Answers
Answer:
if m∠1 = 30° then m∠3 = 30° as they are parallel to each other and that is why they will have same angles.
therefore m∠3 = 30°
extra's:
→ m∠2 = m∠4 =
→ (360-30*20)/2
→ 150°
...............................
See here
m<1 and m<3 are opposite angles to eachother.
And we know that opposite angles are equal
so
m<1=m<3 m<3=30°Related Questions
Bob is throwing a party. He had 22 pints of soda. At the end of the party, there are 8 pints of soda. How many cups of soda were drank during the party?
Answers
Answer:
14 pints were drank
Step-by-step explanation:
22 pints - 8 pints =
Answer:
14 pints
Step-by-step explanation:
22 - 8 is 14 pints, now just convert the pints to cups, that would be 28 cups since 1 pint is 2 cups so 14 x 2 is 28, hope this helps
On a boat tour, there are half as many children as there are adults. How many children are there? There are 30 people on the tour.
Answers
Answer:
15 children
Step-by-step explanation:
30÷2
=15
therefore there is 15 adults and 15 children
Given sin 0=7/4and angle 0 is in quadrant 1 what is the exact value of cos 0 in simplest form? Simplify all radics if needed
Answers
Answer:
Answer: ¾
Step-by-step explanation:
» From the trigonometric identities:
[tex]{ \tt{ \sin {}^{2} \theta + \cos {}^{2} \theta = 1 }}[/tex]
» Substitute to the formular:
[tex]{ \tt {( \frac{ \sqrt{7} }{4} )}^{2} + { \cos }^{2} \theta = 1 } \\ \\ { \tt{ \frac{7}{16} + { \cos}^{2} \theta = 1 }} \\ \\ { \tt{ \cos {}^{2} \theta = 1 - \frac{7}{16} }} \\ \\ { \tt{( \cos\theta) {}^{2} = \frac{9}{16} }} \\ \\ { \tt{ \sqrt{ {( \cos \theta}^{2}) } = \sqrt{( \frac{9}{16}) } }} \\ \\ { \tt{ \cos \theta = \frac{ \sqrt{9} }{ \sqrt{16} } }} \\ \\ { \boxed{ \tt{ \cos \theta = \frac{3}{4} }}}[/tex]
What is the quotient of 36,772 and 58?
Answers
Answer:
634.Step-by-step explanation:
Quotient meaning:
To divide 2 numbers.Equation:
36,772 ÷ 58Solve:
36,772 ÷ 58= 367 - 348 = 19= 197 - 174 = 23= 232 - 232= 0Multiples:
6, 3, and 4.Answer:
634.Answer:
634
Step-by-step explanation:
PLEASE PLEASE HELP!!!!
Find the value of x.
6x°
60°
A. 20
B. 10
C. 15
D. 5
Answers
Answer:D
Step-by-step explanation:
D
Answer:
I think the answer is letter C.15
Correct me if im wrong
#Thank you
(Please Help!) (Giving Good Points!)
Aviva deposited some amount of money at a 4% annual interest rate into her bank account. The money was left in the account for 18 months, and she did not make any more deposits.
If Aviva's money earned $240 interest after 18 months, how much money did she deposit into the account?
Answers
Answer:
Aviva deposited $4,000
Step-by-step explanation:
Given:
$240 is the 6% interest rate annually (1.5 years)The money was left in the account for 18 monthsSolving:
We'll create an equation to find the amount of money Aviva deposited.
D = 240(50/3)
D = the amount of money she has deposited.
50/3 represents 94% of D.
Since 240 is 6% of the deposit Aviva has deposited, multiplying 50/3 by 240 will equal 100% of D.
Solve:
4,000 = 240(50/3)
The amount of money Aviva deposited is $4,000.
*This is one method to solve.
I NEED HELP ASAP I NEED THIS IN 3 MINUTES I GIVE BRAINLEST
Answers
Answer:
-4
Step-by-step explanation:
(-12) - (-5) = -7
-7 + 3 = -4
Answer:
-4
Step-by-step explanation:
HOPE IT HELPED U
Type the correct answer in the box. The solubility of calcium carbonate is 14. This rate means that 14 milligrams of calcium carbonate can dissolve in 1 liter of water. How much water would be required to fully dissolve 11 grams of calcium carbonate? Express your answer to the correct number of significant figures. One milligram is equal to 0. 001 grams. It would take liters of water to fully dissolve 11 grams of calcium carbonate.
