What is the measure of angle A?
Select the best answer from the choices provided.
A.26°
B.32°
C.64°
D.78°
Answers
Angle B is 90 degrees so angle A and c when added also equal 90:
7x + 8 + 3x + 2 = 90
Simplify:
10x + 10 = 90
Subtract 10 from both sides
10x = 80
Divide both sides by 10
X = 8
Now you have x calculate angle A:
7x + 8 = 7(8) + 8 = 56 + 8 = 64
Answer: C. 64
Answer:
C
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , so
7x + 8 + 3x + 2 + 90 = 180 , that is
10x + 100 = 180 ( subtract 100 from both sides )
10x = 80 ( divide both sides by 10 )
x = 8
Then
∠ A = 7x + 8 = 7(8) + 8 = 56 + 8 = 64° → C
Related Questions
Write the following phrase as a variable expression. Use x to represent "a number" the sum of a number and seventeen
translation is:
Answers
Answer:
[tex]x+17[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] represent "the number".
The sum of a number and seventeen
⇒ [tex]x+17[/tex]
I hope this helps!
On Monday the price of gas is $3.50 on Tuesday the price drop my $.50 and I won’t say the price increase by $.65 or I am Santa edition equation to show final price of gas
Answers
Factor over the Reals
Answers
Answer:
(x - 2y)³(1 - x+ 2y)(1 + x - 2y)
Step-by-step explanation:
Given
(x - 2y)³ - [tex](x-2y)^{5}[/tex] ← factor out (x - 2y)³ from both terms
= (x - 2y)³(1 - (x - 2y)²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b) , then
1 - (x - 2y)²
= 1² - (x - 2y)²
= (1 - (x - 2y) )(1 + (x - 2y) )
= (1 - x + 2y)(1 + x - 2y)
Then
(x - 2y)³ - [tex](x-2y)^{5}[/tex]
= (x - 2y)³(1 - x + 2y)(1 + x - 2y) ← in factored form
Find the solution to the system of equations below
y=-5x+3
2x-3y=8
Answers
Answer: (1, -2)
Concept:
There are three general ways to solve the system of equations:
Elimination SubstitutionGraphingHere, we are going to use the elimination method to solve.
Solve:
Given
[tex]\left \{ {{y=-5x+3} \atop {2x-3y=8}} \right.[/tex]
Convert the first equation's arrangement to correlate with the second equation
[tex]\left \{ {{5x + y=3} \atop {2x-3y=8}} \right.[/tex]
Multiply 3 on both sides in the first equation
[tex]\left \{ {{15x + 3y=9} \atop {2x-3y=8}} \right.[/tex]
Eliminate [y] by adding the two equations
[tex]17x = 17[/tex]
Divide both sides by 17
[tex]17x / 17=17/17[/tex]
[tex]x=1[/tex]
[tex]y=-5x+3=-5(1)+3=-5+3=-2[/tex]
[tex](1, -2)[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Reduce to a simplest form.
1. 6/20
2. 28/16
Answers
Answer:
D
Step-by-step explanation:
2.) 7/4 or 1 3/4 i reduced the fraction by dividing it by 2 then 2 again and for the other one i divided 16 into 28 and made it into a mixed number then reduced
Gabriel's family is investing $5,000 into two different bonds for college. One bond gave
an interest of 5% per year, and the other 3%. If the combined interest for the year was
$220, how much money was invested in each bond?
Answers
The amount invested in the bond that yields 5% is $3500 and the amount invested in the bond that yields 3% is $1500
This question would be solved using simultaneous equation
Two equations can be derived from this question
a + b = 5000 equation 1
0.05a + 0.03b = 220 equation 2
where a = amount invested in the bond that bears 5% per month
b = amount invested in the bond that bears 3% per month
Multiply equation 1 by 0.05
0.05a + 0.05b = 250 equation 3
Subtract equation 2 from 3
0.02b = 30
Divide both sides of the equation by 0.02
b = 1500
Substitute for b in equation 1
a + 1500 = 5000
subtract 1500 from both sides of the equation
a = 5000 - 1500 = 3500
Amount invested in the bond that yields 5% is $3500
Amount invested in the bond that yields 3% is $1500
To learn more about simultaneous equation, please check : https://brainly.com/question/15165519?referrer=searchResults
the product of two numbers is 21. If the first number is negaitve 3, which eaqution represents this situation and what is the second number
Answers
Answer:
-7 is the second number
Step-by-step explanation:
-3 * (-7) = 214) Write the following rational number in Pq form 1.) 2.514
Answers
Answer:
3 or 2.5
both are correct answers
What is the first step to solving the division problem below?
