Answers
Answer:1.75
Step-by-step explanation:
7x+8=3x+15
4x+8=15
4x=7
x=1.75
Step by step
Angle 1 and angle 3 are vertical angles, they are congruent /the same/ equal.
Angle 1 = 7x + 8
Angle 3 = 3x + 15
So our equation is
7x + 8 = 3x + 15
Solve for x
Subtract 3x from both sides to combine variables
7x - 3x + 8 = 3x - 3x + 15
4x + 8 = 15
Now subtract 8 from both sides to isolate x
4x + 8 - 8 = 15 - 8
4x = 7
Divide both sides by 4 to solve for x
4/4 x = 7/4
x = 1.75
Now to answer the question
What is the value of angle 1?
Angle 1 is 7x + 8
Substitute 1.75 for x in the equation
(7)(1.75) + 8 = angle 1
20.25 = angle 1
Check your work and do the same for Angle 3
3x + 15
Substitute 1.75 for x
(3)(1.75) + 15 = angle 3
20.25 for angle 3
Related Questions
A six-sided dice is rolled twice. The sides are labeled 1-6. What
is the probability of rolling an odd number and then rolling a 2?
(Give your answer as a reduced fraction).
A 3/36
B 1/18
C 1/12
D 1/36
Answers
The probability of rolling an odd number and then rolling a 2 is 1/12.
Option C is true.
What is Probability?
Probability is measure of the likelihood of an event to occur.
Given that;
A six - sided dice is rolled twice.
The sides are labelled 1-6.
Now,
In a dice odd number are 1, 3, 5
Hence, The probability of rolling an odd number = 3/6
And, The probability of rolling a 2 = 1/6
So, The probability of rolling an odd number and then rolling a 2
= 3/6 x 1/6
= 1/12
Hence, The probability of rolling an odd number and then rolling a 2 is 1/12.
Option C is true.
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rounded to the nearest tenth, what is the perimeter of rectangle abcd? a. 10.8 inches b. 13.7 inches c. 15.0 inches d. 18.7 inches
Answers
The perimeter of the rectangle ABCD is 13.7 inches.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
⇒ sin30° = AD/AC
⇒ AD = AC(sin30°) = 5(1/2)
⇒ AD = 2.5 inches
⇒ sin60° = CD/AC
⇒ CD = AC(sin30°) = 5(√3/2)
⇒ CD = 4.33 inches
The perimeter of rectangle ABCD = 2(AD) + 2(CD)
The perimeter of rectangle ABCD = 2(2.5) + 2(4.33) = 5 + 8.66
Rounded to the nearest tenth
The perimeter of rectangle ABCD = 13.66 ≈ 13.7 inches
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The question seems to be incomplete the correct question would be
Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?
rectangle ABCD with diagonal AC, labeled as measuring 5 inches, angle BAC measuring 30 degrees, angle BCA measuring 60 degrees, angle DCA measuring 30 degrees, and angle DAC measuring 60 degrees.
What is a function and how can I identify one ?
Answers
Answer:
a function is a rule or correspondence by which each element x is associated with a unique element y.
hope this was helpful!
Simplify as far as possible.
2√3+3√3
Answers
Answer: 0.51639777..
Step-by-step explanation:
Exercise
Respond to the following based on your reading.
1. Which numbers are to the right of 0 on the number line?
2. Which numbers are to the left of 0 on the number line?
3. Is 0 an integer?
4. Draw a number line with integers from –3 to 6.
5. Solve the problems:
a. −8 + 0 =
b. 1 × (−14) =
c. 19 ÷ 1 =
d. 0 × 104 =
e. −21 − 0 =
Answers
Answer:
please solve this question 4²×3³×(-1)¹²²
17+|-12--5|--16
show how you got the answer
Answers
17+7+16
40
what is 4 squared 5
Answers
Answer: 4^5=1024
Step-by-step explanation:
4x4x4x4x4=1024
Answer:
1024!
Step-by-step explanation:
What is 32 Quartz to 48 Quartz?
Answers
32 Quartz to 48 Quartz is 2/3 Quartz
What is Quart measurement ?The quart is a measurement which is use to find the capacity of liquid. Or we can say Quart is a unit of liquid volume which is measured in gallon. There are different measurements into which we can convert the unit such as ounces and liters. These conversion values are as below :
Mathematically, we can write :
In terms of ounces1 quart = 32 fluid ounces
In terms of liters1 quart = 0.94 US liters = 4 cups (approx.)
