Answer:
36.7
Step-by-step explanation:
180 - 102.9 - 40.4= 36.7
The measure of the third angle of the given triangle after applying the angle sum property of a triangle is 36.7 degrees.
The measures of the two angles of a triangle are 102.9 and 40.4.
We need to find the measure of the third angle.
What is the Angle Sum Property of a triangle?The angle sum property of a triangle states that the sum of all three interior angles of a triangle is 180 degrees.
If A, B, and C are the interior angles we have,
A + B + C = 180.
Consider the three interior angles to be A, B, and C.
We are given two angles 102.9 and 40.4.
Let A = 102.9, B = 40.4.
and C = angle to be measured.
Now,
Applying the angle sum property of a triangle.
We have,
A + B + C = 180
102.9 + 40.4 + C = 180
143.3 + C = 180
C = 180 - 143.3
C = 36.7 degrees.
After applying the angle sum property of a triangle we got the measure of the third angle as 36.7 degrees.
Learn more about the measurement of angles in a triangle here:
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someone help me please with this algebra problem
Answer:
L=65-15d; continuous
Step-by-step explanation: L stands for the length of the leaf, 65 stands for the original length of the leaf(which will decrease), d stands for the days. the answer is L=65-15d continuous because the original size of the leaf when he bought it was 65(which can decrease over time), every afternoon he cuts the leaf by 15 (which means the size of the leaf is decreasing and by 15 every day) which gives me -15d, if he cuts the leaf by 15 every day and never changes the length of the cut then the function is continuous
Tele-Mart instituted a 5-for-1 split in April. After the split, Ashlee owned 1,860 shares. How many shares had she owned before the split?
Answer:
372 shares
Step-by-step explanation:
Let
x = shares owned before the split
Share after split : share before split = 5 : 1
Share after split : share before split = 1,860 : x
Equate both ratios
5 : 1 = 1,860 : x
5/1 = 1,860/x
Cross product
5 * x = 1 * 1,860
5x = 1,860
x = 1,860/5
x = 372
x = shares owned before the split = 372 shares
Take -4 + 3a 2 from 7a - a 2.
Answer:
Refer to the attachment!~
Integration. Please help ASAP
Answer:
I hope this helps
Step-by-step explanation:
4a=5b+5 2a=3b+2. solve using the method of elimination
please help !*
Answer:
a = 2.5, b = 1
Step-by-step explanation:
Given the 2 equations
4a = 5b + 5 → (1)
2a = 3b + 2 → (2)
Multiplying (2) by - 2 and adding the result to (1) will eliminate a
- 4a = - 6b - 4 → (3)
Add (1) and (3) term by term to eliminate a
0 = - b + 1 ( add b to both sides )
b = 1
Substitute b = 1 into either of the 2 equations and solve for a
Substituting into (2)
2a = 3(1) + 2 = 3 + 2 = 5 ( divide both sides by 2 )
a = 2.5
Answer:
a = 2.5
b = 1
Step-by-step explanation:
4a = 5b + 5 and 2a = 3b + 2
→ Multiply the second equation by 2
4a = 6b + 4
→ Subtract this new equation from the first one
0 = b - 1
→ Find b by adding 1 on both sides
b = 1
→ Substitute b into one of the equation
4a = ( 5 × 1 ) + 5
→ Simplify
4a = 10
→ Divide both sides by 4
a = 2.5
How do i turn 3/8 into a percent
Compare the rates for different numbers of texts. If Roger's father wants to get a 600-text message plan, what is the difference in price for the Dial It Up and Ring Ring plans?
Answer:
[tex]\$6[/tex]
Step-by-step explanation:
Given
See comment for complete question
Required
The difference in the cost of 600 text messages plan
Representing the given data as; Cost to Number of text messages, we have:
[tex]Dial\ Up = \$5 : 100[/tex]
and
[tex]Ring\ Ring= \$8 : 200[/tex]
Multiply the dial-up by 6 to get the cost of 600
[tex]Dial\ Up = \$5 *6 : 100 * 6[/tex]
[tex]Dial\ Up = \$30 : 600[/tex]
So, the cost of 600 text messages is $30 --- for dial-up
Multiply the Ring Ring by 3 to get the cost of 600
[tex]Ring\ Ring= \$8 *3: 200*3[/tex]
[tex]Ring\ Ring= \$24: 600[/tex]
So, the cost of 600 text messages is $24 --- for Ring Ring
The difference (d) is:
[tex]d = \$30 - \$24[/tex]
[tex]d = \$6[/tex]
PLS HELP I WILL GIVE BRAINLIEST
Kimberly will be riding her bike to school this year. The distance from her house to the end of the street is 1/6 mile. The distance from the end of the street to school is 3/8 mile. About how far is Kimberly's house from school?
