Answers
Answer:
D.
Step-by-step explanation:
There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.
Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...
SQ/PQ = TQ/RQ
From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.
(PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem
1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division
-PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)
PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)
Related Questions
If you live 1.5 miles from school and you walk at a rate of 3mph, when should you leave home in order to arrive at school by 9:00?
Answers
Work Shown:
time = distance/speed
time = (1.5 miles)/(3 mph)
time = (1.5/3) hours
time = 0.5 hours
time = 30 minutes
It takes 30 minutes to walk to school, so you should leave a half hour before 9:00. Subtracting 30 minutes from 9:00 gets you to 8:30. If anything, you should start a little bit before 8:30 just in case something might slow you down for one reason or another.
If a recipe uses 5 cups of flour for every 2 cups of sugar, how much sugar is used for every 1 cup of flour?
Answers
2/5 cup of sugar
you divide 5 by 5 to get 1 cup of flour, and you divide 2 by 5 to get 2/5 cup of sugar
two cards from an ordinary deck of 52 cards are lost at random. what is the probability that a random card from the resulting deck is a spade
Answers
Answer:
so theirs 4 suits so 1/4 but since you have 2 cards
its 1/2 or 50%
Hope This Helps!!!
A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under-filling or over-filling is occurring. If the sample data lead to a conclusion of under-filling or over-filling, the production line will be shut down and adjusted to obtain the proper filling.
a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
b. Comment on the conclusion and the decision when the null hypothesis cannot be rejected.
c. Comment on the conclusion and the decision when the null hypothesis can be rejected.
Answers
Answer:
b
Step-by-step explanation:
mark brainliest pls....
Given that
[tex] log_{4}(y - 1) + log_{4}( \frac{x}{2} ) = z \: \: and \: log_{2}(y + 2) + log_{2}(x) = z - 1 \: show \: that \: {y}^{2} = 1 + {8}^{z} \: and \: find \: the \: values \: of \: y \: and \: x [/tex]
when z = 1
Answers
Answer:
Gracias por los puntos
Bye :v
find the height of the tree
Answers
Use the property of similarity of triangles =》the corresponding sides of a triangle should be in the same ratio.
Take the missing side as 'x'.
The corresponding sides here are,
■ 7 & 14 ft
■ 5 & x ft
7/14 = 5/x
7x = 5 × 14 (cross multiplication)
7x = 70
x = 70/7
x = 10 ft
Height of the tree = 10 ft.
_____
Hope it helps ⚜
The Diamondbacks softball team orders a new baseball bat and pays $310.30 after tax. The tax rate is 7%. What is the original price of the baseball bat?
Answers
Answer: $255.58
Step-by-step explanation:
$310.30*0.07= $21.721
$310.30-$21.72= $255.579
Round
$255.579 --> $255.58
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every 5 liters of synthetic oil.
In order to make 1196 liters of Petrolyn oil, how many liters of natural oil are needed?
Answers
Answer:
it would need 40 liters of natural oil
8x5=40
Find a coordinate on the line.
y - 5 = 8(x + 2)
Question 3 options:
(8, 2)
(2, -5)
(-2, 5)
(-5, 2)
Answers
Answer:
(-2,5)
Step-by-step explanation:
The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $351.00. What was it worth a year ago?
Answers
Answer:
$270
Step-by-step explanation:
130%/100%=$351/X
(351*100)/130=$270
PLEASE HELP!!
what is the intermediate step in the form (x+a)^2=b as a result of completeting the square for the following equation?
x^2-34=16x
Answers
Answer:
1: x =(16-√392)/2=8-7√ 2 = -1.899
2: x =(16+√392)/2=8+7√ 2 = 17.899
Step-by-step explanation: I found two solutions it’s either one or two.
I hope this helped :) I tried my best.
Help on this algebra 2 question look at the pic. Is it’s A, B or C
Answers
Answer:
A is correct
Step-by-step explanation:
perimeter is twice the sum of the two adjacent sides
p = 2(x + (2x³ - 3x + 4))
p = 2(2x³ - 2x + 4)
p = 4x³ - 4x + 8
Identify which line the error is in (1 point)
• Describe the error that was made (1 point)
State what the correct answer should be
Answers
Answer:
Step-by-step explanation:
Simplify the following expression.
Answers
Answer:
-1
Step-by-step explanation:
[tex]3 + \sqrt{10 - {3}^{2} } + - 5 \\ = 3 + \sqrt{10 - 9} - 5 \\ = 3 + \sqrt{1} - 5 \\ = 3 + 1 - 5 \\ = 4 - 5 \\ = - 1[/tex]
Answer:
-1
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is the value of x?
