4) The correct statement is B: LMN > QMP by SSS. 5) The correct statement is G: TRP > SRP by SSS.
Question 4
The correct answer is B: LMN > QMP by SSS.
In triangle LMN, all three sides are congruent, so it is an equilateral triangle. In triangle QMP, all three sides are also congruent, so it is also an equilateral triangle. Therefore, both triangles are congruent by SSS. This means that LMN and QMP have the same side lengths, and therefore LMN > QMP.
Question 5
The correct answer is G: TRP > SRP by SSS.
Since P is the midpoint of TS, then TP = SP. Also, TR = SR = 1.4 inches. This means that the two triangles TRP and SRP have all three sides congruent, so they are congruent by SSS. Therefore, TRP > SRP.
To learn more about statement here:
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Helps me solve this problem please
Answer:
0,2
Step-by-step explanation:
Triangle ABC was transformed to be triangle FED using
one transformation.
What transformation was performed?
A)translation
B)dilation
C)reflection
D)rotation
Answer:
the triangle was rotated about 90 degrees i think
Answer:
The answer is D. Rotation
Step-by-step explanation:
Took the test lol
Please Help!!!!!!!!!!!!!!!!!
Carlo is building a wooden box that is shaped like a cube. He wants the box to have a volume of 64 cubic inches. How many square inches of wood does Carlo need to build the box?
Answer:
Area of wood required = 96 in²
Step-by-step explanation:
Since volume of a cube = Length × Width × Height
64 = (Side)³
Side = 4 inch
Area of the wood required to build a wooden box = Surface area of all 6 sides of the cube
= 6(Area of one side of the box)
= 6(Side)²
= 6(4)²
= 96 inch²
Therefore, 96 square inches of wood will be required to build the wooden box.
Answer:
Step-by-step explanation:
1. The length of one edge of the box is 4 inches due to the 64 cubic inches being 4 x 4 x 4 with all sides being equal.
2. The area of a face of the box is height x width, therefore 4 x 4 = 16 inches squared .
3. The total area of all faces is the answer from part 2 x all faces of a box, which is 6; therefore 6 x 16 = 96 inches squared.
4. Carlos needs 96 square inches of wood to build his box.
Expand and simplify
(7 + V6 )^2
Answer:
36V²+84V+49
Step-by-step explanation:
since it is (7+6V) in two places,therefore
7(7+6v)+6v(7+6v)
49+42v+42v+36v²
36v²+84v+49
find the slope of the line passing through the points (-5,5) and (-5,-8)
Answer:
1
Step-by-step explanation:
5-8 -3
----------=
-5--8 -3
-3
-----= 1
-3
Hope this helps!
Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *
1 point
75°, 105°
72°, 108°
60°, 120°
40°, 140° Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *
1 point
75°, 105°
72°, 108°
60°, 120°
40°, 140°
Answer:
75°, 105°
Step-by-step explanation:
Supplementary angles sum to 180°
Sum the parts of the ratio, 5 + 7 = 12 parts
Divide 180° by 12 to find the value of one part of the ratio.
180° ÷ 12 = 15° ← value of 1 part of the ratio, thus
5 parts = 5 × 15° = 75°
7 parts = 7 × 15° = 105°
yay! tysm guys for helping me on this test! i got a 85! :)
Answer:
Proud of you!! <3 :)
Step-by-step explanation:
Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will convert the gas station into a drive-through Christmas wrapping
station. Customers will drive in, drop off their gifts, return the next day, and pick up their wrapped gifts. He needs $332,200 to rent the gas station, purchase wrapping paper, hire workers, and
advertise. If he borrows this amount at 61% Interest for those two months, what size lump sum payment will he have to make to pay off the loan? (Round your answer to the nearest cent.)
Correction is the question: 6[tex]\frac{1}{2}%[/tex]% = 6.5%
Answer:
Amount to be repaid is $335798.833
Step-by-step explanation:
Amount of loan = $332,200
Rate of interest = 6.5%
time = 2months = 2/12 = 1/6 years
The amount of interest is simple interest
SI = [tex]\frac{P * R * T}{100}[/tex]
=[tex]\frac{ 332200 * 6.5 *1 }{100 * 6}[/tex]
= $3598.833
Final amount to be repaid = 332200+ 3598.833
= $335798.833
i'll mark you as brainliest
Answer:
the answer is 6
Step-by-step explanation:
Find the area of a square with a side that measures 2.2 centimeters.
Answer:
4.84cm squared
Step-by-step explanation:
square has 4 equal sides area = l x w l and w are 2.2*2.2
2.2*2
4.84cm squared
Hope this helps :D
Answer:4.84 cm^2
Step-by-step explanation:
Area = Length x Width
Area = 2.2 x 2.2
Area = 4.84 cm^2 (centimeters squared)
Find X please
36/x=8/7
Answer:
i think x=31.5
Step-by-step explanation:
the answer is x = 31.5
Helpp me plzzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
Answer:
side angle side. Seems contrary
Answer:
side angle side. Seems contrary
Step-by-step explanation:
If Marie were to paint her living room alone, it would take 3 hours. Her sister Patricia could do the job in 6 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
Answer: 2
Step-by-step explanation:
the rate Marie paints the room= 1/3
The rate her sister paints the room= 1/6
working together their combined rate is 1/3+1/6 =9/18
the time for then to work together= 9/18
= 2 hours.
I NEED HELP ASAP!!!! Pleaseeee
Answer:
jhcgskuaygrhfksrhdfcgiuzx6yh
.luc
Step-by-step explanation:
How much higher is 500 than -400m
Answer:
Obvious 500 is higher than -400m
Simplify the expression.