Answer:
Step-by-step explanation:
The total distance = 1/6 + 3/8 miles Change the denominators to 24
D = 1/6 + 3/8 = 4*1/6*4 + 3*3 / 8 * 3
D = 4/24 + 9/24
D = 13/24 of mile.
[tex]solve : - \\ \\ (2 ^{2} + 4 {}^{2}) = {?}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {20}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
[tex] = ( {2}^{2} + {4}^{2} )[/tex]
[tex] = [(2 \times 2) + (4 \times 4)][/tex]
[tex] = (4 + 16)[/tex]
[tex] = 20[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Thank\:you! }}{\orange{❦}}}}}[/tex]
Given the diagram below, solve for x. Enter only a number rounded to the nearest tenth
Answer:
x = 60 cm
Step-by-step explanation:
using Pythagoras theorem which states that:-
Hypotenuse (h)² = perpendicular (p)² + base (b)²
h = 100 cmb = 80 cmp = x100² = 80² + x²
100² - 80² = x²
10000 - 6400 = x²
3600 = x²
x = 60 cm
Solve for x. Round to the nearest tenth of a degree, if necessary.
Sin (angle) = opposite leg / hypotenuse
Sin(x) = 2.1/4
x = arcsin(21./4)
x = 31.7 degrees
What is the equation for the radius of a circle
Answer:
Um
Step-by-step explanation:
Its half of diameter
Are you thinking of circumference and area?
Jessie spent $10 on 3 hair accessories. Which point represents this relationship?
x
y
0
0
15
3
30
6
Assuming there is a proportional relationship, which additional set of values could be included in the table?
Answer: X or 30
Step-by-step explanation:
the temperature at the foot of a mountain is 5.9 ° C. The temperature decreases by 1.7 ° C for every increase of 200m in height. If the height of the mountain is 1000m, what is the temperature at the top of the mountain?
asap answer pls -------------------
Answer:
f(2) = - 5
Step-by-step explanation:
Using the recursive rule and f(1) = - 3 , then
f(2) = 2f(1) + 1 = 2 × - 3 + 1 = - 6 + 1 = - 5
In the given figure, ∠QPR = ?
Answer:
QPR=PRS(Being alternative Angel)
Last year there were 221 students and 12 teachers at Hilliard School. This year there are 272 students. The principal wants to keep the same student to teacher ratio as last year. Which proportion can the principal use to find x, the number of teacher needed this year?
Answer:
3264:221
Step-by-step explanation:
If by last year there were 221 students and 12 teachers at Hilliard School, then;
221students = 12teachers
To find the equivalent ratio for 272students, we can say;
272students = x teachers
Divide both expressions
221/272 = 12/x
Cross multiply
221 * x = 272 * 12
221x = 3264
x = 3264/221
x = 3264:221
This gives the required proportion
Which of the following savings plans is modeled by the table of values
below?
.
Answer:
"D"
tart at $10 then 4 each day
Step-by-step explanation:
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(8,6) and (5,9)
Answer: 69, -69
Step-by-step explanation:
it is easy buddy not lies
Question 22 (5 points)
If the legs of a right triangle are 20 units and 21 units, what's the length of the
hypotenuse?
29 units
4.4 units
6.4 units
22 units
through my working i got to 41² is the hypotenuse.
21²+20²=c²
factor out the square
(21+20)²=c²
41²=c²
and 41² is 1681
Answer:
29 units
Step-by-step explanation:
i just took the quiz
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,axis of symmetry and minimum or maximum point. (a) f(x) = -2x² + 7x + 4.
Pls help me! I'll mark u as the brainliest
Given:
The function is:
[tex]f(x)=-2x^2+7x+4[/tex]
To find:
Express the quadratic equation in the form of [tex]f(x)=a(x-h)^2+k[/tex], then state the minimum or maximum value,axis of symmetry and minimum or maximum point.
Solution:
The vertex form of a quadratic function is:
[tex]f(x)=a(x-h)^2+k[/tex] ...(i)
Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.
We have,
[tex]f(x)=-2x^2+7x+4[/tex]
It can be written as:
[tex]f(x)=-2\left(x^2-3.5x\right)+4[/tex]
Adding and subtracting square of half of coefficient of x inside the parenthesis, we get
[tex]f(x)=-2\left(x^2-3.5x+(\dfrac{3.5}{2})^2-(\dfrac{3.5}{2})^2\right)+4[/tex]
[tex]f(x)=-2\left(x^2-3.5x+(1.75)^2\right)-2\left(-(1.75)^2\right)+4[/tex]
[tex]f(x)=-2\left(x-1.75\right)^2+2(3.0625)+4[/tex]
[tex]f(x)=-2\left(x-1.75\right)^2+6.125+4[/tex]
[tex]f(x)=-2\left(x-1.75\right)^2+10.125[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=-2,h=1.75,k=10.125[/tex]
Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.
