Answers
Answer:
x=5
∠ABD = 33
∠A = 115
Step-by-step explanation:
Once again here are the properties of a trapezoid:
Opposite angles are congruent
Opposite side lengths are congruent
And here is a property of a triangle:
the measure of the angles add up to equal 180
Given this information we need to find
x, ∠ABD and ∠A
First lets find x
Remember opposite side lengths are congruent
Segment AD and segment BC are opposite side lengths ( which are congruent)
That being said we create an equation to solve for x
2x = 10
step 1 divide each side by 2
2x/2=x
10/2=5
we're left with x = 5
Now lets find ∠A
∠C and ∠A are opposite angles
so ∠C≅∠A
Because ∠C = 115 ∠A also = 115
Finally lets find ∠ABD
because ∠BDC and ∠ABD are opposite angles we can find the measure of ∠BDC and get the value of ∠ABD
ΔBDC is a triangle formed within the parallelogram
That being said we can find the measure of ∠BDC using the triangle angle rule (stated previously)
That the measures of the angles in a triangle add up to equal 180
So we can find the missing angle (∠BDC) by subtracting the given angles ( which have a measure of 32 and 115) from 180
∠BDC = 180 - 32 - 115
180 - 32 - 115 = 33
so ∠BDC = 33
Meaning that ∠ABD also = 33
Related Questions
If f(x) = x2 + 3x + 1, what is f(x + 2)?
Answers
Answer:
- f(X+2) = x^2 +7x +11
Step-by-step explanation:
- f(X) = x^2 +3x+1
- f(X+2) =(X+2)^2 + 3(X+2) + 1
- f(X+2) = x^2 + 4x + 4 + 3x + 6 +1
- f(X+2) = x^2 +7x +11
Answer:
Step-by-step explanation:
x2+3x+1
f(x+2)= 2x+3x+1
=5x+1
i need help plz..................................
Answers
Write an integer to represent spending $50
Answers
The integer that represents spending $50 is -50
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.12 for each minute of calls. Plan B costs $15 plus an additional $0.10 for
each minute of calls.
For what amount of calling do the two plans cost the
Same?
Answers
Answer:
250 minutes
Step-by-step explanation:
10 + 0.12x = 15 + 0.10x
0.02x + 10 = 15
0.02x = 5
x = 250
Your welcome!
Kayden Kohl
8th Grade Student
Can someone find the slope of a line parallel to 5x+2y=6
Answers
Answer:
-5/2
Step-by-step explanation:
5x+2y=6
First, put the equation in slope-intercept form
y = mx+b where m is the slope and b is the y intercept
Subtract 5x from each side
5x-5x+2y=-5x+6
2y = -5x+6
Divide each side by 2
2y/2 = -5/2x +6/2
y = -5/2 x +3
The slope is -5/2x
Lines that are parallel have the same slope
Find the volume of this
prism.
Answers
Answer:
Volume of the prism =area of base*height
=[3*3+3*6]*9
=243 cm³
Alternate
Volume of prism : l*b*h+l*b*h=3*3*9+3*6*9=243cm³
Marcia needs to wrap a gift box that's 16 in x 18 in x 44 in.
How much wrapping paper will she need to cover the surface area of the box?
A) 1,784 in^2
B) 12,672 in^2
C) 6,336 in^2
D) 3,568 in^2
Answers
Answer:
B. 12,672 in^2
16 x 18 x 44 = 12672
Answer:
D.
Step-by-step explanation:
3[(5x + 1) - 2) = 2(4x - 3)
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Exact Form:
x=−3/7
Decimal Form:
x=−0.¯¯¯¯¯¯¯¯¯¯¯428571
hello there
I am looking for help here pls
Answers
Answer:
b
Step-by-step explanation:
I'm not sure how to explain this if it is correct plz mark as brainiest
Evaluate.
(2a−1/3)÷b/15 when a=−3/5 and b=−6.75
Enter your answer as a simplified mixed number in the box.
