Answers
Answer:
YZ = 28
Step-by-step explanation:
A proportion involving the known and unknown sides is ...
TR/ST = ZY/SZ
__
This proportion uses SZ, which is not shown on the diagram. The length of SZ can be found from ...
SZ +ZT = ST . . . . . . . segment sum theorem
SZ + 5 = 40 . . . . with given values
SZ = 35 . . . . . subtract 5
__
So, the proportion with values filled in is ...
(3x -7)/40 = (2x +2)/35
7(3x -7) = 8(2x +2) . . . . . . . multiply by 280
21x -49 = 16x +16 . . . . . . . eliminate parentheses
5x = 65 . . . . . . . . . . add 49 -16x
x = 13 . . . . . . . . divide by 5
YZ = 2x +2 = 2(13) +2
YZ = 28
_____
Additional comment
RT = 3x -7 = 3(13) -7 = 32
Related Questions
Please Help!!!!!!!! In a recent year,24.7% of all registered doctors were female. If there were 43,200 female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number.
Answers
This is one single number just a bit under 175 thousand. Delete the comma if needed.
========================================================
Work Shown:
x = number of total doctors
24.7% of x = number of female doctors
0.247x = 43200
x = 43200/(0.247)
x = 174,898.785425101 approximately
x = 174,899 when rounding to the nearest whole number
Find the area of a square with a slide length of 7/12
Answers
[tex]\text{Area of square} = \text{Side}^2 = \left(\dfrac{7}{12}\right)^2 = \dfrac{49}{144}=0.3402\overline{7}~ \text{Units}^2[/tex]
Evaluate the expression 5p for p=2
Answers
Answer:
10
Step-by-step explanation:
when p=5
substituting p=5 into 5p.
5p = 5×2 =10
What is the classification of the pair of angles shown?
F. complementary
G. supplementary
H. vertical
I. no relationship
Answers
Answer:
Vertical
Step-by-step explanation:
Since both the angles are located directly opposite of each other, this is a vertical angle pair.
If f(x) -
X-3
and g(x) = 5x - 4, what is the domain of (f•g)(x)?
Answers
[tex] \frac{x}{10} + \frac{2}{y} = 1 \\ \frac{3x}{5} - \frac{4}{5y} = \frac{14}{5} [/tex]
solve by elimination method
Answers
Answer:
(5,4) Solved by using the elimination method.
Two great structures are
described below. What is the
difference, in square feet, between the visible
surface area of
the Great Pyramid and the first tower of the World Trade
Center? (Hint: The bottom side is not visible for either
structure.)
On September 11, 2001,
terrorists crashed planes
The Great Pyramid of
Giza, built around 2550
B.C., has a square base
with a length of 756 feet,
and the distance from
the middle of any base
side to the top is 612 feet.
into the World Trade
Center Twin Towers. The
first tower was a
rectangular prism with a
square base whose sides
were 208 feet long. The
tower was 1,368 feet tall.
Answers
The difference, in square feet, between the visible surface area of
The Great Pyramid and the first tower of the World Trade Center are 358704.
What is the lateral surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The lateral surface area of this rectangular prism = Perimeter x height
The Great Pyramid of Giza, has a square base with a length of 756 feet, and the distance from the middle of any base side to the top is 612 feet.
The first tower was a rectangular prism with a square base whose sides
were 208 feet long. The tower was 1,368 feet tall.
Total surface area = base area + (1/2 × perimeter × slant height)
Perimeter of base = 4 × 756 = 3024 feet
Slant height = 612 feet
Base area = 756² = 571536 feet²
The total surface area
[tex]= 571536 + (1/2 \times 3024 \times 612)\\ 1496880 feet^2[/tex]
The surface area of this rectangular prism = Perimeter x height
Perimeter of base = 4 × 208 = 832 feet
Area = [tex]832 \times 1368\\\\1138176[/tex]
The difference, in square feet, between the visible surface area of
the Great Pyramid and the first tower of the World Trade Center are 358704.
