A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 117° and angle z = 63°. Work out x
Consider the below figure attached with this question.
Given:
A, B & C lie on a straight line. D, C & E lie on a different straight line.
[tex]\angle y=117^\circ,\angle z=63^\circ[/tex]
To find:
The value of x.
Solution:
A, B & C lie on a straight line.
[tex]m\angle ABD+m\angle DBC=180^\circ[/tex] (Linear pair)
[tex]y+m\angle DBC=180^\circ[/tex]
[tex]m\angle DBC=180^\circ-y[/tex]
According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
[tex]m\angle DBC+m\angle BDC=m\angle BCE[/tex] (Exterior angle theorem)
[tex]180^\circ-y+z=x[/tex]
[tex]180^\circ-117^\circ +63^\circ =x[/tex]
[tex]126^\circ =x[/tex]
Therefore, the value of x is 126 degrees.
PLEASEEEEEE HEELLLPPP MEEEE!!!!
Answer:
the top one is posable oucomes and the the bottom is the other on
Step-by-step explanation:
Answer:
1 fav
2. possible
Step-by-step explanation:
2017 - Q13
13 Tivo identical number cubes are shown in the picture. The edge length of these number cubes
is 3 centimeters.
What is the combined volume of the two number cubes in cubic centimeters?
A 54 cm
B 18 cm
C 9 cm
D 27 cm
Answer:
Combined volume of the two number cubes = 54 cm³
Step-by-step explanation:
Given:
Side of a cube = 3 centimeter
Number of cubes = 2
Find:
Combined volume of the two number cubes
Computation:
If we combine two cube new figure will be a cuboid.
Length of new cuboid = 3 + 3 = 6 cm
Height of new cuboid = 3 cm
Width of new cuboid = 3 cm
Volume of cuboid = (l)(b)(h)
Combined volume of the two number cubes = (6)(3)(3)
Combined volume of the two number cubes = 54 cm³
Find the perimeter of the pentagon MNPQR with vertices M(2, 4), N(5, 8), P(8, 4), Q(8, 1), and R(2, 1)
Answer:
The pentagon MNPQR has a perimeter of 22 units.
Step-by-step explanation:
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
[tex]p = MN + NP + PQ + QR + RM[/tex] (1)
[tex]p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}[/tex] (1b)
If we know that [tex]M(x,y) = (2,4)[/tex], [tex]N(x,y) = (5,8)[/tex], [tex]P(x,y) = (8,4)[/tex], [tex]Q(x,y) = (8,1)[/tex] and [tex]R(x,y) = (2,1)[/tex], then the perimeter of the pentagon MNPQR is:
[tex]p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}[/tex][tex]p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}[/tex]
[tex]p = 22[/tex]
The pentagon MNPQR has a perimeter of 22 units.
The pentagon MNPQR has a perimeter of 22 units.
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
p = MN + NP + PQ + QR + RMp=MN+NP+PQ+QR+RM (1)
p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}p=
MN
∙
MN
+
NP
∙
NP
+
PQ
∙
PQ
+
QR
∙
QR
+
RM
∙
RM
(1b)
If we know that M(x,y) = (2,4)M(x,y)=(2,4) , N(x,y) = (5,8)N(x,y)=(5,8) , P(x,y) = (8,4)P(x,y)=(8,4) , Q(x,y) = (8,1)Q(x,y)=(8,1) and R(x,y) = (2,1)R(x,y)=(2,1) , then the perimeter of the pentagon MNPQR is:
p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}p=
(5−2)
2
+(8−4)
2
+
(8−5)
2
+(4−8)
2
+
(8−8)
2
+(1−4)
2
+
(2−8)
2
+(1−1)
2
+
(2−2)
2
+(4−1)
2
p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}p=
3
2
+4
2
+
3
2
+(−4)
2
+
0
2
+(−3)
2
+
(−6)
2
+0
2
+
0
2
+3
2
p = 22p=22
The pentagon MNPQR has a perimeter of 22 units.
HELPPP PLS what is the circumference of 11 , 8 ,and 6 !
Answer:
C≈34.56, C≈25.13 and C≈18.85
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·11≈34.55752
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·8≈25.13274
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·6≈18.84956
in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values of x,y and z.
Answer:
Step-by-step explanation:
WILL MAKE BRAINLIST only if you solve this
Answer:
18/18 is fractions
16/16 is fractions
Step-by-step explanation:
18/18x16/16=1
Theres your answer.
answer this MATH question thank you :)
Answer:
K
Step-by-step explanation:
By altering the initial height, you change the h-intercept. That will affect the maximum height and the t-intercept.
Answer: K
Answer:
post a new question so we can talk
Step-by-step explanation:
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this.
Answer:
3rd Answer =Option A is the Correct Answer
Step-by-step explanation:
Hi!
3. Maria bought 5 bottles of juice, each being 750 milliliters. She bought 3,750 milliliters of juice in total (750 x 5 = 3750). 3750 milliliters is equal to 3.75 liters. Lori bough 4 liters of juice. So, the correct sentence is A. Lori bought 0.25 liter more juice than Maria.
4. The trail is 3 [tex]\frac{1}{4}[/tex] miles long. Converted to feet, 3 [tex]\frac{1}{4}[/tex] miles is 17,160 feet. Your answer would be D.
Hope this helps! I would appreciate brainliest, if not that's okay!!
Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)
Step-by-step explanation:
Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)
also
6300
8400
= B= 14056
Answer:
5
Step-by-step explanation:
Calculate the slope , rate of change m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, 40) and (x₂, y₂ ) = (6, 30)
m = [tex]\frac{30-40}{6-8}[/tex] = [tex]\frac{-10}{-2}[/tex] = 5
x=5 so what is (x+3)² =
(3+x)²
(5+3)²=
8²=
64
.