Answers
Answer:
a. 125
Step-by-step explanation:
the angle labeled "x" is supplementary with the angle that has a measure of 55°
Supplementary angles add up to equal 180°
This means that x + 55 must equal 180
Note that we've just created an equation that we can use to solve for x.
We now solve for x using the equation we just created.
x + 55 = 180
subtract 55 from both sides
x = 125
The answer is a
BRAINIEST IF CORRECT
The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
V12
Answers
Answer:
The side of an equilateral triangle equals:
2 * height / sqr root (3)
side = 2 * sqr root (12) / sqr root (3)
side = 2 * 2 * sqr root (3) / sqr root (3)
side x = 4
Step-by-step explanation:
-12/5+3/10/11/14-(-9/14)
Answers
Answer:
-6/5
Step-by-step explanation:
I hope it helps, bye
Jeremiah's barber charges $20 for a haricut. The barber is increasing his prices by 40%. What will Jeremiah have to pay the barber the next time he gets a haircut?
Answers
Answer:
$28
20 plus 40 percent
that's the answer
Find the equation of the line that passes thru (-1,-5) and is parallel to 3x+y=-5. Show work.
Answers
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
slope-intercept form:
[tex]y=mx+b[/tex]
Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.
[tex]3x+y=-5[/tex]
In this case, all you need to do is subtract 3x from both sides.
[tex]y=-3x-5[/tex]
Here, the slope is -3. The slope of a parallel line will also be -3.
Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.
[tex]y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8[/tex]
Finally, with the slope and the y-intercept, you can write the equation of the line:
[tex]y=-3x-8[/tex]
Litter cleanup volunteers form 4 groups containing v volunteers
each. Then 10 more volunteers show up. The volunteers regroup
into 5 groups each containing 6 people. How many volunteers
were in each original group? Write an ALGEBRAIC EQUATION and solve to answer the question.
Answers
mom will let you know
Step-by-step explanation:
shes gone
HURRY PLS!
Evaluate if a= 4 and b=7
28÷ b+7
A. 14
B. 11
Answers
Step-by-step explanation:
Hi, I think correct variant is B
(28÷7)+7=4+7=11
What is f ( x ) = 2x + 2
A .4
B . 2
C . -2
Pick only 1 answer !!! Thank you
Answers
Answer:
X = -1 (unsure as to how this is not an answer but I have checked my work)
Step-by-step explanation:
( f(x) = y )
1. y = 2x + 2
-2 -2
2. -2 = 2x
/2 /2
3. -1 = x
(88)(√75)
HELP ASAP....
Answers
Answer:
sqr75=sqr25*sqr3=5*sqr3
88(5*sqr3)
decimal = 762.10235533
Answer:
440√3Step-by-step explanation:
Given:
88√75Solution:
88•√(5^2 * 3)Rewrite the expression as:
88•(5√3)Multiply 88 into 5:
440√3762.102 ( 3 decimal place )The ordered pair (8,2) is found in the ____ Quadrant
Answers
I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height
Answers
Answer: 69
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The x coordinate of vertex J and L are same of x= -2, JL // Y axis
Height is the perpendicular segment (KD) from K to JL, KD // X axis
area = JL * KD /2 = ((1 - -5)* (4 - -2)) / 2 = (6 * 6) / 2 = 18
Graph the following inequality and then select the correct graph below x + 2 > 1
Answers
Answer:
The graph is attached below.
Step-by-step explanation:
First, we want to isolate the "x" term from the equation. We do this by subtracting "2" from both sides.
This gives us x is greater than -1. So, we can graph:
Which of the following expressions are equivalent?
1. 6(a + 2)
2. 6a + 12
3.(2a + 4)
A). Only expressions 1 and 2 are equivalent.
B). Only expressions 1 and 3 are equivalent.
C). Only expressions 2 and 3 are equivalent.
D). Expressions 1, 2, and 3 are equivalent.
HELP QUICCK PLSSS
Answers
PLEASE HELP ASAP I REALLY NEED HELP
Evaluate the function for x = 2 and x = 7, when f(x) = -4x + 61
Answers
for x=2....value will be 53
for x=7.....value will be 33
brainliest......
Goran runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?
Answers
Answer:
he can run 4.2 miles
Step-by-step explanation:
rate=distance/time
6 miles/50min =3/25 miles per min
rate=distance//time
3/25=distance/35
3/25 * 35 =distance
4.2 =distance
ya this person is a bot be careful
charissa2