According to given question, 32 Quartz to 48 Quartz is the ratio of 32 and 48 Quartz value.
Mathematically, we can write :
[tex]\frac{32 \ Quartz }{48 \ Quartz}\\ \\= \frac{2 \ Quartz}{3 \ Quartz} \\\\or, = \frac{2}{3} Quartz[/tex]
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One freezer costs $623.95 and uses 90 kilowatt hours (kwh) of electricity each month. A second freezer costs $500 and uses 100 kwh of electricity each month. The expected life of each freezer is 12 years. What is the minimum electric rate in cents per kwh for which the 12-year total cost (purchase price + electricity costs) will be less for the first freezer?
Answers
The minimum electric rate in cents per kwh for which the 12-year total cost will be less for the first freezer is 8.61 cents
How to calculate the rate?Let x = minimum electric rate (Cents/kWh)
Total months in 12 years is 12*12 = 144 m
1st freezer
Total cost over 12 years is
623.95 (cost) + (90 kWh/m)*(144 m)(x/100 $/kWh)
= 623.95 + 129.6x
2nd freezer
Total cost over 12 years is
500 + 100*144*(x/100)
= 500 + 144x
For the 1st freezer to cost less over 12 years,
623.95 + 129.6x < 500 + 144x
123.95 < 14.4x
8.61 < x
The minimum rate is 8.61 cents per kWh
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Rachel received a 90$ gift card for a coffee store
Answers
That's great for Rachel! I would love a gift card as well where is this at?
3/v=8/13 using cross prouducts property
Answers
Answer:
v = 4.875
Step-by-step explanation:
Anytime you have a proportion (a fraction = a fraction)
you can cross multiply to change the equation (get rid of the fractions!) and solve.
see image.
3/v = 8/13
8v = 39
v = 4.375
see image.
A rectangle restaurant kitchen has a perimeter of 38 m in an area of 88 m² what are the dimensions of the kitchen
Answers
The dimensions of the kitchen are 11m × 8m.
In geometrical mathematics, a polygon with four sides is referred to as a quadrilateral, while a quadrilateral with two opposed, parallel, and equal sides is referred to as a rectangle.
A rectangle has four equal-sized angles. There are four angles in a rectangle.
A rectangle has 90° angles on all sides.
The rectangle's diagonal is the separation or length of a line segment that connects any two opposed vertices.
Let l and w represent the length and breadth of the rectangular kitchen, respectively.
we know that area of a rectangle = length × width
perimeter of a rectangle = 2(l ₊ b)
Given that the rectangular kitchen has an area of 88 m².
A = 88 m²
l × w = 88 m² ....eq(1)
The perimeter of the rectangle is 38 m.
Perimeter (P) = 38 m
2(l+w) = 38 m
l+w = 19 m
l = 19 - w .....eq(2)
substitute eq(2) in eq(1).
l × w = 88 m²
(19 - w)w = 88
19w - w² = 88
-w²+19w-88 = 0
w²-19w+88 = 0
By factorization method, we get:
w²-11w-8w+88 = 0
w(w-11)-8(w-11) = 0
(w-11)(w-8)
w = 11 or w = 8
If w = 11,
then l = 19-11 = 8m
and If w = 8m
then, l = 19-8 = 11m
so the dimensions are 11m×8m
Hence we get the dimensions of the kitchen are: 11m×8m
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A
C
3.
Find m2LMN if mLME=24°
and mLEMN = 42°
66⁰
18⁰
M
B
D
24⁰
42⁰
Answers
Answer:
this question is impossible!11!1!!!!
Step-by-step explanation:
none
Which expression is equivalent to √125x6^y15^z3^?
Answers
Answer:
[tex]5x^2y^5z[/tex]
Step-by-step explanation:
Hello!
Expand the cube root:
[tex]\sqrt[3]{125x^6y^{15}z^3}[/tex][tex]\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}[/tex]Use exponent rule:
[tex]\sqrt[a]{b^c} = b^{\frac ca}[/tex]Simplify[tex]\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}[/tex][tex]5^{\frac33}*x^{\frac63}*y^{\frac{15}{3}}*z^{\frac33}[/tex][tex]5 * x^2 * y^5 * z[/tex][tex]5x^2y^5z[/tex]The answer is [tex]5x^2y^5z[/tex].
Is 10 squared greater than or less then or equal to 5
Answers
Answer:
10 squared is 100 so 10 squared is greater than 5.
