Answers
Answer:
Step-by-step explanation:
From the picture attached,
There are two parallel lines intersected by three transverse lines.
m∠2 = 98°, m∠3 = 23°, m∠8 = 70°
a). Since ∠1 and ∠2 are linear pairs,
m∠1 + m∠2 = 180°
m∠1 + 98° = 180°
m∠1 = 180 - 98
m∠1 = 82°
b). m∠4 = m∠7 [Corresponding angles]
m∠7 = 180° - (m∠2 + m∠3) [Property of a triangle]
= 180 - (98 + 23)
= 180 - 121
= 59°
m∠4 = m∠7 = 59°
c). m∠5 = 180° - (m∠3 + m∠4)
= 180° - (23° + 59°)
= 180° - 82°
= 98°
d). m∠6 = 180° - (m∠7 + m∠8)
= 180° - (59° + 70°)
= 180 - 129
= 51°
e). m∠7 = 59° [Calculated in part b]
f). m∠9 = 180° - (m∠4 + m∠8) [Property of a triangle]
= 180° - (59 + 70)°
= 180 - 129
= 51°
g). m∠10 = 180° - m∠9
= 180 - 51
= 129°
Related Questions
Sadie weights out 690 grams of flour. Using the rate from Q4, how many cups did she weigh?
Answers
Answer:
172.5 cups
Step-by-step explanation:
Q4 = 690
Q = [tex]\frac{690}{4}[/tex] = 172.5
∴ She weighed 172.5 cups
if your birthday is September 1st 1998 how old are you
Answers
Answer:
22
Step-by-step explanation:
Subtract 2020 by 1998 to get 22
How do you use what you know about absolute value to add integers?
Answers
Please please help ASAP! Classify each angle!
Answers
Answer:
Acute Angles: ∠TLS, ∠SLT, ∠ULR Right Angles: --------- Obtuse Angles: ∠RLT, ∠SLU, ∠ULS, Straight Angles: ∠RLS, ∠TLU Not angles: ∠TRLStep-by-step explanation:
The lines intersect at point L, so all angles have a vertex (middle letter) L so there is no angle TRL
Straight angle is a line with dot-vertex, so the straight angles are ∠RLS and ∠TLU.
∠TLS is less than 90° then it is acute angle (∠SLT is the same angle). ∠ULR is vertex angle to ∠TLS, so it's also acute angle.
Two angles adding to straight angle mean that they are both right angles or one is acute and the second is obtuse. ∠TLS is acute so ∠RLT is obtuse (they adding to ∠RLS) and ∠SLU is obtuse (they adding to ∠TLU). ∠ULS is the same angle as ∠SLU.
A shirt is on sale for 40% off. The sale price is $12. How much was the original price? *
Answers
Answer:
$20
Step-by-step explanation:
Let the variable x in this equation represents the original price of the shirt:
100% - 40% = 60%
60% of x = $12
0.6x = $12
x = $12/0.6
x = $20
What is the prime factorization of 90?
Answers
====================================================
Explanation:
Divide by the smallest prime 2
90/2 = 45
Then divide by the next smallest prime 3 (since 2 won't go into 45)
45/3 = 15
Repeat the last step
15/3 = 5
We stop because the result is prime.
Note the denominators are 2, 3, 3. The final result is 5 which is prime.
So the prime factors are 2, 3, 3, and 5
They multiply to 2*3*3*5 = 90.
We can condense it to 2*3^2*5 = 90 because 3*3 = 3^2.
Answer and Step-by-step explanation:
The prime factorization of 90 is 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3, and 5 are the prime numbers. You can find "prime factorization" by following two simple steps. Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.
Hope you found this helpful! Have a wonderful day! <3
Figure B is a scaled copy of Figure A.
Figure A
Figure B
What is the scale factor from Figure A to Figure B?
Answers
Greetings from Brasil...
Comparing the distances AB and A'B ', we notice that AB = 3 and A'B' '= 9.
We can say that:
AB · X = A'B'
3 · X = 9
3X = 9
X = 9 ÷ 3
X = 3
Thus, figure B is 3x larger than figure A
scale factor = 3x larger
Answer:
x=3
Step-by-step explanation:
AB = 3 and A'B' '= 9.
hope this helps
what is the answer?
Answers
a)In the scale drawing, the height of the houses is 8 inches. What is the height of the real house?
b)The length of the real house is 35 feet. What is the length of the house in the scale drawing.