Answers
Answer:
[tex]3 \frac{11}{27} \\ [/tex]
Step-by-step explanation:
[tex](2a - \frac{1}{3} ) \div \frac{b}{15} \\ (2 \times - \frac{3}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) \div \frac{ - 6.75}{15} \\ ( \frac{ - 18 - 5}{15} ) \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \times - \frac{15}{6.75} \\ \frac{23}{6.75} \\ \frac{23 \times 100}{6.75 \times 100} \\ \frac{2300}{675} = 3 \frac{11}{27} \\ [/tex]
Answer:
Step-by-step explanation:
Find the value of x. The diagram is not to scale.
Given: angle SRT = angle STR, M Angle SRT = 20, m angle STU = 4x
Answers
In the given diagram, the value of x is 40
From the question,
we are given that
∠ SRT = ∠STR, and m ∠SRT = 20,
Also, from the question
m ∠STU = 4x
To determine the value of x,
From the diagram,
We can observe that
∠STR + ∠STU = 180° (Sum of angles on a straight line)
Since ∠ SRT = ∠STR, and m ∠SRT = 20,
Then,
∠STR = 20
Then,
∠STR + ∠STU = 180° becomes
20 + 4x = 180
To solve this,
First, subtract 20 from both sides
20 - 20 + 4x = 180 - 20
Then,
4x = 160
∴ x = 160 ÷ 4
x = 40
Hence, the value of x is 40
Learn more here: https://brainly.com/question/20707795
Answer:
Step-by-step explanation:
The answer is 40.
x=40
In a random sample of 175 community college students, the mean number of hours spent studying per week is 13.7 hours and the standard deviation is 4 hours.
Assuming the distribution of the number of hours community college students study per week is normally distributed, approximately how many of the students in the sample study between 9.7 and 17.7 hours per week?
Answers
Answer:
Approximately there are 119.47 students per week
Step-by-step explanation:
The # of students in the sample study between 9.7 and 17.7 hrs per week;
P (9.7 < x < 17.7) = P ((9.7 - 13.7)/4 < 7 < (17.7-13.7)/4)
P (-4/4 < 7 < 4/4)
P (-1 < 7 < 1)
0.8413 - 0.1587
0.6827
Therefore the # of student = n P
175 * 0.6827
119.47
What is the graph of y <= 5x + 2?
Answers
help pls asap math problem
Answers
Answer:
PHOTO MATH KANALANG
Step-by-step explanation:
BAKA MERON ANS DON
The serving size for the granola that Ted likes to eat for breakfast is 3/4 cup. How many cups will he have eaten if he ate 3 servings? Show your work
Answers
Answer:
2 1/4
Step-by-step explanation:
3/4+3/4+3/4= 9/4 = 8/4 +1/4
=2 1/4
can u help solve for x 3(x-4)-12=2(x-6)+8
Answers
Answer:
[tex]{ \rm{3(x - 4) - 12 = 2(x - 6) + 8}} \\ \\ { \rm{3x - 12 - 12 = 2x - 12 + 8}} \\ \\ { \rm{3x - 24 = 2x - 4}} \\ \\ { \rm{3x - 2x = - 4 + 24}} \\ \\ { \rm{x = 20}}[/tex]
PLZZZ HELP!!!!!!!!!!!!!!!!!!!!!!
Harrison and Sherrie are making decisions about their bank accounts. Harrison wants to deposit $200 as a principal amount, with an interest of 2% compounded quarterly. Sherrie wants to deposit $200 as the principal amount, with an interest of 4% compounded monthly. Explain which method results in more money after 2 years. Show all work.