Answers
Ratio compares two quantities. The amount of water that will be needed to dissolve 14 grams of calcium carbonate is 1000 liters.
Given to us
The solubility of calcium carbonate is 14.
We know that to dissolve 14 milligrams of calcium carbonate we will need 1 liter of water. therefore, the ratio of water and calcium carbonate can be written as,
[tex]\rm \dfrac{calcium\ carbonate}{water} = \dfrac{14\ milligram}{1\ liter}[/tex]
We need to find the amount of water needed to dissolve 14 grams of water, therefore, we will convert grams to milligrams,
1 gram = 1000 milligram
14 gram = 14,000 milligram
Using the same ratio,
[tex]\rm \dfrac{14,000\ milligram}{water} = \dfrac{14\ milligram}{1\ liter}[/tex]
[tex]\rm {water} = \dfrac{14000\ milligram \times 1\ liter}{14\ milligram}[/tex]
water = 1000 liters
Hence, the amount of water that will be needed to dissolve 14 grams of calcium carbonate is 1000 liters.
Learn more about Ratio:
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Pls help asap I will give brainliest
Answers
Answer:
the zeroes are -2 and 8
Step-by-step explanation:
[tex]-x^2 +6x+16\\\implies -(x^2-6x-16)\\\implies -(x+2)(x-8)[/tex]
Therefore, the zeroes are -2 and 8
[tex] \frac{2}{3} + \frac{1}{6} [/tex]
please can you do it for me
Answers
Explanation: First, find a common denominator of 6. Multiple 2 and 3 times 2 to get 4/6. Then you just add the numerator. This gives you 5/6.
[tex] \frac{5}{6} [/tex]
HELP ILL MARK BRANLIEST
Rectangle CDEF is rotated 45° in a clockwise direction. To which angle of the image does angle D correspond?
angle C prime
angle D prime
angle C
angle D
Answers
Answer:
Angle C prime
Step-by-step explanation:
First design and sketch it:
Make a rectangle with corners C D E and F. 90 degrees each. Now rotate it 45 degrees to the left. Angle D is diagonally from Angle C.
I hope this helps! :)
two numbers are chosen at random from 1, 2 and 3. What is the probability that their sum is an odd number without repitition
Answers
Answer:
2/3
Step-by-step explanation:
1 + 2 = 3
1+ 3 = 4
2+ 3 = 5
there are only two ways of getting an odd number
C. Multiple Choice. Read each Item Carefully. Choose the letter of the correct answer then write it on the
space provided for. (Use figures 1, 2 and 3 for item #s 11-15.)
figure 1 figure 2 figure 3
___________11. What is the side corresponding to PO in ΔPOG ≅ ΔSOR (figure 1)?
A. OS B. RD C. RS D. SO
____________12. Name the congruent triangle illustrated in figure 1
A. ΔFOG ≅ ΔSOR B. ΔPOG ≅ ΔROS C. ΔROS ≅ GOS D. ΔPOR ≅ ΔGOS
____________13. What is the triangle congruence postulate used in figure 2 based on its marking.
A. SSS postulate B. ASA Postulate C. SAS Postulate D. AAA postulate
____________14. Based on the given marking in figure 3, what is the triangle congruence postulate is used in
describing triangle.
