In triangle ABC, the measure of angle CAB is 80° and the measure of angle ABC is 45.5°. What is the measure of angle BCA in degrees? A 125.5°125.5 degrees B 54.5°54.5 degrees C 55.5°55.5 degrees D 64.5°
Answer:
B 54.5°
Step-by-step explanation:
Since we have a triangle,
CAB + ABC + BCA = 180 (sum of angles in a triangle)
Since CAB = 80° and ABC = 45.5°, substituting these into the equation, we have
80° + 45.5° + BCA = 180°
simplifying, we have
125.5° + BCA = 180°
collecting like terms, we have
BCA = 180° - 125.5°
BCA = 54.5°
So, the answer is B
if a polyhedron has 15 edges and 9 vertices how many face will it have?
Answer:
8
Step-by-step explanation:
E = 15, V = 9, F =?
By Euler's rule, we have:
F + V - E = 2
F + 9 - 15 = 2
F - 6 = 2
F = 6 + 2
F = 8
In ΔTUV, the measure of ∠V=90°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure of ∠T to the nearest degree.
Answer:
<T = 73
Step-by-step explanation:
just did the assignment on Delta Math
Answer:
73
Step-by-step explanation:
What is the area of the arrow
Answer:
20.25 ft
Step-by-step explanation:
area of the triangle = 12.25 ft
area of rectangle = 18ft
= 20.25 ft
What is the equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented
2
y =
5*
X + 2?
ОА
5
y = -x-3
B
5
y=-x +3
2
с
5
Y=2*+7
D
5
y = x-7
Nor
Answer:
B only if
Step-by-step explanation:
If b is 5y=-2x+3
Then its b
Because the slope to be perpendicular it would be -2/5
Please help meeeeeee!!!!! ill give BRAINLIEST
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=6 is a straight line perpendicular to the y-axis at point (0,6) , which means that the range is a set of one value {6} .
Find the 9th term for the sequence using the recursive rule f(l) -2 and f(n) = f(n-l) -9
Answer:
What grade is this for
Step-by-step explanation:
A square has an area of 81 cm^2?
What is the length of each side?
Craig bought a 3-foot long baguette, and then made 4 equally sized sandwiches with it. What portion of the baguette was used for each sandwich? (A baguette is a long roll. Are you splitting the baguette into sandwiches or are you splitting the sandwiches into baguettes?) 1 point
Answer:
1/4 of the baguette was used for each sandwich, or 3/4 ft of it.
Step-by-step explanation:
How many cubic units would take to make a model of a recrangular prisim that is 6 units long x 3 units wide x 2 unita high?
Answer:
Step-by-step explanation:
So, you need 24 unit cubes to make a model of the rectangular prism specified
Which of the following expressions is equivalent to 8.8.8.8.8.8?
Answer:
8^6
Step-by-step explanation:
This just means that 8 is being multiplied by itself 6 times
Evaluate f(a+4)
pls help me w this !
Please help and please make sure it’s right
Answer:
135 degrees
Step-by-step explanation:
all the angles in a triangle need to add to 180 degrees, so you take
180-(65+70)= 45
Then you just find the supplementary angle
45+x=180
x=135
Round 3.55 to the nearest tenth.
Answer: 3.6
Step-by-step explanation: if the second number after the decimal point is five or above you would round the first number after the decimal point up.
Which expression is equivalent to 5(a+b)
Answer:
5a + 5b
Step-by-step explanation:
5(a+b)
= 5a + 5b
Just expand it
PLEASE HELP.
The population of Metropolis was approximately 2,600,000 people in 2000. The population began decreasing at a rate of 1.1% every year after 2000.
Which function models the population of Metropolis x years after 2000?
f(x)=0.989(2,600,000)x
f(x)=2,600,000(1.011)x
f(x)=2,600,000(0.989)x
f(x)=1.011(2,600,000)x
Answer:
The answer is C i just took the test.
Answer:
it's C i just took the test
Step-by-step explanation:
I don’t understand please help
Answer:C the number of brushes
Step-by-step explanation:
Z represents the number of brushes, which if it’s 0 it means you’ve not purchased any.
Find the value of X.
Which of the following is equivalent to? 19
5(
5X
–
10)
=
15 solve it
The value of x for the given equation is [tex]\dfrac{13}{5}[/tex]
What is linear equation in one variable?Linear equation in one variable refers to an equation that can be rearranged in the form [tex]\rm ax + b = c[/tex], where [tex]\rm a \neq 0[/tex]b and c are integers. The equation is solved to determine the value of [tex]\rm x\\[/tex].
Calculations:
[tex]\begin{aligned} 5(5\rm x -10) &= 15\\\\5\rm x - 10 &= \dfrac{15}{5} \\\\5\rm x - 10&= 3\\\\5\rm x &= 3 + 10\\\\5\rm x &= 13\\\\\rm x& = \dfrac{13}{5} \end[/tex]
Therefore, the solution of the equation [tex]5(5\rm x - 10) = 15[/tex] is [tex]\dfrac{13}{5}[/tex].