Answers
Answer:
a) 40 ft
b) 7 inches
Step-by-step explanation:
A) Multiply the given scale factor by 8 to get 8 inches:
1 in : 5 ft ⇒ 8 in : 40 ft
The real house is 40 ft high.
__
B) If you like, you can write the proportion ...
dwg / (35 ft) = 1 in / (5 ft)
Multiplying by 35 ft gives ...
dwg = (1 in)×(35 ft)/(5 ft) = 7 in
The length of the house in the scale drawing is 7 inches.
Answer:a=40
b=7
Step-by-step explanation:
did it on aleks
Pythagorean theorem
Answers
Answer:
8.7
Step-by-step explanation:
hypotenuse= 14 =c
a=11
b=x
a²+b²=c²
b²=c²-a²
b²=14²-11²
b²= 196-121
b²=75
b=√75=5√3=8.7 rounded to the nearest tenth
Final Answer:
x = 8.66
Step-by-step explanation:
formula: [tex]b=\sqrt{c^2-a^2}[/tex]
a = 11
b = x
c = 14
[tex]b=\sqrt{14^2-11^2}[/tex]
[tex]b=\sqrt{196-121}[/tex]
[tex]b=\sqrt{75}[/tex]
b = 8.66025
x = 8.66
rounded off to the nearest hundredths: 8.66
Round o.oo9 to the nearest hundredth.
Answers
Answer:
0.01
Step-by-step explanation:
When rounding to the nearest hundredth, you look in the thousandths place to see if the number is 5 or greater. In this case it is. The hundredths place then moves up one number.
=0.01
Hope this helps!
A = 2x + 6xz Solve for X
Answers
Answer:n=28
Step-by-step explanation:
Help pleasee
Mazes has been saving $7 each week, today he spent $77 of the savings, and now he has $42 left,for how many weeks has he been saving
Answers
Answer:
17 weeks
Step-by-step explanation:
add 77 and 42 then divide by 7
-2(x+1)(x-2) what is the y-intercept?
Answers
Answer:
The y-intercept is at 4.
Step-by-step explanation:
When trying to find the y-intercept, you want to substitute your x's with 0 as x must equal 0 for your y-intercept. This gives you -2(0+1)(0-2). From here, you want to simplify your parenthesis equations.-2(1)(-2) Then you want to solve which gives you 4.
if a cheetah runs 1 mile a second how many miles does he run in one minute
Answers
Answer:
The answer would be 60 miles.
Step-by-step explanation:
There are 60 second in a minute. If a cheetah runs 1 mile a second, the equation would be 1 mile X 60 seconds. 1x60=60.
Hope this helps!
What part of 3.5 is 0.5?
Answers
Answer: it is 7.0
Hope it will help you come on and mark me as brailiest
Explanation :
A plane traveled 360 miles each way to Athens and back. The trip there was with the wind. It took 3 hours. The trip back was into the wind. The trip back took 6 hours. Find the speed of the plane in still air and the speed of the wind.
Answers
Answer:
S=32.5
W=97.5
Step-by-step explanation:
S=speed of plane in still air
W=speed of wind
-----------------------------------------
3(S+W)=130
6(S-W)=130
-----------------------------------------
S+W=43.33333...
S-W=21.66666...
2S=64.999...
S=32.5(simplified)
-----------------------------------------
32.5+W=130
W=97.5
-----------------------------------------
Simply the equation 1 1/3
Answers
1.3 i think that is the answer
Is the identity property the same as the simplify property?
Answers
Answer:
La propiedad de la identidad de 1 dice que cualquier número multiplicado por 1 mantiene su identidad. En otras palabras, cualquier número multiplicado por 1 permanece igual. El número permanece igual porque multiplicar por 1 significa que tenemos 1 copia del número. Por ejemplo, 32x1=32.
Step-by-step explanation:
Solve for k.
6 + -4k = 18
k=
Answers
k=-3
6*(-4k)=18
subtract 6 from both sides
-4k=12
divide by -4 on both sides
k=-3
Answer:
[tex] \sf \: k = - 3[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of k.
The equation is,
→ 6 + (-4k) = 18
Then the value of k will be,
→ 6 + (-4k) = 18
→ 6 - 4k = 18
→ -4k = 18 - 6
→ -4k = 12
→ k = 12 ÷ (-4)
→ [ k = -3 ]
Hence, the value of k is -3.
In the diagram, line segment CD is the perpendicular bisector of line segment AB, and E is a point not on either line that is on the same side of segment CD as point A.
Is point E closer to point A, closer to point B, or the same distance from both points? Explain how you know.