4 (-y + 2) – 3y
A. y – 8
B. -7y + 2
C. -7y + 8
D. y + 8
SHOW YOUR WORK PLZSSSSSS
Answer:
B
Step-by-step explanation:
Expand to get -4y+2-3y. Combine like terms to get -7y+2.
Suppose you loan $320 to a friend and charge them 11% annual interest. If they don't pay any back, how many years will it take for them to owe you $2,000? Round your answer to the nearest hundredth (2 places after the decimal).
Step-by-step explanation:
For them to owe you a total of$2000 then an interest of $2000-320=$1680 must have accrued over the time T
T=$1680×100/320×11
T=47.7272...≈47.73 to the nearest hundredth
Proof,
Interest after 47.7262...years which is converted to 525/11 years
=($320×11×525/11)/100
=$1680
therefore total amount which will be owed at that time =principal+interest accrued
=$320+1680=$2000
The measures of the angles of the triangle solve for x
Answer:
x = 8
Step-by-step explanation:
if the angle is equal to 36º that means (3x+12)º = 36º so simplify the equation and solve for x
3x+12 = 36
3x = 24
x = 8
Answer:
x = 8
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
3x + 12 + 54 + 90 = 180, simplify
3x + 156 = 180 ( subtract 156 from both sides )
3x = 24 ( divide both sides by 3 )
x = 8
PH is the midsegment of Triangle KLM. Find the value of x.
Answer:
x = 26
Step-by-step explanation:
The midsegment is parallel to the side KM and half its length, thus
KM = x = 2 × 13 = 26
4) A TV is on sale. The TV has been reduced by 20%. The sale price is £540. What was the
original price of the TV?
Answer:
675
Step-by-step explanation:
If the price is 20 % off, then we will pay 100-20 = 80 percent of the original price
Let x be the original price
x* 80% = 540
Change to decimal form
x * .80 = 540
Divide each side by .80
.80x / .80 = 540/.80
x =675
The original price is 675
What is the opposite of - 7/16
Answer: Positive 7/16
Step-by-step explanation:
Answer:
7/16
Step-by-step explanation:
because the opposite of a negative is a positive.
Evaluate Functions
Given f(x) = 2x + 6 and g(x) = 5x - 1
Evaluate f(-2)
Answer:
f(-2) = -4x + 6
Step-by-step explanation:
f(x) = 2x + 6
f(-2) = -2(2x) + 6
f(-2) = -4x + 6
Answer:
f(- 2) = 2
Step-by-step explanation:
To evaluate f(- 2), substitute x = - 2 into f(x), that is
f(- 2) = 2(- 2) + 6 = - 4 + 6 = 2
Which of the following fractions is equivalent to 2:11?
A.
3/11
B.
2/12
C.
2/11
Answer:
Step-by-step explanation:
Step 1:
2 : 11 Ratio
Having a ratio is the same thing as dividing so if you divide 2 by 11 you get 2/11.
Step 3
2 ÷ 11
Answer:
C. 2/11
Hope This Helps :)
What is the average rate of change for f(x) = -5* + 140 over the interval 1 sxs 3?
es )
A)
-120
B)
-60
120
D)
60
Answer:-60
Step-by-step explanation:
plz help and give explaination of how to do it
Answer:
25% decreased by 60% is 10
Step-by-step explanation:
New value =
25 - Percentage decrease =
25 - (60% × 25) =
25 - 60% × 25 =
(1 - 60%) × 25 =
(100% - 60%) × 25 =
40% × 25 =
40 ÷ 100 × 25 =
40 × 25 ÷ 100 =
1,000 ÷ 100 = 10
hope this helps :)
Which expression has exactly 2 terms
A.5y2
B.A+b+2
C.3x+y
D.4n
Answer: C
Step-by-step explanation:
Kat runs 12 miles each week. How
many miles will she have run after
20 weeks?
Answer: 240 miles
Step-by-step explanation:
please solve both questions, i'm very confused! thank you
Answer:
Step-by-step explanation:
These types of problems can be solved with substitution.
We just have to translate the word problem into math.
#1:
F = family, I = individual
[tex]F + I = 188\\95F + 42I = 12,507[/tex]
[tex]F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87[/tex]
87 Families, 101 individuals
#2:
The perimeter is 899 meters. The perimeter can be defined as:
[tex]2L + 2W = P\\2L + 2W = 899[/tex]
We are also given that
[tex]2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = \frac{W-100}{2} = \frac{333-100}{2} = \frac{233}{2}[/tex]
W = 333 meters, L = 233/2 meters
write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers
Given:
The line passes through (-3,-6) and (2,-2).
To find:
The equation of line.
Solution:
If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through (-3,-6) and (2,-2). So, the equation of line is
[tex]y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))[/tex]
[tex]y+6=\dfrac{-2+6}{2+3}(x+3)[/tex]
[tex]y+6=\dfrac{4}{5}(x+3)[/tex]
[tex]y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)[/tex]
Subtract 6 from both sides.
[tex]y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6[/tex]
[tex]y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}[/tex]
[tex]y=\dfrac{4}{5}(x)+\dfrac{-18}{5}[/tex]
[tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex]
Therefore, the equation of line is [tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex].
Jessica started the school year when she was 64.15 inches tall. She grew 2.87 inches during the school year. How tall, in inches, was Jessica at the end of the year? Show your work.
Answer:
67.02 inches
Step-by-step explanation:
If Jessica started out 64.15 inches and grew 2.87 inches then you know that you must add these together.
64.15 + 2.87 = 67.02
Jessica is 67.07 inches at the end of the school year.