Answer:
Step-by-step explanation:
9) PQR Is an isosceles triangle
=> ∠PRQ = (180° - x)/2
PRS is an isosceles right triangle
=> ∠PRS = 45°
Have: ∠PRS + ∠PRQ = 115°
=> [tex]\frac{180-x}{2}+45=115 \\[/tex]
=> 180 - x = (115 - 45).2 = 140
<=> x = 180 - 140 = 40
10) ABD is an isosceles right triangle => ∠ABD = 45°
BCD is an equilateral triangle => ∠CBD = 60°
have: x = ∠ABD + ∠CBD = 45° + 60° = 105°
11) have: x = y (2)
PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40
QTS is an isosceles triangle => ∠TQS = 180 -2x
QRS is an isosceles triangle => ∠RSQ = y
have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)
(1)(2) => [tex]\left \{ {{y=x} \atop {2x-y=40}} \right.\\\\=> \left \{ {{x=40} \atop {y=40}} \right.[/tex]
=> x + y = 80
12) EFJ Is an equilateral triangle => ∠FJE = 60
∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle
=> 60 = 2.∠JHF => ∠JHF = 30°
∠JHF is the outer angle of the triangle FHG
=> 30° = 2x
<=> x = 15°
I need help on this question
Answer:
105 [tex]cm^{2}[/tex]
Step-by-step explanation:
Rectangle 2 is 3 times rectangle 1. We know this because one side of rectangle 2 is 3 times the same side of rectangle 1. Area of rectangle 1 × 3 = area of rectangle 2: 35 × 3 = 105 [tex]cm^{2}[/tex]I hope this helps!
Answer:
B- 105 cm
Step-by-step explanation:
Which expression is equivalent to StartFraction negative 18 a Superscript negative 2 Baseline b Superscript 5 Baseline Over Negative 12 a Superscript negative 4 Baseline b Superscript negative 6 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
A. StartFraction 2 a squared b Superscript 11 Baseline Over 3 EndFraction
B. StartFraction 2 a squared b Superscript 30 Baseline Over 3 EndFraction
C. StartFraction 3 a squared b Superscript 11 Baseline Over 2 EndFraction
D. StartFraction 3 a squared b Superscript 30 Baseline Over 2 EndFraction
Answer:
B
Step-by-step explanation:
I just took the test
Answer:
A.
Step-by-step explanation:
Which statement explains how to determine if triangle ABC is similar to triangle XYZ?
Answer:
It is the last one
Step-by-step explanation:
There aren't enough angles
A $52 video game is advertised for 20% off.If sales tax is 6% how much will the video game cost
Answer:
S44.10
Step-by-step explanation:
20% of 52 is 41.6
6% of 41.6 is 2.49600 US$ which rounds to 2.50
2.50+41.6=44.1
$44.10
In the right ∆ABC, BL is an angle bisector. If LB = 1.2 in and LC = 0.6 in.
Find the distance from L to AB
AND find the measurement of
Answer:
[tex]\overline {LD}[/tex] = 0.6 inch
m∠ABC = 60°
Step-by-step explanation:
The given parameters are;
The given triangle ΔABC = A right triangle
The angle bisector of ∠CBA = BL
The length of BL = LB = 1.2 in.
The length of LC = 0.6 in.
We have;
[tex]\overline {LB}[/tex] ≅ [tex]\overline {LB}[/tex] reflexive property
∠ABC = ∠CBL + ∠DBL and ∠CBL ≅ ∠DBL definition of bisected angle
∠CBL = ∠DBL by definition of congruency
∠CLB + ∠CBL = ∠CLB + ∠DBL = 90°, opposite angles of a the right angle triangle are supplementary
∴ ∠CLB = ∠CLB by addition property of equality
ΔLDB ≅ ΔLBC are congruent by the Angle-Side-Angle rule of congruency
∴ [tex]\overline {LD}[/tex] ≅ [tex]\overline {LC}[/tex] Congruent Parts of Congruent Triangles are Congruent (CPCTC)
[tex]\overline {LD}[/tex] = [tex]\overline {LC}[/tex] = 0.6 in. by definition of congruency
[tex]\overline {LD}[/tex] = 0.6 in.
sin(m∠CBL) = Opposite side/(Hypotenuse side) = [tex]\overline {LC}[/tex]/[tex]\overline {LB}[/tex] = 0.6/1.6 = 1/2
m∠CBL = sin⁻¹(1/2) = 30°
m∠CBL = m∠DBL = 30°
m∠ABC = m∠CBL + m∠DBL = 30° + 30° = 60°
m∠ABC = 60°
Washington Middle School wants to collect more than 1,300 cans of food for a local charity. So far, they have collected 762 cans. Which inequality can be used to determine the number of cans, n, they need to collect each day for the next 4 days to meet their goal?