A. SSS postulate B. ASA Postulate C. SAS Postulate D. AAA postulate
___________15. In figure 3, If triangle ΔABC ≅ ΔXYZ. What is the congruent angle of ∠A?
A. ∠B B. ∠X C. ∠Z D. ∠B
Answers
Congruent triangles have congruent corresponding sides and angles, while similar triangles may or may not be congruent
Corresponding side of POThe congruence statement is given as:
ΔPOG ≅ ΔSOR
The above means that:
Points P, O and G correspond to the points S, O and R
Hence, the corresponding side of PO in ΔPOG ≅ ΔSOR is SO
The congruent trianglesThe congruence statement is given as:
ΔPOG ≅ ΔSOR
Hence, the congruent triangles are ΔPOG ≅ ΔROS
The congruent postulateIn figure 2, we have:
2 congruent sides, and 1 congruent angle between the congruent sides
Hence, the congruence postulate is SAS
Congruent anglesThe congruence statement is given as:
ΔABC ≅ ΔXYZ
The above means that:
Point A corresponds to the point X
Hence, the congruent angle of <A is <X
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOO SCAMS PLEASE. Find the area of the figure
_____m squared
Answers
Answer:
11700 m²
Step-by-step explanation:
Split the shape in two. One rectangle 150x30 and one triangle 180x80.
Find the areas of both and add them:
A = bh + 1/2bh
A = 150(30) + 1/2(180)(80)
A = 4500 + 7200
A = 11700
please help me with the question
Answers
Answer:
-2.5 m/s^2
Step-by-step explanation:
From 2 seconds to 8 seconds (the last 6 seconds), the speed decreased from 15 m/s to 0. The average acceleration is ...
(-15 m/s)/(6 s) = -2.5 m/s^2
A hand glider dives at 25 mph in a direction 60° below horizontal. What is the component form of the velocity vector?.
Answers
Velocity can be represented in horizontal and vertical components
The horizontal component form of the velocity is 12.5 mph
How to determine the component form of the velocityThe given parameters are:
Velocity = 25 mph
Angle = 60 degrees
The horizontal component form of the velocity is then calculated as:
[tex]v_x = 25 * \cos(60)[/tex]
Evaluate the product
[tex]v_x = 12.5[/tex]
Hence, the horizontal component form of the velocity is 12.5 mph
Read more about velocity at:
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Which set of ordered pairs (x,y) could represent a linear function
Answers
Eight times the sum of a number and 20 is less than 29
Answers
Answer:
8 • 20m - 29
Step-by-step explanation:
this might be right
Triangle ABC is right triangle. The length of one leg is 80 centimeters, and the hypotenuse is 120 centimeters. What is the length, in centimeters, of the other leg?
Answers
The length of the other leg of the right triangle is; 89.44 centimetres
Right triangles and the Pythagoras theoremAccording to the question;
We are required to determine the length, in centimetres of the other leg of the right triangle.By the Pythagoras theorem;
Hyp² = Opp² + Adj²Hence, It follows that;
120² = 80² + X²x² = 14400-6400x² = 80,000Find the square root of both sides of the equation;
x = √80,000x = 89.44 centimeters
Read more on Pythagoras theorem;
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Help please! 50 points.
Answers
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Here's the solution ~As we observe the points, we can conclude that :
Translation along x axis is ~
[tex]\qquad \sf \dashrightarrow \: 1 - ( - 3)[/tex]
[tex]\qquad \sf \dashrightarrow \:1 + 3[/tex]
[tex]\qquad \sf \dashrightarrow \:4 \: \: units \: \: towards \: \: left[/tex]
Translation along y axis ~
[tex]\qquad \sf \dashrightarrow \: - 8 - ( - 13)[/tex]
[tex]\qquad \sf \dashrightarrow \: - 8 + 13[/tex]
[tex]\qquad \sf \dashrightarrow \:5 \: \: units \: \: towards \: \: down[/tex]
So, same goes with translation of (-5 , 9)
[tex]\qquad \sf \dashrightarrow \: x \: \:coordinate = - 5 - 4 = - 9[/tex]
[tex]\qquad \sf \dashrightarrow \: y \: \:coordinate = 9 - 5 = 4[/tex]
So, the required coordinates of the image under same translation is ~
[tex]\qquad \sf \dashrightarrow \:(-9, 4)[/tex]
Answer:
Please help look at the image I need help with number 4. I already did the line plot for number 3 and the data in on the chart. Thank you! :)
what is the answer to 7864 ÷ 51
Answers
2 more than 5 times a number is greater than or equal to 3
Answers
Answer:
x >= 1/5
Step-by-step explanation:
2 + 5x >= 3
5x >= 1
x >= 1/5
Which regions have populations with 9 as the power?