6288 divided by 8
Answers
Answer:
devide it by 2 three times
Step-by-step explanation:
6288/2=3144
3144/2=1572
1572/2=786
i think that's the easiest way to do it
Find the perimeter of a square with sides 2 5/8 .
Answers
Answer:
10.5
Step-by-step explanation:
2⅝×4=10.5
..............
expanded in 5th grade
Answers
Answer:
What expanded?
Step-by-step explanation:
Answer:
What expanded?
Step-by-step explanation:
The length of a rectangle is 2m-1 and the width is m+3. Simplify an expression for the perimeter of the rectangle.
Answers
Answer:
6m+ 4
Step-by-step explanation:
2(2m-1) + 2(m+3)
4m - 2 + 2m + 6
6m + 4
(a) Find the slope of the curve y= x^2 - 2x - 3 at the point P(2, -3) by finding the limit of the secant slopes through point P.
(b) Find an equation of the tangent line to the curve at P(2, -3)
Answers
Answer:
Step-by-step explanation:
P=(2,-3)
Q=(a,a²-2a-3)
[tex]\Delta y=a^2-2a-3-(-3)=a^2-2a\\\Delta x=a-2\\\\\displaystyle \lim_{a \to 2} \dfrac{a^2-2a-3-(-3)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a^2-2a}{a-2} \\\\=\lim_{a \to 2} \dfrac{a(a-2)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a}{1} \\\\=\lim_{a \to 2} a \\\\=2\\[/tex]
Proof:
y'=(x²-2x-3)'=2x-2
y'(2)=2*2-2=2
4.) 5(3y – z) - x =
If y=8, z=6, and x=2
Pls help lol
Answers
Answer:
90
Step by step explanation:
5(3y - z) - x = 0
or, 5(3×8 - 6) = x
or, 5(24 - 6) = x
or, 5×18 = x
or, x = 90
Answer:
88Step-by-step explanation:
Given expression:
5(3y - z) - xEvaluating the value of this expression if y = 8, z = 6, x = 2:
5(3*8 - 6) - 2 = 5(24 - 6) - 2 = 5(18) - 2 = 90 - 2 = 88PLEASE HELP
To find the area of a triangle, use the formula on, where bis the base
and h is the height. What is the area in square inches of a triangle with
a height of 6 inches and base of 8 inches.
Answers
Answer:
A=24
Step-by-step explanation:
Triangle Area formula: h*b
h: 6
b: 8
6*8=24
The distance from Tallahassee, Florida, to London, England, is 4.368 x 103 miles. The distance from
London, England, to Tokyo, Japan, is 6.424 x 103 miles. If you were to fly from Tallahassee to London
and then to Tokyo, how many miles would you have traveled?
A. 2.056 x 103
B. 28.06 x 103
C. 1.0792 x 104
D. 10.792 x 106
Answers
A swimming pool holds liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in minutes, and the second pipe alone can empty it in minutes. When both pipes are draining together, how long does it take them to empty the pool
Answers
Answer:Pipe 1 is emptying the pool at 600,000/200 = 3000 liters per minute.
The second pipe empties the pool at 600,000/120 =5000 litres per minute. With both pipes the pool will be emptied at 8000 litres per minute. It will therefore take 600,000/8000 = 75 minutes to empty the pool of water when both pipes are draining together.
Step-by-step explanation:
What is the midpoint of line segment EF?