Answer:
762 + 4n > 1300
Step-by-step explanation:
Help Asap!! Determine if the two triangles are congruent
The ratio of cats to dogs in the park was 3 to 7, if there were 36 cats in the park, how many dogs were there
9514 1404 393
Answer:
84 dogs
Step-by-step explanation:
We can multiply each of the numbers in the ratio by 12 to see the answer:
cats : dogs = 3 : 7 = 36 : 84
There were 84 dogs in the park.
what is the length of BC in the right triangle below?
Answer:
The answer should be 15
Step-by-step explanation:
Suzy ordered some games online for $19 each. She paid a total of $8 for shipping. The total cost of the purchase was $122. How many games did she buy? 7) Using the word problem above, write an equation to find the number of games Suzy bought. (Hint: Don't do any of the steps to solve it, just write the equation) Your answer
Answer:
6
Step-by-step explanation:
122-8 shipping =114 /19=6
Pls help or else meh mom will be my bum D:
Alice, Dairon, and Ozzie went to the mall to shop for school supplies. Alice spent $14.25 on her supplies. Dairon spent $2.30 more than Alice spent. Ozzie spent two times as much money as much as Dairon spent. How much did Ozzie spend on school supplies?
Answer: 33.10
Explanation: 14.25 + 2.30 = 16.55 x 2 = 33.10
Tina rode her bike a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)
Answer:
64
Step-by-step explanation:
1.6 x 40 it's math
PLEASE HELP!! WILL GIVE BRAINLIEST!!
An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation:
f(t) = -16t² + 80t
where t is time in seconds and f(t) is height in feet.
Find how long it will take the arrow to hit the ground using an algebraic method
Show all of your reasoning/steps used with this algebraic method.
Answer:
this is unsolvable because you dont know what the height in feet is
Given that lines a and b are parallel, angles 2 and 6 are congruent because they are _____________ angles, and angles 5 and 8 are congruent because they are _____________ angles.
Answer:
parallel and parallel
Kara paid a total of $155 to her gym. She has to pay a gym
membership cost $25 to sign up and $10 for each month. How
many months were purchased?
Answer: 13 months.
Step-by-step explanation:
25+10+10+10+10+10+10+10+10+10+10+10+10+10= $155
Find the value of x in this equation.
2
2/5 (4x – 3) – 2x = 4/5 - x
Answer:
[tex] \huge \blue{x = \frac{10}{3} } \\ [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} (4x - 3) - 2x = \frac{4}{5} - x \\ [/tex]
Multiply through by 5 to eliminate the fractions
[tex]5 \times \frac{2}{5} (4x - 3) - 2x(5) = 5 \times \frac{4}{5} - 5x \\ 2(4x - 3) - 10x = 4 - 5x \\ 8x - 6 - 10x = 4 - 5x[/tex]
Simplify the terms
[tex] - 2x - 6 = 4 - 5x \\ - 2x + 5x = 6 + 4 \\ 3x = 10[/tex]
Divide both sides by 3
We have the final answer as
[tex]x = \frac{10}{3} \\ [/tex]
Hope this helps you
Factor completely:
4a^2+8a-140
Answer:
24a-140 is the correct answer
Step-by-step explanation:
4a²+8a-140
4a×4a=16a+8a-140
24a-140
solve this question and help save my life!
The next two term is 13 and 16 respectively.
Step-by-step explanation:
here,
a1 = -2
a2 = 1
a3 = 4
a4 = 7
a5 = 10
So, d = a2 - a1 = 1 - (-2) = 3
= a3 - a2 = 4 - 1 = 3
Here, Common difference is same everywhere and the value of d is 3
Then,
To find 6th term of this sequence
a6 = a5 + d
= 10 + 3
a6 = 13
To find 7th term of this sequence
a7 = a6 + d
= 13 + 3
a7 = 16
Thus, The next two term is 13 and 16 respectively.
