slope and y-intercept.
slope = y-intercept =
Please help me
Answers
Answer:
Slope= 2
Y-intercept= -5
Step-by-step explanation:
This inequality is in slope-intercept form which means we can get both striaght from the inequaltiy. Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. In this inequality m would be 2 and b would be -5, so those are your answers.
Name the function family that each graph best belongs to.
Use the following answer choices to answer questions 7- 11 (each choice can be used more than once.)
a. Quadratic
b. Absolute Value
c. Linear
d. Exponential
e. Reciprocal
f. Cubic
g. Square Root
h. Cube Root
i. Logarithmic
Answers
Answer:
7. Absolute Value
8. Exponential
9. Quadratic
10. Linear
11. Logarithmic
Exponential
Quadratic
Linear
Logarithmic
Is 3abc an expression?
Answers
Answer:
yes
Step-by-step explanation:
an expression is like an equation without the equal sign, or according to the Oxford Dictionary: "a collection of symbols that jointly express a quantity."
Answer:
Yes
Step-by-step explanation:
An expression is a collection of symbols that jointly express a quantity, which means a set of symbols that equals a number. a,b, and c are all variables, meaning that its a expression
Look at my picture, what’s the missing statement in step 4?
Answers
Answer:
Step-by-step explanation:
∠ACE=∠ BCD (reflexive property )
It is common to both the angles or both the angles represent the same angle.
We have to prove two triangles are similar.
Here we show two angles of different triangles are equal.
Hence similar by AA
Answer:
m<CBD is congruent to m<DBC
Step-by-step explanation:
Reflexive property states that any real number, for example a, is equal to itself. < cbd is congruent to < dbc :)