Learn more about the area;
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In which situation is it BETTER to use a credit card instead of a debit card?
Jackson likes earning rewards on his purchases.
Jane prefers to shop locally rather than online.
Blake makes automatic transfers weekly to his checking account.
) Jena's tight budget requires thinking carefully about each purchase.
Answers
Answer: Choice A
Jackson likes earning rewards on his purchases.
=========================================================
Explanation:
Debit cards do not give out reward points for using them. Credit cards on the other hand do offer such a feature. So if Jackson wants reward points, he'll need to use a credit card. This is why choice A is the answer.
Choice B is ruled out because shopping locally could involve either type of card, or simply cash, depending the merchant's payment preferences. There's no incentive to use a credit card here.
Choice C is ruled out because a debit card is tied to a checking account. Blake making weekly transfers to this account seems to heavily imply he uses it a lot; therefore, he's likely using a debit card here.
Choice D is ruled out because Jena being careful with money would likely use a debit card. With debit cards, you use only the money in the checking account. No money is borrowed like with a credit card. This means there's no worry about going into debt when using a debit card.
what is the 5th grade meaning of congruent
Answers
Find the distance between the two points in simplest radical form.
(-8,3) and (-2,5)
Answers
Here we would be using distance formula to calculate the distance between those two points.
Points are,
(-8,3) (-2,5)★ Distance Formula :
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]We have :
x1 = -8 x2 = -2 y1 = 3 y2 = -5Substituting the values :
Refer the attachment.Additional Information :Centroid of a triangle :-
[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]Please help me solve this question, I will mark brainly.
Andrew bought a computer costing #150000. How much will the same computer cost in 3 years time if the rate of inflation is 12% per annum.
Answers
Answer:
I have no Idea btw have a great day
Select the correct answer.
Alejandra is packing a bag for a flight. The airline has a baggage welght limit, and Alejandra has already packed her bag with some essentials. All
she has left is her outfits and shoes, which must weigh less than 30 pounds total.
If Alejandra estimates that one outfit welghs two pounds and one pair of shoes welghs three pounds, which graph represents the number of
outfits and shoes that Alejandra can pack while staying under the weight limit?
Answers
x=30-2y/3
(10,0),(8,3),(6,6)
6log_(5)x^(3) in a form that does not use exponents
Answers
Step-by-step explanation:
did you meant 6log_10? *text because it need to be 20 characters*
Answer:
18log_5x
Step-by-step explanation:
log(a^b) = b·log(a)
6log_(5)x^(3) =
6(3log_5x)
18log_5x
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3 – 9x = –6 – 8x
What is X
Answers
the answer for this question is x = 9
x=9 ig
but how did I get -3?
how many mL of normal saline should be added to 50mL of hydrogen peroxide to create a solution that is 5/8 strength?
Answers
I think… hope I’m right lol
Which will usually always be a higher amount?
A. Compound interest
B. Time
C. Debit
D. Simple interest
Answers
pls help do today:(!!
Answers
[tex] \qquad\qquad\huge\underline{\boxed{\sf Answer}} [/tex]
The correct way to write the name of a ray is :
[tex] \large \tt Problem\:\: 1 [/tex]
[tex] \sf \overrightarrow{DC}[/tex][tex] \large \tt Problem \:\:2 [/tex]
[tex] \sf \overrightarrow{IG}[/tex][tex] \large \tt Problem \:\:3 [/tex]
The Correct choice is C
Ray has one end point and continues forever on the other side.
Find the area of the shaded region.
Answers
Answer:
3316
Step-by-step explanation:
Hope it will help you
An individual is selling tickets for a new movie that just came out. The first night the individual sold 45 Senior tickets and 92 Adult tickets. The second night, the individual sold 26 Senior tickets and 45 Adult tickets. Which night did the individual sell a higher ratio of Senior tickets to Adult tickets?