Answers
Answer:
E would be closer to A
explanation:
if they were the same distance from both A and E it would be a point on the line CD, and if it was closer to E it would be on the other side of line CD.
i hope this is right :/
Help WILL MARK AS BRAINLIEST WHAT IS 5 X 5 / 8 - 10 =
Answers
Answer:
- 55 = -6.88
8
Step-by-step explanation:
5 X 5 / 8 - 10
5² - 10
8
25 - 80
8
- 55 = -6.88
8
Steps to solve:
5*5/8-10
~Simplify
25/-2
~Simplify
-12.5
Best of Luck!
A. A blue container weighs 20 pounds.
A red container weighs 5 pounds.
How much more does the blue
container weigh than the red
container?
Answers
Answer:
The blue container ways 15 more pounds.
Step-by-step explanation:
Subtract 5 from 20 and it gives you 15.
20- 5= 15
The endpoints of a line segment are (-2, -4) and (6, 2) What are the coordinates of the midpoint? 1. (2, 3) 2. (4,3) 3. (4, -2) 4. (2, -1)
Answers
(Image)---------- (in link)
Answers
Answer:
You could solve this by taking the y value and adding it to the multiplied rate.
For example: For Jill's 6 year mark, the equation would be 11(6) + 15.
Hope this makes sense, don't hesitate to ask for clarification on a certain part of the answer.
Is the line passing through the points (−4,5)
and (1,10)
parallel to the line passing through the points (−18,−6)
and (−8,4)
?
A
No, because the slopes of the lines are the same, but the y-intercepts are different.
B
No, because the slopes of the lines are different.
C
Yes, because the slopes of the lines are the same, but the y-intercepts are different.
D
Yes, because the slopes of the lines are different.
Answers
explanation and working too please :))
Answers
Answer:
Each side is 4 cm.
Step-by-step explanation:
We need to try to express the perimeter of the figure in terms of "square sides". Basically, we're going to count how many square sides the perimeter is.
Starting from the top, the very top is 1 side.
Moving down to the right, we have another side.
Then half a side as we go to the right edge.
The right edge is 1 full side.
Another half side, going left.
Going down, we have 1 full side.
The other side is mirrored, meaning we just have to double this to get the full figure's perimiter.
Counting up our sides (we'll call one side [tex]s[/tex] ), we have:
1s + 1s + 0.5s + 1s + 0.5s + 1s = 4s + 0.5s + 0.5s = 5s
Doubling it:
5s * 2 = 10s
The whole perimiter is 8 square sides. Since we know the perimeter is 40 cm, we can find the length of one side by solving this equation:
10s = 40
Dividing both sides by 10:
s = 40/10 = 4
Answer: Each side is 4 cm.
Find the value of x and then find the length of RT
RT =
X=
Answers
Answer:
x = 5, RT = 18
Step-by-step explanation:
[tex]\triangle MNL \sim \triangle SRT... (given) \\
\therefore \frac{MN}{SR} = \frac{NL}{RT}.. (c.s.s.t)\\ \\
\therefore \frac{84}{24} = \frac{63}{3x+3}\\ \\
\therefore \frac{7}{2} = \frac{63}{3x+3}\\ \\
\therefore 3x+3 = \frac{63\times 2}{7}\\ \\
\therefore 3x + 3 = 9\times 2\\
\therefore 3x + 3 = 18\\
\therefore 3x = 18 - 3\\
\therefore 3x=15\\
\therefore x = \frac{15}{3}\\
\huge \red {\boxed {\therefore x = 5}} \\ \\
\because RT = 3x + 3\\
\therefore RT = 3\times 5+ 3\\
\therefore RT = 15+ 3\\
\huge \orange {\boxed {\therefore RT = 18}} [/tex]
let's see who gets this:) so far no one has got it
my bad it's science work
Answers
-Oxygenated blood is pumped to the rest of the body via the aorta.
-Deoxygenated blood (blood that needs oxygen) coming from the body.
-Then is pumped to the right ventricle.
-Then is pumped to the lunges to get oxygen via the pulmonary artery,
-Oxygenated blood from the lunges flows into the left atrium via the pulmonary vein.
-Flows into the right atrium.
-Then is pumped into the left ventricle.
I'm very confident in this answer, but if it happens to be wrong, I'm sorry.
I hope this helps, good luck!
Given the following expressions:
A.5.5
B В
c. () (1)
D
Part I Use operations of exponents to simplity each expression (A-D). Include your work in your final answer
Part 2: For each simplified expression (AD) tell whether or not the expression has a value between 0 and 1