.
.
.
Answer:
64
Step-by-step explanation:
Since x=5
(5+3)^2
(8)^2= 64
Explain how solving -7y > 161 is different from solving 7y > -161.
help will give brinlest
Answer:
Dividing with negatives will result in a flip in the signs.
Step-by-step explanation:
In the first equation, -7y>161, if you solve it, you will need to divide both sides by -7.
[tex]-7y > 161\\ \\\\[/tex]
Since you are involving a negative, you will have to switch the signs. That means that if you have solved this, the answer would be:
y < -23Notice the change in signs.
---------------------------
Now in the second equation, the constant (161) is negative. So if you solve this,
[tex]7y > -161[/tex]
You will only need to divide both sides by 7, which is a positive number. That leaves the sign to stay the same, so the answer would be:
y > -23-----------------------If you look at the signs in both answers, they are flipped.Have a nice day!A student has taken three math tests so far this semester. His scores for the first three tests were 65, 67, and 69. Suppose his test scores continue to improve at the same rate. What will be his grade on the sixth (and final) test? What will be his total score for all six tests?
Answer:
75
Step-by-step explanation:
Scores for his first tests were 65, 67, 69.
Rate of change: +2
y=2x+63; 63 is the 0th test he took, his first test was 65, so 65-2=63. 2x is the rate of change, his tests scores increase by 2 each time.
x=6, 6th test score
y=2(6)+63
y=12+63
y=75
So, on his 6th test he will get a score of 75
helppppppppp id.k this
Answer:
-432 ,-2 ,2 ,72
Step-by-step explanation:
The Answer Is 2,592
This is because this is a geometric sequence, every number is multiplied by -6 to find the next number in the sequence.
Felix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).
Answer:
0.068% or 6.8% this will be your final answer
PLEASE HELP ME I PROMISE A BRAINLIEST AND 5 STARS AND TY IF RIGHT PLEASE IM CONFUSED C: NO LINKS OR REPORT RIGHT AWAY >:(
please find the probability of what would happen for the 3 questions marked with black and has independent on them c:
Answer:
Total number of candies:
6 + 3 + 5 + 2 = 16Q1
P(2 red) = 3/16*3/16 = 9/256Q2
P(a yellow and a blue) = 2/16 * 6/16 = 3/64Q3
P(2 greens and a red) = 5/16 * 5/16 * 3/16 = 75/4096What is the slope of the line through (–5,2) and (6,7) in the standard (x,y) coordinate plane?
9
9
5
5
-5
-5
5
11
5 over 11
−
5
11
Step-by-step explanation:
[tex]slope = \frac{\triangle \: y}{\triangle \: x} \\ = \frac{(7 - 2)}{(6 - ( - 5))} \\ = \frac{5}{11} \\ slope = (5 ,11)[/tex]
When two parallel lines are cut by a transversal, _______________________ angles are supplementary
A.Corresponding angles
B. Alternate interior angles
C, Alternate exterior angles
D.Same side interor angles
Answer:
When two parallel lines are cut by a transversal, Alternate interior angles are supplementary.
Step-by-step explanation:
Which in the following terms mean addition
Answer:
I think total of is right answer
Carlos went and purchased a new mattress for $644.80, including tax. He
made a down payment of $200 and plans to pay the balance off in 5 equal
monthly payments. What will Carlos monthly payment be for this mattress?
a $88.96
X $168.96
C$7413
d. $128.96
PLZ HELP
How many solutions does the equation 6p − 4p − 8 = −4 + 3 have? (5 points)
a
One
b
Two
c
None
d
Infinitely many
Answer:
D.infinitely many
try it you'll see
DUE NOW!!! HELP IF U CAN
what is the area of the white box
Answer:
12 m²Step-by-step explanation:
The white box is a rectangle with width of:
a = 2 m
and length of:
b = 7 m - 1 m = 6 m
So its area is A = 2 m × 6 m = 12 m²
{The shaded blue area is: (5 m + 1 m)(8 m) - 12 m² = 48 m² - 12 m² = 36 m²}
What the Sum of Adding the Polynomials.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
The numbers are blurry on the graph
What is the median value of the data set shown on the line plot?
HELP ASAP
Answer:
Median: 6
Step-by-step explanation:
1,2,3,3,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,11
half of 22 (total numbers) is 11, on the 11th spot it is 6
An arithmetic sequence is described by the formula f(n)=128+15(n−1). Find f(12).
Answer:
Step-by-step explanation:
Putting value of n = 12
f(12) = 128 + 15(12 - 1)
= 128 + 180 - 15
= 293
Ja’quan was told to go inside one afternoon while he was at summer camp. He heard thunder and saw flashes of lightning. Suddenly, small balls and chunks of ice were falling on the field. Ja’quan checked the thermometer, because he never saw ice fall in South Florida, and noticed that it was 77°F (or 25°C). How was ice able to fall even though the temperature was much warmer than freezing? a) Ja’quan read the thermometer wrong b) He must have observed hail falling from thunder clouds c) It was cold enough to allow solid precipitation to fall d) Children were most likely throwing ice Reasoning (explain your answer using science facts) _________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Answer:
b
Step-by-step explanation:
hail can occur at temperatures not too cold and not too hot. since he checked his thermometer and it was warm, it is certainly possible that he saw hail
Which equation is correct?
O 3.3 = 32 = 9
4. 4 = 2(4) = 8
7.7 = 2(7) = 49
O 14 - 14 = 142 = 28
Answer:
3.3 = [tex]3^{2}[/tex] = 9
Step-by-step explanation:
find the area and the circumference of the circle round your answers to the nearest hundredth
Answer:
Circumference= 50.27
Area= 201.06