Answers
Step-by-step explanation:
the ratio senior to adult tickets on the first night :
45/92
the ratio on the second night :
26/45
which ratio is higher ? that means we have to determine which fraction is bigger.
the simplest and fastest way to compare them is to bring them to the same denominator (bottom part).
and the simplest way to do that is simply by multiplying the numerator and denominator of each fraction by the denominator of the other fraction :
45/92 × 45/45 = 2025 / 4140
26/45 × 92/92 = 2392 / 4140 (this is therefore bigger)
so, the ratio on the second night is higher.
Given the sequence 1,1,2,3,5,8….,find the 6th term
Answers
Answer:
8 is the ans because it is 8
9.9 ft 7.2 ft The figure above shows a movie screen with dimensions shown in feet. What is the length of the diagonal of the screen, in feet? Give the exact solution or round your answer to the nearest tenth of a foot.
Answers
Answer:
12.2
Step-by-step explanation:
use the Pythagorean theorem to determine the diagonal
9.9^2 + 7.2^2 = d^2
d = 12.2
Write the expression “3 times the quantity n plus 6" as an algebraic expression.
Answers
Answer:
3n+6
Step-by-step explanation:
"3 times the quantity n" = 3 * n = 3n
3n+6
I need help I have to get to 80%
Answers
Answer:
118
Step-by-step explanation:
Because if you add 34 and 28 you get 62 then if you minus 62 from 180 you get 118. Then you get 180 because all of the angles have to equal 180 degrees.
a bag og of grass seed weigh 5.8 pounds. how many
pounds would 2.5 weighs?
Answers
Answer:
the answer is 8.3 it weigh
If x = 2 and y = 3, then 4x
Answers
Answer: 8
Step-by-step explanation: Substituting x for 2 since we know the value, 4(2) is 8.
Answer: 8
Step-by-step explanation:4*2=8
The radius of a circle is 17 ft. Find its circumference in terms of pi
Answers
4. Find the area of the triangle.
9 km
16 km
Answers
Answer:
72
Step-by-step explanation:
Triangle area formula: A = 1/2 (B) (H)
This means the area of a triangle is half of the base times the height.
So we can plug the numbers into the formula:
A = 1/2 (16) (9)
16 x 9 is 144, divided by 1/2 is 72.
Final answer 72.
8. An angle that contains 126° 32' is a/an Angle
angle.
A. straight
B. obtuse
C. right
D. acute
Answers
Answer:
B Angle obtuse Since 126o 32 ' is bigger 90o but smaller than 180o.
Step-by-step explanation:
Acute: An angle that measures < 90o.
Right: An angle that measures 90o.
Obtuse : An angle that is > 90o but < 180o.
Straight: An angle that measures 180o.
Write the number in standard notation. 9 × 104
90,000
904
360
9,000
Answers
Answer:
90000
Step-by-step explanation:
because 10^4 = 10,000
then 9 x 10,000 = 90,000
please help
Q10)In a box of 25 switches, 13 are round and the rest are squared. What is the probability of randomly selecting a switch that is squared?
Q11) Oak trees shade 30% of the Fitzgerald’s’ backyard. What is the probability that someone standing at a random point in the backyard will NOT be in the shade?
Marble drawing experiment
Color Times Drawn
Pink 12
Green 10
Blue 16
Yellow 12
Q12. A marble is drawn from a bag and then its color is recorded in the table
a) Find the experimental probability of drawing a blue marble
b) Find the experimental probability of drawing a pink or a yellow marble
c) Find the experimental probability of drawing not a green marble
Q13) Two 1–6 number cubes are rolled—one is black and one is white. Find the following probabilities.
a) Rolling an odd number and then the number 5.
b) The black cube shows a multiple 3 and the product of the rolls is less than or equal to 6.
c) The white cube shows an even number, and the sum is 8.
Q14). A bag contains 10 blue cubes, 15 red cubes, and 25 green cubes. Find each probability.
a) A green cube and then a blue cube are chosen at random with replacement.
b) A red cube and then a blue cube are chosen at random without replacement
c) Two cubes of the same color without replacement