Maximum value = 10.125
Axis of symmetry : [tex]x=1.75[/tex]
Maximum point = (1.75,10.125)
Therefore, the vertex form of the given function is [tex]f(x)=-2\left(x-1.75\right)^2+10.125[/tex], the maximum value is 10.125, the axis of symmetry is [tex]x=1.75[/tex] and the maximum point is (1.75,10.125).
Ardi and Lei are both travelling by train. Ardi's train travels 70 km in 35 minutes. Lei's train travels 585 km. It leaves at 9:05 and arrives at 13:35. Work out the difference, in km/h, between the average speed of their trains.
Answer:
10 km/hr
Step-by-step explanation:
Average speed = Total distance travelled / Total time taken
Ardi:
Total distance travelled = 70 km
Total time taken = 35 minutes = 35/60 hour
Average speed = Total distance travelled / Total time taken
= 70 km ÷ 35/60 hr
= 70 × 60/35
= 4,200/35
= 120 km/hr
Lei:
Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes
= 4.5 hours
Average speed = Total distance travelled / Total time taken
= 585 km / 4.5 hours
= 130 km/hr
Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train
= 130 km/hr - 120 km/hr
= 10 km/hr
NEED HELP ASAP what function is this??
Answer:
linear
Step-by-step explanation:
the graph in the above equation is linear function
Find the value of x in x + y= 9 and x - y= 3.
6
-6
3
-3
x + y= 9 and x - y= 3
rearrange the second equation:
x - y= 3
x = 3 + y
x -3 = y
substitute y with "x-3" in the first equation and solve
x + y= 9
x + (x-3)= 9
2x -3 = 9
2x = 12
x = 6
you could also start with the first equation and substitute y in the second.
graphically speaking, it's the intersection point of to lines, at least the six-part of the point.
Una bañera en forma de trapecio tiene un area de 60 metro ademas se sabe que su base mayor es 3/2 mas grande que su base menor calcule la altura cuando la base menor es 18 metros
Respuesta:
3,2 metros
Explicación paso a paso:
Área del trapecio:
A = 1/2 (a + b) h
h = altura; ayb son las bases
Área, A = 60
Sea una base más pequeña = a = 18;
b = 18 + 3/2 = 19,5
La altura se puede calcular así;
60 = 1/2 (18 + 19,5) h
60 * 2 = 37,5 horas
120 = 37,5 h
h = 120 / 37,5
h = 3,2 metros
C-x:x is a two-digit natural number such that the sum of its digits is is 89
Find the greatest common factor of the
following monomials:
12a^2, 32a^3
Answer:
4a^2
Step-by-step explanation:
GCF of 12 and 32 is 4.
GCF of a^3 and a^2 is a^2.
Therefore, the answer is 4a^2.
Question below plz answer it fast!
Answer:
The answer is 49 .
Step-by-step explanation:
Do i need to explain ?
pls help w explanation!!
A town with a population of 5,000 is being divided
into two voting districts: District X and District Y.
The populations of the two districts must differ by no
more than 500 people. Which of the following
systems represents all possible values for the
population x of District X and the population y of
District Y?
A) x-y ≤ 500 and x+y =5,000 B) x-y =500 and x+y ≤ 5,000 C) -500 ≤ x - y ≤ 500 and x+ y =5,000 D) -250 ≤ x - y ≤ 250 and x + y = 5,000
Answer:
A is the Answer
Step-by-step explanation:
Since the population is being split up into 2 divisions out of 5,000.
This means District X and Y must add up 5000.
[tex]x + y = 5000[/tex]
District X and Y must differ no more than 500 people.
So this means that X and Y total people difference cannot be over 500 people. So the equation for this is
[tex]x - y \leqslant 500[/tex]
A shows this so A is the answer.
−5y+3x=3
−8y+9x=−12
What is X and Y please.
Answer:
( -4, -3 )
Step-by-step explanation:
Let's solve by elimination. Reason being there are no variables without coefficients.
−5y+3x=3 Multiply equation by 3. Each term.
−8y+9x=−12
-15y + 9x = 9 Subtract the to equations
-8y + 9x = -12
___________
-7y = 21
y = -3
Substitute y into original equation
-5(-3) + 3x = 3
15 + 3x = 3 Subtract 15 both sides
3x = -12 Divide by 3, both sides
x = -4
Answer:
y=-3
x=-4
Check:
-5(-3)+3(-4) =3
15-12=3
3=3 ✅
-8(-3)+9(-4)=-12
24-36=-12
-12=-12✅