Answers
Answer:
the regions whose populations have 9 as the power include Africa and Asia.
Step-by-step explanation:
Answer:
africa and asia
Step-by-step explanation:
Selena buys several shares of stock at $32 per share and sells them at $28. 32 per share. What is the percent of decrease in the price of the stock? 12. 0% 11. 5% 11. 0% 10. 5%.
Answers
The total percent of decrease in price of the shares of Selena's stock which Selena first buys and then sold is 11.5 percent.
What is percentage decrease?Percentage decrease in a number is the ratio of total decrease in the original value of a number to the decreased value in the percentage form.
Given information-
The total stock buy by the Selena in $32.
The total stock sold by the Selena in $28.32.
As the total stock buy by the Selena in $32, and the total stock sold by the Selena in $28.32. Thus the total decrease in the price of stock is,
[tex]C_s=32-28.32\\C_s=3.68[/tex]
Thus the total decrease in the price of stock is $3.68.
As the cost price of the stock is $32 and the total decrease in the price of stock is $3.68. Thus the total percent of decrease in the price of the stock is,
[tex]\Delta C_s=\dfrac{3.68}{32}\times100\\\Delta C_s=11.5[/tex]
Thus the total percent of decrease in the price of the stock is 11.5 percent.
Learn more about the percentage decrease here;
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Use the following compound interest formula to complete the problem. A = P (1 StartFraction r over n EndFraction) superscript n superscript t Currently you have two credit cards, H and I. Card H has a balance of $1,186. 44 and an interest rate of 14. 74%, compounded annually. Card I has a balance of $1,522. 16 and an interest rate of 12. 05%, compounded monthly. Assuming that you make no purchases and no payments with either card, after three years, which card’s balance will have increased by more, and how much greater will that increase be? a. Card I’s balance increased by $53. 16 more than Card H’s balance. B. Card I’s balance increased by $13. 45 more than Card H’s balance. C. Card H’s balance increased by $35. 61 more than Card I’s balance. D. Card H’s balance increased by $49. 06 more than Card I’s balance. Please select the best answer from the choices provided A B C D.
Answers
Answer:
B. card I'' increased by 1.2986 = 13 more than card H's
Step-by-step explanation:
Which of the following are exterior angles? Check all that apply.
Answers
Answer:
4 and 5
Step-by-step explanation:
i need help with this
Answers
A+N should equal the total amount of cards 80
The national league cards +8 should equal the American League cards so A=2n+8
PLS HELP MARKING BRAINLEIST
Answers
Answer:
[tex]4p^2q-4q+8p[/tex]
Step-by-step explanation:
[tex](12p^2q+p-3pq^2)-(4q-7p+8p^2q-3pq^2)[/tex]
Apply rule [tex]-(-a)=a[/tex] and [tex]-(a)=-a[/tex]:
[tex]\implies 12p^2q+p-3pq^2-4q+7p-8p^2q+3pq^2[/tex]
Collect like terms:
[tex]\implies 12p^2q-8p^2q-3pq^2+3pq^2-4q+7p+p[/tex]
Combine like terms:
[tex]\implies 4p^2q-4q+8p[/tex]
The quotient of a number and -7,
decreased by 2, is 10. Find the
number.
Answers
Answer:
-84
Step-by-step explanation:
Let the number be x. Then we have,
[tex]\frac{x}{-7}[/tex] (the quotient of a number and -7)
[tex]\frac{x}{-7}-2[/tex] (decreased by 2)
[tex]\frac{x}{-7}-2=10[/tex] (is 10)
Now we can solve for x,:
[tex]\frac{x}{-7}-2=10[/tex]
[tex]\frac{x}{-7}=12[/tex]
[tex]x=-84[/tex]
So, the original number is -84
Answer:
-84
Step-by-step explanation:
[tex]\frac{n}{-7}[/tex] -2 = 10
add 2 to each side to get:
[tex]\frac{n}{-7}[/tex] = 12
multiply each side by -7 to get:
n = -84
Convert the following fraction into decimals by changing denominator of 7/5 a multiple of 10
Answers
Answer:
1.4
Step-by-step explanation:
= 7/5 × 2/2
= 14/10
=1.4