Answers
Answer:
HarrisonPrincipal P = 200Interest rate r = 2% = 0.02Number of compounds n = 4Time t = 2Total amount:
[tex]A = P(1+r/n)^{nt}=200*(1+0.02/4)^{4*2} = 208.14[/tex]SherriePrincipal P = 200Interest rate r = 4% = 0.04Number of compounds n = 12Time t = 2Total amount:
[tex]A = P(1+r/n)^{nt}=200*(1+0.04/12)^{12*2} = 216.63[/tex]As we see the second method is a better choice
Answer:
SHERRIE
- Princible P= 200
- Interest rate R= 4% or 0.04
- Number of compounds N= 12
- Time T= 2
HARRISON
- Princible P= 200
- Interest rate R= 2% or 0.02
- Number of compounds N= 4
- Time T= 2
Formula: A= P(1+r/n)^nt
Now plug in values for each person:
200(1+0.02/4)^4*2= 208.14
200(1+0.04/12)^12*2= 216.63
And as you can see, the second method (Sherrie's) is the best choice.
Step-by-step explanation:
3 Equivalent ratioS for 7:9
Answers
Answer:
21:27
14:18
35:45
Step-by-step explanation:
These are only a few
The marked price of a table and six chairs is sh 10500. Kang’ori bought the set on hire purchase at sh 10815. (a) Express the extra amount of money he paid as a percentage of the market price. (b) If he paid monthly instalments of sh 1150 for 6 months, what deposit did he pay?
Answers
9514 1404 393
Answer:
(a) 3%
(b) sh 3915
Step-by-step explanation:
a) The extra amount is ...
10815 -10500 = 315
As a percentage of the marked price, this is ...
315/10500 × 100% = 3%
__
b) The total paid is the sum of the down payment and the monthly installments:
10815 = down + 1150×6
10815 -6900 = down . . . . . . . . . . subtract 1150×6 from both sides
down = 3915 . . . . . . . . . evaluate
The deposit paid was sh 3915.
helen has a basket of apples. bob has 2/3 the amount of apples in his basket. if the difference in the amount of apples in their baskets is 9, find the amount of apples helen and bob have in their baskets. WILL GIVE BRAINLIEST IF CORRECT!
Answers
Answer:
Helen has 27 apples and Bob has 18.
Step-by-step explanation:
What is the value of the y-intercept of the graph of f(x) = e^1-x – 1?
Answers
Answer:
(0, e-1) or (0, 1.718) to the nearest thousandth.
Step-by-step explanation:
The y-intercept occurs when x = 0 so here we have:
y = e^(1 - 0) - 1
= e - 1
So the y-intercept is the point (0, e-1)
Factorise
8f^2 + 7f
plz help! answer will get brainliest!!!
Answers
Answer:
f(8f + 7)
Step-by-step explanation:
8f^2 + 7f
= f(8f + 7)
The factor of 8f² + 7f is f(8f + 7).
What is factorization?Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.
Given:
An expression,
8f² + 7f.
To find the factor:
8f² + 7f,
= f(8f + 7)
Therefore, f(8f + 7) is the factor.
To learn more about the factorization;
https://brainly.com/question/28187946
#SPJ2
Helpppppppp!!! it’s urgent
Answers
Answer:
6
Step-by-step explanation:
75-6=4y+4y+3.5y
or 11.5y=69
or y=69\11.5
=6
Answer:
- 7.5 y - 4y= 6 - 75
Step-by-step explanation:
= - 11.5y = -69
= y = 6
Just #19. I don’t know how to solve. Please help me solve. I need steps with the numbers. I will give brainliest.
Answers
Answer:
In 2x[tex]\geq[/tex]8 the answer is: x[tex]\geq[/tex]4
Step-by-step explanation:
If we look at the 2x[tex]\geq[/tex]8, we can easily solve it. We know that the [tex]\geq[/tex] symbol means greater than or equal to. If we go by greater than, it could be any number of numbers. However, we know that it is also possible equal. For this to be true, then whatever 2 is being multiplied by must possibly give a product of eight also. Because of this, we can use the knowledge that 2*4 equals 8. So we simply put it in. x must be greater than or equal four in order to make the statement true. Remember the greater to or equal than part. It could be more than four. We are just saying the minimum of x would be four.
You are playing a card game. If you pull an Ace you win $26, if you pull the King of hearts you win $204, if you pull a jack or a queen you win $13, all other pulls you lose. What price should you be charged to make this a fair game?
