Answer:
∠ B = 15°
Step-by-step explanation:
Complementary angles sum to 90° , that is
∠ A + ∠ B = 90 , substitute values
8x + 27 + 6x - 21 = 90
14x + 6 = 90 ( subtract 6 from both sides )
14x = 84 ( divide both sides by 14 )
x = 6
Thus
∠ B = 6x - 21 = 6(6) - 21 = 36 - 21 = 15°
Answer:
16
Step-by-step explanation:
(3x+9)+(6x+27)=
(3x+9)+(6x+27)=
\,\,180
180
supplementary angles add up to 180
3x+9+6x+27=
3x+9+6x+27=
\,\,180
180
Drop parentheses
9x+36=
9x+36=
\,\,180
180
Combine like terms
-36\phantom{=}
−36=
\,\,-36
−36
9x=
9x=
\,\,144
144
\frac{9x}{9}=
9
9x
=
\,\,\frac{144}{9}
9
144
Divide both sides by 9
x=
x=
\,\,\color{green}{16}
16
\text{Find the measure of }\angle A:
Find the measure of ∠A:
\text{m}\angle A=
m∠A=
\,\,3x+9
3x+9
Given
\text{m}\angle A=
m∠A=
\,\,3(\color{green}{16})+9
3(16)+9
Plug in x
\text{m}\angle A=
m∠A=
\,\,48+9
48+9
Multiply
\text{m}\angle A=
m∠A=
\,\,57
57
Combine
the curved surface of a cylindrical surface is 704 cm square calculate the height when the radius is 8cm
Answer:
CSA of cylinder = 704cm²
We know that
CSA of cylinder = 2πrh
or 2πrh = 704
or, 2*22/7 *8 *h = 704 ( since r=8cm)
or, 352h = 704*7
or, h = 4928/352 = 14cm
36. MAKING AN ARGUMENT Your friend claims that a rectangle with the same perimeter as QRS will have the same area as the triangle. Is your friend correct? Explain your reasoning.
Answer: no; A 1 X 5 rectangle has a perimeter of 12 units and does not have an area of 6 units, so a counterexample shows that your friends statement is not correct
Which fraction is equivalent to 3/-5
Thomas buys 5 sandwiches and 2 drinks at the deli. He knows he
spent $4.50 on the drinks and the total was $35.75. Write and solve an
equation to determine the price of each sandwich.
35.75-4.50=31.25
31.25÷5=6.25
the price of each sandwich is $6.25
Which of these values for the number of yards in a mile is most accurate,
when compared to the exact value?
A. 1,700
B. 2,000
C. 1,755
D. 1,800
Answer:
1755
Step-by-step explanation:
there are 5280 feet in a mile, and there are 3 feet in a yard. if you divide 5280÷3 that will show you how many yards are in a mile. That will give 1760. Then you choose the number that is closest to that.
If an angle is an acute angle, then it measures to 87° write this in a converse sentence
Answer
87 measures an acute angle
Step-by-step explanation:
Which number goes in the box to make the equation true?
+ 145 + 318 = 624
161
217
231
171
The missing number for the given expression is 161. The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is ?+ 145 + 318 = 624. The missing number will be calculated as,
X + 145 + 318 = 624
X = 624 - 145 - 318
X = 161
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
Maria works at a kennel and uses 30-pound bags of dog food to feed the
dogs. If each dog gets 2/5 pound of food, how many dogs can she feed
with one bag?
Answer:
75
Step-by-step explanation:
30÷2/5= 30/1 • 5/2 = 75
simplify by combining like terms:
2(6x - 1)+5
Answer:
The equation you get out of that by combining like terms is (12x+3)
Step-by-step explanation:
It’s identifying and writing expressions
Please help.!
Answer:
1 --> E
2 --> C
3 --> B
4 --> A
5 --> D
Hope this helps
Step-by-step explanation:
The function h(t) = -4.9t2 + h0 gives the height (h), in meters, of an object t seconds after it falls from an initial height (h0). The table shows data for a pebble that fell from a cliff. TIME HEIGHT 1 55.1 2 40.4 3 15.9 choose the quadratic equation that models the situation h(t)=-4.9t^2+50.2 h(t)=-4.9^2+55.1 h(t)=-4.9^2+60 h(t)=-4.9^2+66
Answer:
Step-by-step explanation:
-4.9t^2 + 60
Answer:
h(t) = -4.9t² + 60
3.5 s
Step-by-step explanation:
Got it right on edge.
Question 3. The smallest digit by
which *' should be replaced in
710*95, so that the number formed is
divisible by 3 is:
Answer:
2
Step-by-step explanation:
Given:
710*95
Find the smallest digit by
which * should be replaced, so that the number formed is
divisible by 3
The first step is to add the numbers
7 + 1 + 0 + * + 9 + 5 = 22 + *
Next step is to find the multiples of 3
3 = 6, 9, 12, 15, 18, 21, 24, 27, 30
Step 3:
Since the addition of the digits = 22 + *
Then find a number to add to 22 which gives the next multiples of 3 after 22(that is 24)
24 = 22 + *
* = 24 - 22
= 2
* = 2
Substituting * = 2 into 710*95
We have,
710295
Therefore, the smallest digit by
which * should be replaced, so that the number formed is
divisible by 3 is 2
Check:
710,295 / 3
= 236,765
Which statements describe the solutions to the inequality x less-than negative 20? Check all that apply. There are infinite solutions. Each solution is negative. Each solution is positive. The solutions are both positive and negative. The solutions contain only integer values. The solutions contain rational number values.