Step-by-step explanation:
Hope its corrects and it helps you!
What is the natural number of the square root of 8
Answers
Square root is 2.828
explaining how to use linear pairs and vertical anglesimagine two lines intersect. how can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? explain.
Answers
PLEASE HELP ME ANSWER 34,36
Answers
find the angle measure then classify the angle (I'm very bad at this one and I need help instantly
Answers
Answer:
30,70,110
Step-by-step explanation:
12. acute
13. acute
14. obtuse
Bacterial Growth Exponential Function
Answers
Bacterial growth is expressed by an exponential function with the formula of [bacteria]=ae^[time]b
Each time John rides the bus to school he pays $3. Write and solve an equation that represents the change in John's money from riding the bus to and from school for 17 days
Answers
Every day that John rides on the bus, he loses $3
if he rides on the bus for 17 days, it can be solved like this
(3 x 2)17 = 102$
The change is John's money is -$102 over a span of 17 days
Hope this helped
need help asap WILL GIVE YOU BRAINLIEST
Thanks!!!
Answers
Answer:
14 is an obtuse angle
Step-by-step explanation:
An obtuse angle is an angle that is bigger than 90° degrees but doesn’t reach a straight line at 180°.
The following table shows the different savings account available at Capital Bank. Use the table to answer questions
Kate is depositing $5,000 into an account for her son’s education. Which account should she choose?
A. Teen Savings, because her son is a teen
B. College Savings, because she meets the minimum deposit and it earns more interest
C. Regular Savings, because it earns compound interest.
D. Platinum Savings, because it has the highest interest rate.
Answers
Based on the accounts and the benefits they offer, Kate should choose B. College Savings, because she meets the minimum deposit and it earns more interest
Which account is best for Kate?Kate should pick the college savings account for two reasons with the first being that the $5,000 she wants to deposit meets the minimum deposit amount of $1,000.
The second reason is that the account earns more interest than other account.
Even though it is simple interest, the 9% is still much higher than the compound interest of 1% that the regular account gives.
Kate should choose college savings.
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Linear distribute properties 6(y+3)=30
Answers
Answer:
y=2
Step-by-step explanation:
6 times y and six times 3
6y+18=30
-18 -18
6y=12
divide both sides by 6 and you will get y=2
I WILL GIVE 35 POINTS TO THOSE WHO ANSWER THIS PROBLEM RIGHT NOOOO SCAMS
Answers
Using translation concepts, we have that:
4. The type is f(x + k), with k = 3, and a horizontal shift.
5. The type is kf(x), with k = 5 and a vertical stretch.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For graph 4, we have function g(x) is a shift left of 3 units of function f(x), hence:
The type is f(x + k), with k = 3, and a horizontal shift.
For graph 5, we have that for each value of x, g(x) = 5f(x), hence:
The type is kf(x), with k = 5 and a vertical stretch.
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For questions 2-4, write two equivalent expressions for each radical expression using the
product law of radicals. One of your expressions should simplify to an integer multiplied
by a radical.
2.
√128 =
3.
√128=
Answers
Step-by-step explanation:
bayot ka dong no plbading bading sya bayot
x² + 4y² + 3x + 2y 56= 0, 5x - 2y + 7 = 0
Answers
Answer:
bat pa kasi pinapangita ang ex
64x+60 simplified expression
Answers
Answer:
4(16x+15)
Step-by-step explanation: They both have the common factor of 4
-2+(-3)+(-4)+(-5)+(-6)+(-7)
Answers
Answer:
-27
here is the answer for you
A polynomial p(x) is given as 2x^2-3kx+5
One of the zeros of p(x) is -1
Find k.
Answers
Answer:
[tex]k = -\frac{7}{3}[/tex]
Step-by-step explanation:
Given :
p(x) = 2x² − 3kx + 5
Since, -1 is a zero for p then :
p(-1) = 0
Solving the equation p(-1) = 0 for k :
p(-1) = 0
⇔ 2(-1)² − 3k(-1) + 5 = 0
⇔ 2 + 3k + 5 = 0
⇔ 3k = -5 - 2
⇔ 3k = -7
⇔ k = -7/3
NOTE :
If -1 is a zero of p
[tex]\Longrightarrow k = -\frac{7}{3}[/tex]
[tex]\Longrightarrow p(x) = 2x^2 - 3(\frac{-7}{3}) x + 5\\\Longrightarrow p(x) = 2x^2+ 7x + 5[/tex]