O (2,2)
O (-3,-2)
O (-2,1)
• (-4,2)
Answers
You add the X’s and Y’s and diced them by 2
-5+1 3+(-1)
——— , ——- = (-2,1)
2 2
Lynn regularly works a 40-hour week and earns $14 per hour. She receives time-and-a-half pay for each hour of overtime she works. Last week she worked 43 hours.
a) What was her regular pay for the week?
b) | What is her hourly overtime rate?
c) What was her overtime pay for the week?
d) What was her total gross pay for the week?
e) What was her approximate NET pay for the week?
Answers
Answer:560
Step-by-step explanation:
please help asap show work and dont put links
Answers
Answer:
add two tiles per figure until u get to eight.
Step-by-step explanation:
Find the distance between X(-3, 8) and Z(-1,5) *
what is it :’)
Answers
d = √13
Step-by-step explanation:
d = √((x2 - x1)² + (y2 - y1)²)
points: (-3, 8) & (-1, 5)
d = √((-1 - -3)²+(5 - 8)²)
d = √(2)²+(-3)²
d =√(4 + 9)
d = √13
Simplify.
Rewrite the expression in the form 4".
49
45
Answers
Answer:
[tex]4^{9-5}[/tex] = [tex]4^{4}[/tex]
Step-by-step explanation:
A 2-pound bag of potatoes costs $0.96. What is the price per ounce?
Answers
Answer:
.03
Step-by-step explanation:
1 pound = 16 ounces 2 pounds is 32
and 96/32 is 3
Answer:
$.03 per ounce
Step-by-step explanation:
1 pound = 16 ounces
2 pounds = 32 ounces
Take the price and divide by the number of ounces
.96 / 32 ounces
.03 per ounce
One third of a bamboo is buried in mud, one sixth of it is in water and the part above the water is greater than or equal to 3 meters. Find the length of the shortest pole.
Answers
Answer:
6m
Step-by-step explanation:
Buried in mud: 3
In and above the water: 6
Total buried in the mud and in/above the water: 3 + 6 = 3 ÷ 6 = 2m
The length of the shortest pole?
Based to the question,
2m + 3m = ...?
= 2m x 3m
= 6 m
The length of the shortest pole is 6m.
answers in the grid on
Око
28) f(x) = ax? + bx+c is a quadratic function where a, b and c are constant,
the value of x of the point of intersection of this quadratic function and linear
function g(x) = 2x - 1 is 3. The vertex of f(x) is at (-3,-1). What is the
product of a, b and c?
Answers
Answer:
a= 1/6
b=1
c=1/2
a*b*c = [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Y = Ax2 Bx C
Enter coefficients here >>> 1/6x^2+ 1x+ 0.5
4 (y + z); use y = 5 and z = 4
Answers
Answer:
It is 9
Step-by-step explanation:
[tex]4(y + z)[/tex]
when y is 5, z is 4
substitute:
[tex] = 4(5 + 4) \\ = 36[/tex]
Answer:
y=5 z = 4 - substitution
4 (5 + 4) = 4 (9) = 36
Please help me solve
Answers
Step-by-step explanation:
Area of triangle=1/2 × base × altitude
base=7/2 ft
altitude=8/5ft
Subtitute values in formula:
Area=1/2*7/2*8/5 square.ft
Area=56/20 square.ft
Note:if you need to ask any question please let me know.
Please help with geometry
Answers
Answer:
x
Step-by-step explanation:
-37
Explanation:
solve for X
1/2(10x+4)=12
Answers
Answer:
x = 2
Step-by-step explanation:
Distribute the 1/2 on the left side to each term
1/2 * 10x + 1/2 * 4 = 12
Now multiplication first before addition on the left side.
5x + 2 = 12
Subtract 2 on both sides
5x = 10
Divide by 5 on both sides
x = 2
Check work
1/2(10(2) + 4) = 12
1/2(20 + 4) = 12
1/2 * 24 = 12
24/2 = 12 = 12
What angles would have to be congruent to prove the triangles are congruent by SAS?
A. AEB = CED
B. AEB = DEC
C. ECD = EAB
D. CDE = ABE