Learn more about linear equations here:
https://brainly.com/question/14362668
If ΔABC ≅ ΔDEF by SSS and AB = 5x + 6 and DE = 3x +10, then what must be the value of x?
Answer:
ab=de corresponding side of the congruent triangle are equal
5x+6=3x+10
5x-3x=10-6
2x=4
x=4/2=2
2 is your answer
3x+30=180 degrees, what is the value of the letter x in this problem?
Answer:
50
Step-by-step explanation:
180-30=150/3=50
3x + 30 = 180
-30 -30 subtract 30 on both sides, solve for 180 - 30 which is 150.
___________
3x = 150
__ ___ divide 3 on both sides, solve for 150 ÷ 3 which is 50.
3 3
x = 50, final answer
hope this helps! :)
A regulation bowling ball has a diameter of 8.5 inches. What is the volume of the bowling ball?
Answer:
well its a whole
diameter is all the way across so take 8.5 and times it by 3.14 which is 26.69 that is your volume but if you want a more mathematical answer then
1 inch = 2.54 cm
16 oz = 1 lb
28.3 g = 1 oz
volume of a sphere = 4/3pi(r)^3
Step-by-step explanation:
Jack is going to drive from his house to City A without stopping. An equation that determines Jack's distance from City A t hours after leaving his house is D=220-55t. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
Delta Math
The y-intercept represents the distance between city A and house which is 220 units.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have an equation that determines Jack's distance from City A t hours after leaving his house:
D = 220 - 55t
To find the y-intercept plug t = 0
D = 220 units
The y-intercept is (0, 220)
The equation represents the distance as Jack is closer to city A the distance between Jakie and city A is decreasing.
At t = 0
D = 220 units
When Jack is at home the distance between city A and the house is 220 units.
Thus, the y-intercept represents the distance between city A and house which is 220 units.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ1
geometry Find x and y given that the quadrilateral is a parallelogram
Answer:
x = 3
y = 2
Step-by-step explanation:
Opposite side of parallelogram are equal.
-4x + 6 = -6x
-4x = -12x
-x = -3
x = 3
7y + 3 = 12y - 7
-5y = -10
-y = -2
y = 2
Can y’all solve this please
Jim works as a manager at Food Lion. He earns $600.00 a week in salary. If Jim has three paid vacation weeks a year… what is Jim’s gross salary a year?
Answer:
Step-by-step explanation:
Jim' s salary will be
600*52=31,200
his vacation is paid, so it doesn't matter how many weeks he has off.
Answer:
$31,200.00 gross pay
Step-by-step explanation:
$600.00 he makes every week times the 52 weeks of the year since he gets paid vacation weeks.
52 weeks x $600.00 = $31,200.00 in gross pay
please help me solve
DEGREE MEASURE:
When the arc is shown, and the lines that designate where the arc is go through the center, then the degree is the same as that marked on the circle. The degree measure of arc AB is 120 degrees.
LENGTH:
The length of an arc can be found using the formula for the circumference of a circle. The formula for the circumference of a circle is C = pi * diameter. The circumference of this circle is 40pi inches. Now, arc AB is only 120 degrees of the whole circle. 120 / 360 = 1/3. Therefore, we need to divide the circumference by 3. The length of arc AB is (40pi)/3 inches.
Hope this helps!! :)
Last month Eric spent 87.00 dollars on games. This month he only spent $92.00. What
was the percent change?
Answer:
The change was 5.75%, hope that helped.
Step-by-step explanation:
Two freight trains are delivering cargo. One freight train is delivering coal, and the other freight train is delivering grain. Their
respective distances traveled after x hours is represented in the table and graph below.
y
Grain Freight Train
405
360
315
Σ 270
Coal Freight Train
Time Distance Traveled
(Hours) (Miles)
1
48
2
96
3
144
4
192
225
180
135
8 90
45
0 1 2 3 4 5 6 7 8 9 ►
Time (Hours)
Which freight train is traveling at a faster speed?
OA. Both freight trains are traveling at the same speed.
ОВ.
The coal freight train is traveling at a faster speed.
C.
The grain freight train is traveling at a faster speed.
OD
There is not enough information to determine the speed of the trains.
Answer:
The coal freight train is traveling at a faster speed.
Step-by-step explanation:
The complete question is attached.
Both trains delivery can be represented using coordinates, where y represent the distance traveled and x represent the hours.
For the coal freight train, we can take two points. Let us use (1, 49) and (3, 147). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-49=\frac{147-49}{3-1} (x-1)\\\\y-49=49(x-1)\\\\y=49x[/tex]
For the grain freight train, we can take two points. Let us use (0, 0) and (3, 135). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{135-0}{3-0} (x-0)\\\\y=45x[/tex]
Since the coal freight train has a slope (49) higher than the grain freight train (45), hence the coal freight train travels faster