Answers
Answer:
x=7
Step-by-step explanation:
(x+16)=(4x-5)
Subtract x from both sides
16=3x-5
Add 5 to both sides
21=3x
Divide both sides to get x=7
Both angles are congruent due to the vertical angles theorem which states that if angles are vertical then they are congruent.
Hope this helps!
Related Questions
At Emmy's Swimwear, there are 28 bikini styles and 42 other types of swimsuit. What percentage of the swimsuit styles are bikinis?
Answers
Answer:
Approximately 66.66% of swimsuit styles are bikinis.
Step-by-step explanation:
Given
Bikini styles Swimwear = 28Other types of Swimsuit = 42Let 'x' be the percentage of the swimsuit styles are bikinis.
so
x% of 42 = 28
[tex]\frac{x}{100}\times \:42=28[/tex]
[tex]42x = 100 \times 28[/tex]
[tex]42x = 2800[/tex]
divide both sides by 42
[tex]\frac{42x}{42}=\frac{2800}{42}[/tex]
simplify
[tex]\:\:x\:\approx \:66.66\:\%[/tex]
Therefore, Approximately 66.66% of swimsuit styles are bikinis.
=
Knowledge Check
Write 51,238 in expanded form.
How do you write 51,238 in expanded form?
Answers
Answer:
50,000+1,000+200+30+8=51,238
Step-by-step explanation:
Answer:
50,000 + 1,000 + 200 + 30 + 8
Step-by-step explanation:
Find the cost of 80 Orange at 5 for 30 naria
Answers
To solve this tricky question, let the cost price (CP) of an orange is 1 Rs.
Now CP of 80 oranges = 80 Rs………..(1)
And we know that
Profit= SP (selling price) - CP (cost price)
Here;
Profit = SP of 80 oranges - CP of 80 oranges…….(2)
{Here profit is already given that is CP of 20 oranges }
By (2);
CP of 20 oranges = SP of 80 oranges - CP of 80 oranges
Or
CP of 100 oranges = SP of 80 oranges
Or
SP of 80 oranges = 100 Rs…………(3)
{ cp of 1 orange is 1 Rs.}
Here we have
CP = 80 rs.
SP = 100 rs.
% profit = (SP - CP)*100/CP
% profit = (100–80)*100/80 = 20*100/80 = 25%
So %profit is 25%
Which relationship describes angles 1 and 2?
Question 1 options:
vertical angles
complementary angles
supplementary angles
adjacent angles
Answers
Answer:
it describes vertically opposite angle
A certain field is a rectangle with a perimeter of 870 feet. The length is 191 feet more than the width. Find the width and length of the rectangular field
Answers
Answer:
it is 679
Step-by-step explanation:
At a campground, kayak rental company A charges a fixed amount of $10 plus $8 per hour for renting a one-person kayak. Company B charges a fixed amount of $6 plus $10 per hour for a one-person kayak.
Which statements comparing the two rentals are correct?
Select all that apply.
A. For 1 hour, both companies charge the same amount
B. For 1 hour, company A charges more than company B
C. For 2 hours, both companies charge the same amount
D. For 3 hours, company A charges more than company B
E. For 4 hours, company B charges more than company A
Answers
Answer:
a,c,e
Step-by-step explanation:
Answer:
B, C, & E
Step-by-step explanation:
Drag and drop the correct terms to classify the triangles based on sides or angles.
Answers
2. Isosceles
3. Scalene
4. Right
5. Acute
6. Obtuse
The triangles are classified below.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An equilateral triangle is a triangle where all three sides are equal.
The right triangle is a triangle where one angle is 90 degrees.
An isosceles triangle is a triangle where two sides are equal.
An obtuse triangle is a triangle where the angle is greater than 90 degrees
An acute triangle is a triangle where the angles are less than 90 degrees.
A scalene triangle is a triangle where all three sides are different.
Now,
Side 5 cm, 5 cm, 5 cm, and 5 cm is an equilateral triangles.
Since all the sides are the same.
Sides of 3 cm, 5 cm, and 5 cm is an isosceles triangle.
