in each diagram the line BD bisects angle ABC. Find the measure of angle ABC
Answers
Answer:
∠ ABC = 134°
Step-by-step explanation:
Given tat CD bisects ∠ ABC then
∠ DBC = ∠ ABD , substitute values
x - 33 = [tex]\frac{x}{2}[/tex] + 17 ( multiply through by 2 to clear the fraction )
2x - 66 = x + 34 ( subtract x from both sides )
x - 66 = 34 ( add 66 to both sides )
x = 100
Thus
∠ DBC = ∠ ABD = x - 33 = 100 - 33 = 67°
Hence
∠ ABC = ∠ DBC + ∠ ABD = 67° + 67° = 134°
Related Questions
There are 30 dogs at the park. 56 of the dogs are large.
Which method is a way to find the number of large dogs at the park?
Answers
Answer:
30-56
Step-by-step explanation:
It would be to Multiply 30 and [tex]\frac{1}{6}[/tex].
list the first 3 terms, then evaluate
Answers
Answer:
[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex].
Step-by-step explanation:
The given expression is
[tex]\sum\limits_{i=1}^{10}(1-2i)[/tex]
We need to find first 3 terms, then we have evaluate the value.
Here,
[tex]a_i=1-2i[/tex]
For i=1,
[tex]a_1=1-2(1)=1-2=-1[/tex]
For i=2,
[tex]a_2=1-2(2)=1-4=-3[/tex]
For i=3,
[tex]a_3=1-2(3)=1-6=-5[/tex]
So first three terms are -1,-3,-5. It is an AP with first term -1 and common difference -2. So, next 7 terms are -7,-9,-11,-13,-15,-17,-19.
Now,
[tex]\sum\limits_{i=1}^{10}(1-2i)=(-1)+(-3)+(-5)+(-7)+(-9)+(-11)+(-13)+(-15)+(-17)+(-19)[/tex]
[tex]\sum\limits_{i=1}^{10}(1-2i)=-100[/tex]
Therefore, the value of [tex]\sum\limits_{i=1}^{10}(1-2i)[/tex] is -100.
For the graph, locate the x-intercept and y-intercept.
x-intercept = -4, 4, -8, or 8
y-intercept = -4, 4, -8, or 8
Answers
y-intercept = -8
Answer:
The x-intercept is at
✔ (6, 0)
The y-intercept is at
✔ (0,-2)
Step-by-step explanation:
this is for the second question of this problem
Use the distributive property to write the expression without parentheses. Then simplify the result, if possible.
1/3(6x+23)+1/3
Answers
please see the attached picture
hope it helps
good luck on your assignment
Me. Parsons wants to build a new banister for the staircase shown. If the rise of the stairs of a building is 5 feet and the run is 12 feet, what will be the length of the new banister?
I need this to be explained
Answers
A smart-phone is thrown upwards from the top of a 240-foot building with an initial velocity of 32
feet per second. The height h of the smart-phone after t seconds is given by the quadratic equation
h = - 16t2 + 32t + 240. When will the smart-phone hit the ground?
Answers
Answer:
t = 5 sec
Step-by-step explanation:
h = - 16t² + 32t + 240
On the ground h = 0.
- 16t² + 32t + 240 = 0 / : (- 16)
t² - 2t - 15 = 0
(t-5)(t+3) = 0
t = 5, t = - 3
Time can be only positive, so t = 5 sec
Michael has a home-based business putting on children's parties. He charges $45 to design the party and then $7.50 per child . Write a function rule ( equation) that relates the total cost of the party to the number of children n
Answers
Answer:
45 + ( 7.50*x)
Step-by-step explanation:
Answer:
I believe the answer is: [tex]f(x)=45+7.50x[/tex]
Step-by-step explanation:
45 because you start with it costing that much and then the 7.50x because each child costs 7.50 and you don't know how many there will be.
Solve this inequality.
-5x + 7 > 42
A. x> 245
B. x < -175
C. x > 7
D. x < -7
Answers
Answer:
x < -7
Step-by-step explanation:
-5x + 7 > 42
Subtract 7 from each side
-5x + 7-7 > 42-7
-5x > 35
Divide each side by -5, remembering to flip the inequality
-5x/-5 <35/-5
x < -7
How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction? Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x. Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x. Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x. Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.
Answers
Answer:
D- Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.
Step-by-step explanation: I did the test. Stay safe and have a good one!