Answer:
The first two options (There are infinite solutions, each solution is negative)
Step-by-step explanation:
They can't be positive and no range is specified
Answer:
a and b
Step-by-step explanation:
trust me its right
what is 2(95x-24)+8(67x-10)=7x-28+30
Answer:
multiply 15*13*28*35=9
Step-by-step explanation:
15 13 28 35 9.
If l||m and the measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is:
Answer:
The answer is 120
Answer:
120
Step-by-step explanation:
What is the value of y?
Answer:
10
Step-by-step explanation:
y+40=5y
40=5y-y
40=4y
y=10
Write the expression (-7) · (–7)5. 5. 5. 5 using exponents.
please help!!
Answer:
you just count how many numbers there are like -7 there is 2 so it would be -7^2 there is 4 5s so it would be 5^4
Step-by-step explanation:
Answer:
[tex]-7^2 + 5^4[/tex]
Step-by-step explanation:
Essentially, you are seeing how much of each of the same term there is. Add the amount together, and it will be the exponent.
[tex](-7) * (-7) = -7^(1 + 1) = -7^2\\5 * 5 * 5 * 5 = 5^(1 + 1 + 1 + 1) = 5^4[/tex]
Combine the two terms together into an expression. Note that you cannot combine them.
[tex]-7^2 + 5^4[/tex] is your answer.
~
The scale factor of a doll house from the actual house is 35:1. If one of the windows of the doll house has a width of inch, what is the measure of the width of the window on the actual house?
a.
14 in.
b.
9 in.
c.
8 in.
d.
12 in.
Why does the solution for an absolute value equation or inequality typically result in a pair of equations or inequalities?
Why the solution for an absolute value equation or inequality typically result in a pair of equations or inequalities?
Because the absolute value equations behave differently in the different ranges.
For a given absolute value equation (or inequality)
| x - a| = b
We get two equations or inequalities:
x - a = b
x - a = - b
And this is why the solution leads to two equations, this originates in the fact that the parent absolute value function:
f(x) = |x|
Behaves differently if x is positive or negative.
f(x) = x if x > 0f(x) = -x if x < 0If you want to learn more, you can read:
https://brainly.com/question/17654897
Function h is a transformation of the parent exponential function, f(x) =2^x
h(x) = -3•2^x
which statement is true?
A. function h is a reflection and a translation of function f
B. function h is a horizontal translation of function f
C. function h is a reflection and a dilation of function f
D. function h is a vertical translation of function f
Answer:
C. function h is a reflection and a dilation of functionStep-by-step explanation:
Parent function:
f(x) =2^xTransformed function:
h(x) = -3•2^xTransformation applied:
f(x) → -f(x) = reflection over x-axis = vertical reflectionf(x) → 3f(x) = dilation or vertical stretchCorrect answer choice is:
C. function h is a reflection and a dilation of function fAnswer:
c
Step-by-step explanation:
13. Write 1.48 as a mixed number.
What is - root 3 x root 3
Answer:
-3
Step-by-step explanation:
- square root 3 × square root 3 = -3
Jack's dad invested some money
and for
every
$12 he invested he got
a total of $15 back. IfJack’s dad
Invested $300 , how much in total did he
get back?
Answer:
12:15*300
Step-by-step explanation:
calculate how much he get per dollar
12:15
now * 300
Two less than one-fourth a number is the same as 3
What is 20 10 times as much as?
answer
the answer is 200
Answer:200
Step-by-step explanation:
How to convert 60% to a decimal
Step-by-step explanation:
[tex]60\% = \frac{60}{100} = \frac{3}{5} [/tex]
and 3/5 is 0,6
Hope I helped :)
Answer:
0.6
Step-by-step explanation:
all you have to do is divide 60 by 100, so 60÷100=0.6
you can do this with any percentage
-3(-5x+2)+x-3=39 solve for x
Answer:
the value of x = 3
Step-by-step explanation:
-3 (-5x+2)+x-3=39
open the bracket by multiply each by -3
15x-6+x-3=39
collect the like terms
16x-9=39
16x=39+9
16x=48
divide both sides by 16
x=3
mark me as brainliest pllyyyyzzz
Using the slope formula, find the slope of the line through the given points. (4.4) and (5.2) What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A The slope of the line is Type an integer or a simplified fraction.) OB. The slope of the line is undefined
Answer:
A.
m = -1
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in your 2 coordinates into the formula to find slope m:
m = (6 - 4)/(2 - 4)
m = 2/-2
m = -1
Solve lxl = 11
A. {11}
B.{-11,11}
C.{-11}
Answer:
The answer would be B :)
What is the effect of adding 3 to the left side of the equation y = 2 x + b ?
There is a vertical change of 3 units down.
There is a vertical change of 3 units up.
There is a horizontal change of 3 units left.
There is no change.
Answer:
There is a vertical change of 3 units down.