Since the two sides are the same.
Sides of 3 cm, 5 cm, and 7 cm is a scalene triangle.
Since all three sides are different.
Angles of 40°, 50°, and 90° is a right triangle.
Angles of 40°, 60°, and 80° is an acute triangle.
Angles of 40°, 40°, and 100° is an abtuse triangle.
Thus,
The triangles are classified above.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ5
An elevator weighing 15,000 newtons is raised one story in 50 seconds. If the distance between stories is 3.0 meters, how much power is required of the motor? 750,000 W 45,000 W 5,000 W 900 W
Answers
Answer:
900 W
Step-by-step explanation:
can anyone help me with this please marking brainly :)
Answers
Answer:
I can answer Part B since I can't explain Part A in words.
Step-by-step explanation:
Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)
Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)
Angle 4 = 81 degrees (I also don't know how to explain this.)
what is pie? explain
Answers
Answer: Do you mean a pie chart or a dessert pie? anyway i will answer for the pie chart
Step-by-step explanation:
pie charts are used in data handling and they are circular divided up into different segments which each represent a value or a different size
Which value of the variable is a solution of the inequality t > -5
Answers
Answer:
-4 and any number above.
PLZZZ ASAP I NEED HELP!!!!
describe the volume of a rectangular prism and a rectangular pyramid with the same dimensions related.
Answers
Answer:
the relationship between a prism and a pyramid with equal bases and heights is the volume of the prism is three times the volume of the pyramid.
Step-by-step explanation:
A secret code is made up of three digits followed by
two letters. How many different codes can be made if digits and
letters can be repeated? I NEED ASAP PLS HELP
Answers
FIND THE VALUE OF X! please help !
Answers
Answer:
yes, it's 20
Step-by-step explanation:
first you should find the area
Movie tickets cost $12 per ticket. A student wrote the equation c= 12+n to represent the cost (c) of buying n number of tickets.
Answers
Answer:
The equation is incorrect because the equation should be c=12n, not c=12+n which will get the incorrect answer.
Step-by-step explanation:
plz very hard question
Answers
Answer:
150ft^2
Step-by-step explanation: all you need is the base (15 feet) and the height (20 feet) multiply and you get 300. 300/2 (triangle area.) and you get 150ft^2
A store owner spends 7x + 13 dollars on two orders of boxes of light bulbs, including shipping.
Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second-order?
10x + 18
4x + 8
21x + 65
10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars? Enter the number in the box.
Answers
Answer:
[tex]B = 4x + 8[/tex]
A box = $11
Step-by-step explanation:
Given
[tex]Total = 7x + 13[/tex]
Represent the first order with A and the second with B.
So, we have:
[tex]A = 3x + 5[/tex]
Solving (a): Find B.
To find B, we make use of:
[tex]A + B = Total[/tex]
Make B the subject
[tex]B = Total - A[/tex]
Substitute values for Total and A
[tex]B = 7x + 13 - (3x + 5)[/tex]
Open bracket
[tex]B = 7x + 13 - 3x - 5[/tex]
Collect Like Terms
[tex]B = 7x - 3x + 13 - 5[/tex]
[tex]B = 4x + 8[/tex]
Solving (b): Cost of a box of light bulb
This means that:
[tex]Total = 90[/tex]
Substitute 7x + 13 for Total
[tex]7x + 13 = 90[/tex]
Collect Like Terms
[tex]7x = 90 - 13[/tex]
[tex]7x = 77[/tex]
Make x the subject
[tex]x = \frac{77}{7}[/tex]
[tex]x = 11[/tex]
In the first quadrant you start at (6, 10) and move 6 units right and 4 units down what point will you end up with
Answers
Answer:
(12,6)
Step-by-step explanation:
If you move 6 units right, you get to (12,10). Moving 4 units down takes you to (12,6).
x and y are inversely proportional (that is, x and y vary inversely). When x=2/3 then y=6. The value of x, when y=0.5, is ___________.