-TheUnknownScientist
An advertisement reads “All Books 28 Percent Off.” A best-selling novel is originally priced at $18.99. About how much money will Gio save if he buys the novel on sale?
$2
$6
$10
$14
Answer:
6 dollars i think
Step-by-step explanation:
Answer:
Gio will save about $6.
Step-by-step explanation:
You would convert 28% to a decimal which is 0.28 and then multiply 0.28 by $18.99 and you would get $5.3172 which is closest to $6 so it would be B. about $6
pls answer this pls i’m gonna die
It 's an isosceles triangle if you look carefully. 2 Sides of the triangle are equal which is denoted by those marks. The angles opposite to the equal sides are always equal, so: [tex]m\angle FST = 64^\circ[/tex]
By angle sum property, [tex]m\angle TFS = 180 - 2 * 64 = 180 - 128 = 52^\circ[/tex]
52 degrees is the answer: Option D :D
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]
FT = FS \: \: → \: \: angle \: \: T = angle \: \: S \\ [/tex]
Thus ;
[tex]angle \: \: S = 64°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Sum of the interior angles of any triangle is 180° .
Thus ;
[tex]T + F + S = 180°[/tex]
[tex]64° + F + 64° = 180°[/tex]
[tex]F + 128° = 180°[/tex]
Subtract sides 128°
[tex]F + 128° - 128° = 180° - 128° \\ [/tex]
[tex]F = 52°[/tex]
So :
[tex]TFS = F = 52°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is Option four .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
PLEASE HELP!!! WILL MARK BRAINLIEST!!
Answer:
A
Step-by-step explanation:
I’m pretty sure since you’ve taken a cube from the original cube and relocated it, that means is not part of the surface area anymore.
I could be wrong tho lol
Answer:
i think it is b
Step-by-step explanation:
Write a slope-intercept form equation for a line that
passes through (0,4) and (2,-2).
Show the step by step process please.
Can someone please solve those for me i need them in by 8am tomorrow
Answer this question very very fast first to have correct answer will get brainiest :)
Answer:
Option d.
Amelie read 30 pages of a book. she read 1/5 of the pages on monday. how many pages did she read on monday?
If 500g of a material goes through four half-lives, how much material will be left? Round to two decimal places.
A. 125g
B. 62.5g
C. 250g
D. 31.25g
4. Sasha sells t-shirts. Each day she earns a set amount, plus a
commission. Write a linear function fto determine Sasha's pay.
T-shirts 1 2 3 4 5
Total Pay 68 71 74 77 80
Answer:
The linear function is: p(x) = 3x+65The linear function is: p(x) = 3x+65
Step-by-step explanation:
Let x be the number of t-shirts and y be the total pay
As we can clearly see in the table that there is a linear relationship between x and y
A linear function is given as:
[tex]y = mx+b[/tex]
Here m is the gradient of the function then
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Taking any two pairs of x and y
(1,68) and (2,71)
[tex]m = \frac{71-68}{2-1}\\m = 3[/tex]
Putting in equation
[tex]y = 3x+b[/tex]
Putting a pair (1,68) in the equation to find the value of b
[tex]68 = 3(1) + b\\68 = 3+b\\b = 68-3\\b = 65[/tex]
Putting the value of b
[tex]y = 3x+65[/tex]
Let p(x) be the linear function
Hence,
The linear function is: p(x) = 3x+65
Answer:
y=3x+65
Step-by-step explanation:
The simplest form of 3/5 divided by 5/7
Answer:
Step-by-step explanation:
3/5 ÷5/7= 21/25
Is finding the value for the variable the only solution to real-world problems? Explain
Answer:
Sample Response: No. In many real-world scenarios, the variable is a value that is compared to other quantities. The value for the variable is used to find the quantities it is compared to.
Step-by-step explanation:
edge2020
Answer:
No. In many real-world scenarios, the variable is a value that is compared to other quantities. The value for the variable is used to find the quantities it is compared to.
Which of the following figures has rotated 90 counterclockwise about the origin?
Answer:
I believe the answer is B, although im not quite sure.
Your making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much salt is needed for one teaspoon of baking soda
Answer:
1/2 teaspoon salt
Step-by-step explanation:
We can make this into a ratio of salt:baking soda
1/8:1/4
now, how many 1/4 will we need to make 1?
If we multiply 1/4 by 4, we get one. So, we should do the same to 1/8!
1/8*2=4/8, or 1/2 teaspoon