Answer:
what the first person said "D"
Step-by-step explanation:
i need 29 part b and c please help!
Answers
Answer:
$1.50
Step-by-step explanation:
29 part c
3÷2= 1.50
3 is the cost
and 2 is the cups
for 3 drinks it would cost $1.50
Solve the equation using the Quadratic Formula: *
x2 – 3x + 3 = 5x + 1
Answers
Answer:
please mark brainly
Step-by-step explanation:
Answer:
Exact form : x = 4 ± √14
Decimal form : x 7.74165738..., 0.25834261...
Step-by-step explanation:
I hope this helps you out. ☺
please need help I will be MARKING as BRIANILIST, thank you so much.
Answers
Answer:
Here is the mpg for each 6 cylinder:
(23), (24), (30), (23) ,(21), (20) ,(23), (21) ,(23), (22)
i : between 20-24 = 9/10
ii between 25-29 = 0/10
iii at least 30 mpg = 1/10
c- 38, 28,25,26,24,25
d- the mileage of six cylinder car is less than the mileage of four cylinder cars using the same amount of fuel. it is somehow accurate, other factor that affects is the model of the car and how big it is.
I need help with this guys
Answers
Answer:
25:53
Step-by-step explanation:
75:159 have a common factor of 3
75/3=25
159/3=53
This list shows the number of years that 99 U.S. Supreme Court Justices served. 0 4 6 8 13 15 18 22 26 31 1 4 6 9 13 15 19 23 26 32 1 4 6 9 14 16 19 23 27 33 2 5 7 9 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 34 3 5 7 10 15 17 20 24 29 34 3 5 8 11 15 17 20 24 30 34 3 5 8 13 15 18 21 26 30 36 4 5 8 13 15 18 21 26 31 What number of years is the mode the Supreme Court justices served? a. 20 c. 23 b. 15 d. 5
Answers
Answer:
5
Step-by-step explanation:
Answer:
The answer is: D.)5
Step-by-step explanation:
I got it right on edge2021
The table below shows the price of movie tickets. Which equation can be used to find the price, p, of t tickets?
Answers
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Find the value of x. If necessary, round to the nearest tenth
Answers
Answer:
8
Step-by-step explanation:
→ Use trigonometry to find x, we have no hypotenuse so we utilise the TOA formula
TOA = Tan = Opposite ÷ Adjacent
→ The opposite of the triangle is 8√3 and we want to find the adjacent of this triangle so we rearrange
Opposite ÷ Tan
→ Substitute in the values
8√3 ÷ tan(60) = 8
HLP ! HLP ! HLP ! Last one
Answers
I converted each equation into the form y =\<\> Mx+b to find the slope and y intercept.
We know that the slope will be positive since the line is positive linear. We also know that the y intercept is 3, since the line crosses the y axis at 3.
Since the shaded part is above the line, the sign used will be this one: >
So therefore it’s the first one....
I need help with this
Answers
X2,Y1=(2,-3)
please help i’ll give brainliest !
Answers
Answer:
1: (ab)^3
2: 3m^2n^5
3: 15y^3x^7
4: 8s^5r^7
5: 6q^3p^5
Step-by-step explanation:
sorry but fot the explanation, it would take me 10 years to write but you can trust me with these answers
2.) 3m^2 n^5
3.)15x^7 y^3
4.) 8s^5 r^7
5.) 6p^5 q^3
Explanation:
For all the questions multiply the base numbers, if there are any. And add the exponent numbers. For example if the question is, (x^2)(x^4) add 2 and 4 to get 6. If there is more than one letter only add the like exponents with the same letter. For example, (x^2 y^2)(x^4 y^3) add 2+4=6 and 2+3=5, which means the final answer would be x^6 y^5
if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 6 hours a day ?
Answers
Answer:
6 days
Step-by-step explanation:
1
0 5 5 8
2
2 5 8
3
5 6
1 | O means 10
Match the stem-and-leaf plot to the correct set of data.
A. 10, 15, 15, 18, 22, 25, 28, 35, 36
B. 0,1,3,5,6,8
C. 1.0, 1.5, 1.5, 1.8, 2.2, 2.5, 2.8, 3.5, 3.6
D. 1.0558, 2.258, 3.56
Answers
Answer:
A. 10, 15, 15, 18, 22, 25, 28, 35, 36
Step-by-step explanation:
Stem and leaf plot
1 | 0 5 5 8
2 | 2 5 8
3 | 5 6
Example : 1 | 0 means 10
So, considering the examples :
1 | 0 5 5 8
10,15,15,15,18
2 | 2 5 8
22,25,28
3 | 5 6
35,36
So, the data set is 10,15,15,15,18,22,25,28,35,36
So, Option A is true
The area of a parallelogram is 12 ftsquared and the height is 3 ft. Find the length of the corresponding base.