$5
$7
$6
$8
Answers
Using the expected value, it is found that a price of $6 should be charged to make it a fair game.
--------------------------
The game is fair if the expected value is 0.The expected value is given by each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.In a standard deck, there are 52 cards.
The cost of x.
There are 4 Aces in a standard deck, thus [tex]\frac{4}{52}[/tex] probability of earning 26 - x.
There is 1 King of Hearts in a standard deck, thus [tex]\frac{1}{52}[/tex] probability of earning 204 - x.
There are 4 Jacks and 4 Queens in a standard deck, thus [tex]\frac{8}{52}[/tex] probability of winning 13 - x.
The other 39 cards you lose, thus [tex]\frac{39}{52}[/tex] probability of losing x.
Considering we want the expected value to be 0.
[tex]\frac{4}{52}(26 - x) + \frac{1}{52}(204 - x) + \frac{8}{52}(13 - x) - \frac{39}{52}x = 0[/tex]
[tex]\frac{4(26 - x) + 204 - x + 8(13 - x) - 39x}{52} = 0[/tex]
[tex]104 - 4x + 204 - x + 104 - 8x - 39x = 0[/tex]
[tex]52x = 312[/tex]
[tex]x = \frac{312}{52}[/tex]
[tex]x = 6[/tex]
$6 should be charged.
A similar problem is given at https://brainly.com/question/24905256
This figure has two intersecting lines and a ray.
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
The correct answer is 24
Step-by-step explanation:
K12 test
figure has two intersecting lines and a ray.
From this figure, the value of x= 24
Given :
Two intersecting lines and a ray. one angle is 110 degrees.
opposite to 111 degrees are 87 and x degrees
From the two intersecting lines, we know that vertical opposite angles are equal .
111 degrees and 87+x are vertical opposite angles
So, they are equal .
Lets make them equal and solve for x
[tex]111=87+x[/tex]
Now we subtract 87 on both sides and solve for x
[tex]111-87=87-87+x\\\\x=24[/tex]
So the value of x is 24 degrees
Learn more : brainly.com/question/68367
can yall help me with maths I will give you the brainlis something soo
Answers
If x=0.8 and y=0.25, find y when x=0.125
Answers
Answer:
0.0390625
Step-by-step explanation:
by the equation then x=y*(16/5)
then when x=0.125 , y = 0.0390625
Identify the function shown in this graph.
A.y=-x+3
B. y=-5x + 3
C. y=-5x-3
D. y = 5x - 3
Answers
Let (x1, y1) = (0, 3)
(x2, y2) = (1, -2)
Use the slope formula and substitute the values:
m = (y2 - y1)/(x2 - x1)
m = (-2 - 3)/(1 - 0)
m = -5/1 or -5.
Therefore, the slope (m) = -5.
The y-intercept (b) is the point on the graph where it crosses the y-axis, and has coordinates (0, b). Looking at the graph, the y-intercept occurs at (0, 3). Therefore, the y-intercept (b) = 3.
Therefore, the linear function of the graph is y = -5x + 3.
The correct answer is B: y = -5x + 3.
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
I NEED HELP WITH THESE MATH PROBLEMS. I put 30 points for this.
1. The go-cart traveled at 10 miles per hour for half an hour. How far did it travel? show your work.
2. Gooey Good Bakery can bake 16 cakes in 1 hour. How many cakes can the bakery make in 5 3/4 hours? show your work.
3. Jennifer is adding a border to the quilt she made. Her quilt is 6 feet long and 5 feet wide. With an extra 6 inches to overlap, how much border material will she need? show your work.
4. The Marvelous Marble Company makes 100 marbles in 2 hours. How many hours would it take the company to make 1000 marbles? show your work.
5. A feather floats to the ground at a speed of 2 centimeters per second. Find the distance the same feather travels if it floats down for 20 seconds. show your work.
Answers
Answer:
1.5 miles
2.92
3.
Step-by-step explanation: