Answers
Answer:
13
Step-by-step explanation:
we know both triangles are congruent, so we can make an equation
3x+7=10x-7
take 3x from both sides
7=7x-7
14=7x
x=2
20-7=CAD
m<CAD is 13
The value of the angle CAD in the figure given is 13°.
So, the correct option is 1.
Given is a figure, we need to find the measure of the angle CAD,
To find the required measurement we will show the triangles ABD and ACD are congruent,
So, considering the Δ ABD and Δ ACD,
BD ≅ DC [marked in the figure]
∠B ≅ ∠C [all the right angles are ≅]
DA = DA [common in the both Δs]
Hence, Δ ABD ≅ Δ ACD by SSA rule.
We get, ∠CAD ≅ BAD by CPCTC.
Therefore,
3x + 7 = 10x - 7
Combining the like terms,
10x - 3x = 7 + 7
7x = 14
x = 2
Put x = 2 in ∠CAD = 3x + 7,
∠CAD = 3(2) + 7
∠CAD = 6 + 7
∠CAD = 13°
Hence, ∠CAD = 13°.
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Related Questions
On a trip to Mexico, Sheika bought a piece of jewelry that cost 43.65. She paid for it with her credit card, which charges a foreign transaction fee of 3%. How much was the foreign transaction fee? Round to the nearest hundredth
44.96
1
1.31
13.10
Answers
Answer:
The extra fee was 1.31
It brought her total up to 44.96
Hi there!
fee:1.31
1.Multiply percent term by 0.01:
[tex]3[/tex]·[tex]0.01=0.03[/tex]
2.Multiply cost by 0.03:
[tex]43.65[/tex]·[tex]0.03= 1.3095[/tex]
3.Round into nearest hundred:
[tex]1.3095=1.31[/tex]
Therefore, the cost of the fee would be 1.31$.
Three-fourths of the students at Washington Junior High play sports. There are 510 students who play sports.
Which equation would you use to find the TOTAL number of students, s, at the school?
Answers
Answer:
510 divided by 3= 170 170x4= number of students
During the Renaissance, education began to emphasize the study of __________ over more traditional studies.
A.
agriculture
B.
humanism
C.
medicine
D.
trading
Answers
Answer:
humanism
Step-by-step explanation:
read about it thats how you'll know
Answer:
B. humanism
Step-by-step explanation:
Cultural Geography of Europe Quiz on edge.
Brendon, asha and julie share some money in the ratios 3:2:6 the total amount of money that asha and julie recieve is £36 work out the amount of money that brendon receives
Answers
Answer:
£13.5.
Step-by-step explanation:
Let the share of Brendon, Asha and Julie is 3x, 2x and 6x respectively.
The total amount of money that Asha and Julie recieve is £36
i.e.
2x+6x = 36
8x = 36
x = (36/8)
Amount recieved by Brendon,
[tex]B=3\times \dfrac{36}{8}\\\\=\$13.5[/tex]
So, the amount of money that brendon receives is £13.5.
please help i dont get it and its for a grade! :(
Answers
Answer:
y=-4x+5
Step-by-step explanation:
What is the following product?
Answers
Answer:
First option: 6y^2sqrt(10) + 12sqrt(5y)
Step-by-step explanation:
3sqrt(10) * (2y^2 + 2sqrt(2y)
= 6y^2sqrt(10) + 6sqrt(20y)
= 6y^2sqrt(10) + 12sqrt(5y)
Does anyone know how to do this?
Answers
Fred was purchasing rice for his restaurant for the week. He usually makes 150 dishes a week with rice and each portion is 5 ounces. How many pounds of rice should Fred purchase for the week?
Answers
Answer: He bought 46.875 pounds of rice for the week.
Step-by-step explanation:
Total rice he bought = (Number of dishes made in a week) x (portion of rice in each dish)
GIven: Each portion has 5 ounces of rice.
i.e. each portion has [tex]\dfrac{5}{16}[/tex] pounds of rice. [ 1 pound = 16 ounces]
Total rice he bought ( in pounds)=[tex]150\times\dfrac{5}{16}[/tex]
[tex]=46.875\text{ pounds}[/tex]
Hence, he bought 46.875 pounds of rice for the week.
Please help ASAP!
thx :)
Answers
a) Simplify e® * e^
b) Simplify (4ab)
c) Simplify
36n'p
9np
Answers
Answer:
a)e^9
b)64a^3b^6
c)4n^3p^4
I hope It helps you have a good day.
HELP ME
Mena is going to toss 3 pennies. What are the
total outcomes of his experiment?
Answers
Answer:
she will toss pennies
Step-by-step explanation:
please mark as brainliest
The inequality below shows the relationship between Mario’s biking goal in miles and how many miles he
rides in an hour. Let t represent the amount of time in hours.
8 ≥ 20
Answers
Answer:
4
Step-by-step explanation:
You and your family had dinner at Outback, the bill was 65$. You leave a 15% tip for the waitress.
-What is the tip amount?
-What is the total bill amount, including the tip?
Answers
Answer:
Tip amount - 2.40
Total Bill amount including the tip - 67.04
Step-by-step explanation:
8i +6 – 3i +8 simplify each expression
Answers
Answer:
5i + 14
Step-by-step explanation:
combine like terms
8i - 3i = 5i
6 + 8 = 14
rewrite expression
5i + 14
Hope This Helps!!
:)
Can someone pls help me with this?
Answers
Answer:
c
Step-by-step explanation:
the graph shows that becky started at ten dollars and everyday it goes down by 3 so c is the correct answer
Pls help Using the figure below, identify the interior and exterior angles.
Answers
Answer:
interior angle=5&3 and4&6
exterior angle=5&2,6&1,3&8,4&7
Mr. Kelly wants to hang “icicle” Christmas lights and wants them to cover exactly from his roof to the top of his window. He really doesn’t want to get up on a ladder to measure so he decides to use some trigonometry. He walks 25 feet away from his house and measures the angle to the top of the window to be 59°. He then measures the angle to the roof to be 66°. How far will the “icicles” be?
Answers
Answer:
≈ 31.657 ft
Step-by-step explanation:
I'm not sure if I interpreted this problem correctly, but:
We are given an AAS triangle, so we should use the Law of Cosines:
[tex]\frac{cos(x)}{x}=\frac{cos(y)}{y}[/tex]
Looking at the problem, I believe that it should be set up like this:
[tex]\frac{cos(66)}{25}=\frac{cos(59)}{y}[/tex]
Which we can solve for y:
[tex]y=\frac{25cos(59)}{cos(66)}=31.657 ft[/tex]
Look at the factors of 24 and 32.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32: 1, 2, 4, 8, 16, 32
The GCF of 24 and 32 is
.
Answers
25 divided by 100 using long divison
Answers
Answer:
4 have a great day (ik it's long but still helps)
Step-by-step explanation:
Here we will show you step-by-step with a detailed explanation of how to calculate 100 divided by 25 using long division.
Before you continue, note that in the problem 100 divided by 25, the numbers are defined as follows:
100 = dividend
25 = divisor
Step 1:
Start by setting it up with the divisor 25 on the left side and the dividend 100 on the right side like this:
2 5 ⟌ 1 0 0
Step 2:
The divisor (25) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
2 5 ⟌ 1 0 0
Step 3:
Multiply the divisor by the result in the previous step (25 x 0 = 0) and write that answer below the dividend.
0
2 5 ⟌ 1 0 0
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
2 5 ⟌ 1 0 0
- 0
1
Step 5:
Move down the 2nd digit of the dividend (0) like this:
0
2 5 ⟌ 1 0 0
- 0
1 0
Step 6:
The divisor (25) goes into the bottom number (10), 0 time(s). Therefore, put 0 on top:
0 0
2 5 ⟌ 1 0 0
- 0
1 0
Step 7:
Multiply the divisor by the result in the previous step (25 x 0 = 0) and write that answer at the bottom:
0 0
2 5 ⟌ 1 0 0
- 0
1 0
0
Step 8:
Subtract the result in the previous step from the number written above it. (10 - 0 = 10) and write the answer at the bottom.
0 0
2 5 ⟌ 1 0 0
- 0
1 0
- 0
1 0
Step 9:
Move down the last digit of the dividend (0) like this:
0 0
2 5 ⟌ 1 0 0
- 0
1 0
- 0
1 0 0
Step 10:
The divisor (25) goes into the bottom number (100), 4 time(s). Therefore put 4 on top:
0 0 4
2 5 ⟌ 1 0 0
- 0
1 0
- 0
1 0 0
Step 11:
Multiply the divisor by the result in the previous step (25 x 4 = 100) and write the answer at the bottom:
0 0 4
2 5 ⟌ 1 0 0
- 0
1 0
- 0
1 0 0
1 0 0
Step 12:
Subtract the result in the previous step from the number written above it. (100 - 100 = 0) and write the answer at the bottom.
0 0 4
2 5 ⟌ 1 0 0
- 0
1 0
- 0
1 0 0
- 1 0 0
0
You are done because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 100 divided by 25 calculated using Long Division is:
4
0 Remainder
Anna’s class has already collected 74 cans for the annual canned food drive. Her class must collect more than 200 cans to reach their goal. The class plans to collect 15 cans each day. Which inequality shows the number of additional days, d, Anna’s class needs to reach their goal?
Answers
We can write the inequality that shows the number of additional days {d}, Anna’s class needs to reach their goal is : 74 + 15x > 200.
What is inequality?An inequality is used to make unequal comparisons between two numbers or expressions.
f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.Given is that Anna’s class has already collected 74 cans for the annual canned food drive. Her class must collect more than 200 cans to reach their goal. The class plans to collect 15 cans each day.
The inequality that shows the number of additional days {d}, Anna’s class needs to reach their goal is -
74 + 15x > 200
Therefore, we can write the inequality that shows the number of
additional days {d}, Anna’s class needs to reach their goal is -
74 + 15x > 200.
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Help this girl outttttt
Answers
Answer: 72 degrees each angle
Step-by-step explanation:
A pentagon has 5 sides and all interior angles = 360 degrees
360 degrees divide by 5 = 72 degrees
a) 360 degrees
b) 1 interior angle = 72 degrees
7/8 and 42/48 are they porpotional?
Answers
Answer:
Yes
Step-by-step explanation:
42/48
42/6 = 7 and 48/6 = 8
Simplifies to 7/8, therefore they are equal
Amal's picture is 60 millimeters long. How many
centimeters long is his picture? 10 millimeters = 1
centimeter
Answers
because if one centimeter equals 10 millimeters you just divide 60 by 10 and you get 6
Answer:
6 centimeters
Step-by-step explanation:
60 millimeters
10 millimeters = 1 centimeter
How long is the picture in centimeters
______________________________
We know the scale of millimeters to centimeter which is when there are 10 millimeters, 1 centimeter is made. Now we're looking for 60 millimeters, let's see how many times it takes 10 to get to 60.
10 * 6 = 60
So you have to multiply by 6 to find you answer :
1 centimeter * 6
6 centimeters
Gabriella was offered a job after college earning a salary of $50,000. She will get a
raise of $4,000 after each year working for the company. Answer the questions below
regarding the relationship between salary and the number of years working at the
company.
Answers
Answer:
y=4,000x+50,000
Step-by-step explanation:
Where y = total salary
x = number of years worked
The relationship between salary and the number of years working at the company is 50000 + 4000x
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Gabriella was offered a job after college earning a salary of $50,000.
She will get a raise of $4,000 after each year working for the company.
let the number of years worked be x.
Then, relationship between salary and the number of years working at the company is 50000 + 4000x
Learn more about algebra here:
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Which expression is equal to 75√?
75√25
75√5
355√
4935√
Answers
Answer:
B
Step-by-step explanation:
Help pls!! Which of the following most specifically describes quadrilateral QUAD?
Answers
Answer:
I mean I think they are all quadrilateral, but the one that is congruent and perpendicular on both sides is a square.
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
180-101= 79
9x=81
x=9
Which is greater -6/24 or -2/8
Answers
Answer:
They are equal...
Step-by-step explanation:
-2/8 is simplified from -6/24 as the 6 and the 24 can be simplified. 6 goes into 24 three times.
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Answers
Take the 10 and divide by 2
Then that 5 is now 5a at the beginning of the problem then rewrite it and then take a4,b6,a7,b-3 and add them together which gives you and answer of
5a11b3
Answer:
(5b^9)/a^3
Step-by-step explanation:
are In a bag of marbles, 1/2 red, 1/4 blue, 1/6 green, and 1/12 are yellow. You pick a marble without looking. The marble is most likely to be:
a red
b blue
c green
d yellow
im giving lots of points
Answers
Step-by-step explanation:
hold up let me work it out and i will answer with full explanation