Answers
______________________________
Hey!!
Solution,
Area= 12 ft^2
height= 3 ft
Now,
Area=b*h
or, 12=b*3
or,b=12/3
b=4 ft.
The value of base is 4 ft.
hope it helps
____________________________
If y is the number of yellow cars which variable expression represents the phrase below? The sum of the number of yellow cars and 9 red cars
Answers
Answer:
D. y+9
Step-by-step explanation:
Variable y is the number of yellow cars. There are 9 red cars.
So, find the sum, which means we will add y and 9. (We don't know the number of yellow cars)
Answer: y+9
what is the inverse of the function f(x)= 19/x³
Answers
Step-by-step explanation:
Let y = 19/x^3
y x^3 = 19
x^3 = 19/y
x = ∛(19/y)
The inverse is therefore
f-1(x) = ∛(19/x).
A briefcase in the shape of a rectangular prism has a height of 10 cm and a volume of 4,875 Centimeters cubed. What is the area of the base of the briefcase?
243.75 centimeters squared
487.5 centimeters squared
2,437.5 centimeters squared
4,865 centimeters squared
Answers
Answer:
Step-by-step explanation:
the correct question is
A briefcase in the shape of a rectangular prism has a height of 10 cm and a volume of 4,875 cm³. What is the area of the base of the briefcase?
we know that
volume of a rectangular prism=area of the base*height
volume=4875 cm³
h=10 cm
area of the base=volume/height
area of the base=4875/10-----> 487.5 cm²
the answer is
the area of the base is 487.5 cm³
Answer:
487.5 cm³
Step-by-step explanation:
8x + 9y = 9 3x – 5y = 20 a. (3.36, –1.99) c. (0, –1.99) b. (–1.11, 2.79) d. (3.36, 2.79)
Answers
Answer:
x = 225/67 , y = -133/67 or decimal x≈3.3582 and y≈-1.9851, thus a. is the answer rounded.
Step-by-step explanation:
Solve the following system:
{8 x + 9 y = 9 | (equation 1)
3 x - 5 y = 20 | (equation 2)
Subtract 3/8 × (equation 1) from equation 2:
{8 x + 9 y = 9 | (equation 1)
0 x - (67 y)/8 = 133/8 | (equation 2)
Multiply equation 2 by 8:
{8 x + 9 y = 9 | (equation 1)
0 x - 67 y = 133 | (equation 2)
Divide equation 2 by -67:
{8 x + 9 y = 9 | (equation 1)
0 x+y = -133/67 | (equation 2)
Subtract 9 × (equation 2) from equation 1:
{8 x+0 y = 1800/67 | (equation 1)
0 x+y = -133/67 | (equation 2)
Divide equation 1 by 8:
{x+0 y = 225/67 | (equation 1)
0 x+y = -133/67 | (equation 2)
Collect results:
Answer: {x = 225/67 , y = -133/67
What is 14% of 8.5? Round to the nearest hundredth (if necessary).
Answers
Answer:
1.19
Step-by-step explanation:
Hope this helps :) I try to just get straight to the point so sorry for no work
Write as a mixed number 5.06
Answers
Answer:
5[tex]\frac{3}{50}[/tex]
Step-by-step explanation:
0.06 = 6/100 = 3/50
Answer:
5 [tex]\frac{3}{50}[/tex]
Step-by-step explanation:
Find the area of the figure.
Answers
Answer:
First find the area of the rectangle.
length x width = area
160 x 20 = 3200 area of rectangle
150 - 20 = 130
160 - 110 = 50
length x width / 2 = area of triangle
130 x 50 = 6500 / 2 = 3250
3200+3250=6450 square meters
Hope this helps
Step-by-step explanation:
The number 16 has two square roots: 4 and _
Answers
Answer:
4
Step-by-step explanation:
4 times 4 = 16
Answer:
sqrt(16) = +4 and -4
Step-by-step explanation:
A square root has a positive and a negative square root
sqrt(16) = +4 and -4