Answers
Answer:
x = 8
Step-by-step explanation:
inversely proportional expression: y = k/x where 'k' is the constant of variation
input x and y values to find 'k'
y = k/x
6 = k ÷ 2/3
6 = k · 3/2
cross-multiply: 3k = 12; so, k = 4
now input 4 for k and 0.5 for y to find x:
0.5 = 4/x
0.5x = 4
x = 8
solve x : 3 (x-1) +7= 4x +2 -3 (2-x)
Answers
Answer:
Step-by-step explanation:
x=2
remove the parentheses. cancel the equal terms. calculate. move the terms. calculate. divide both sides. x=2
The local gym wants to expand the entire building by doubling the size. Find the perimeter of the entire rectangle
Answers
Answer:
the perimeter is 50x
Step-by-step explanation:
The sale amount is 1,250.00, 5% sales tax.
a. whats the sales Tax
b. What's the total amount paid
Answers
Answer:
1250*.05=62.5. Then just add it to the amount for the total dollars shw needs to spend with tax
Step-by-step explanation:
pls help 20 points I just need an explanation
Answers
Answer:
i=prt
i = 1,000 x 0.045 x 1.5
Step-by-step explanation:
two friends are knitting scarves. Each scarf has 3 rectangles and 2/3 of the rectangles have stripes, If the friends are making 10 scarves, how many rectangles do they need? How many rectangles will have stripes?
Answers
Answer:
They need 30 rectangles and 20 of those rectangles will have stripes.
Step-by-step explanation:
3 x 10 = 30, (2/3) x 30 = 20
What is a solution to the equation 6t = 114?
A t = 19
B t = 108
C t = 120
D t = 684
Answers
Answer:
A t=19
Step-by-step explanation:
6t=114
t=114/6
t=19
Answer:
t=19
Step-by-step explanation:
ANSWER QUICK IM TIMED
Answers:
A. (Negative 4, Negative 2 and one-half)
B. (Negative 4, 2 and one-half)
C. (4, negative 2 and one-half)
D. (4, 2 and one-half)
Answers
Your X=4
Your Y=-2 1/2
Answer:
C
Step-by-step explanation:
The 4 (x) is positive and the -2 1/2 (y) is negative.
X is only positive when it's past zero on the right side, on the left it is negative.
Y is only positive when its past the zero and going up, and is negative going past the zero and down.
Can I get some help on this math problem
Answers
Answer:
[tex]x=3\sqrt{5}[/tex]
Step-by-step explanation:
Right Triangles
Right triangles have one of its interior angles with a measure of 90°.
In right triangles the Pythagora's Theorem is satisfied.
Being c the longest side (hypotenuse), a and b the shorter sides (the legs), then:
[tex]c^2=a^2+b^2[/tex]
We have modified the image to include some known data. Both triangles are congruent since they share one side, have a right angle, and have the same base length.
This means the value of x can be calculated as the hypotenuse of the triangle 3-6-x:
[tex]x^2=3^2+6^2=9+36=45[/tex]
[tex]x=\sqrt{45}=\sqrt{9*5}[/tex]
[tex]\boxed{x=3\sqrt{5}}[/tex]
1. A bag contains 4 gold coins and 5 silver coins. Two coins are taken out at random from the bag, one at a time, without replacement. Find the probability that
a. Both coins are gold.
b. The first coin is silver and the second coin is gold.
Answers
I think it's b. the first coin is silver and the second coin is gold.
1345667-123445=?answer first
Answers
Answer:
1,222,222 is the answer
Step-by-step explanation:
You can use a calculator to find out.
tiffany makes money by commission rates. She gets 21% of everything she sells. If tiffany sold $27000 worth of items this month, what is her salary for the month .
Answers
Answer:
[tex]Salary = \$5670[/tex]
Step-by-step explanation:
Given
[tex]Items = \$27000[/tex]
[tex]Rate = 21\%[/tex]
Required
Determine her salary
Her salary is calculated as:
[tex]Salary = Rate * Items[/tex]
This gives:
[tex]Salary = 21\% * \$27000[/tex]
Convert % to decimal
[tex]Salary = 0.21 * \$27000[/tex]
[tex]Salary = \$5670[/tex]