Answers
Answer:
Equation: 4x = 128
[tex]m\angle 1 = 84\degree[/tex]
[tex]m\angle 2 = 96\degree[/tex]
Step-by-step explanation:
[tex]m\angle 1+ m\angle 2 =180\degree[/tex] (Linear pair angles)-> (x + 52)° + (3x)° = 180°-> (4x + 52)° = 180° -> 4x + 52 = 180-> 4x = 180 - 52-> 4x = 128 ( This is the required equation)-> x = 128/4-> x = 32[tex]m\angle 1 = (32+52)\degree = 84\degree[/tex][tex]m\angle 2 = (3*32)\degree = 96\degree[/tex]Related Questions
Calculate the area of ABC
There's a mistake in the picture - AC is 5cm too
Answers
Help pls!!!!! Quickly pls worth 100 points!!!!!!!!!
Answers
Answer:
[tex]\sf m = \dfrac{2}{5}[/tex]
Explanation:
A system of equations will have no solution when:
1st equation = y = ax + b2nd equation = y = ax + cMeaning they shall have the same slope but different constant.
Here given:[tex]\sf y = \dfrac{2}{5} x - 7[/tex] Here slope: 2/5 and constant: -7
Another equation:
[tex]\sf y = \dfrac{2}{5} x + 3[/tex] Has the same slope but different constant.
Answer:
m = 2/5
Step-by-step explanation:
Understanding :
A system of equations have no solutions when they do not cross/intersect each other at any point.
This is only possible when the slopes of the lines are equal.
Solution :
Hence,
m = 2/5Andy was practicing for a marathon. Each week he ran, he increased his distance by 3 km. If he ran 8 km the first week, after how many weeks will he be able to run 29 km?
Answers
Answer:
Week 8
Step-by-step explanation:
week 1 8
week 2 11
week 3 14
week 4 17
week 5 20
week 6 23
week 7 26
week 8 29
A brick layer can build a wall in 6 hours and his apprentice would need 16 hours to build the same wall. When they work together, the apprentice works 5 hours longer than the brick layer. How many hours does each work
Answers
Answer:
Step-by-step explanation:
The brick layer builds ( 1 wall ) / ( 6 hrs )
That's the same as ( 1/6 wall ) / ( 1 hour )
------------------------------------
The apprentice builds ( 1 wall ) / ( 16 hrs )
That's the same as ( 1/16 wall ) / ( 1 hour )
--------------------------------------
Let t = the time that the brick layer works
t + 5 = the timer the apprentice works
-----------------------------------------
( brick layer's rate ) x ( brick layer's time ) +
( apprentice's rate ) x ( apprentice's time ) = 1
( 1 is the whole job )
-----------------------------------------
(1/6) · t + (1/16) · (t + 5) = 1
Multiply both sides by 48
8t + 3t + 15 = 48
11t = 33
t = 3
t + 5 = 8
the brick layer works 3 hrs
The apprentice works 8 hrs
----------------------------
Check:
(1/6) · t + (1/16) · (t + 5) = 1
(1/6) · 3 + (1/16) · (3 + 5) = 1
1/2 + 1/2 = 1
OKRectangle QUAD has coordinates Q(0,0), U(0,), A(,), and D(,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor . What are the coordinates of point D'?
Answers
The coordinates of point D' are (36,0).
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
QUAD has coordinates Q(0,0), U(0,3), A(6,3), and D(6,0).
The scale factor for Q'U'A'D' is 6.
So, the coordinates of Q'U'A'D' after dilation is:
Q'(0,0), U'(0,3*6), A'(6*6,3*6), and D'(6*6,0).
and Q'(0,0), U'(0,18), A'(36,18), and D'(36,0).
Hence, the coordinate of D' is (36,0).
Learn more about scale factor here:
https://brainly.com/question/22312172
#SPJ1
PLEASE HELP ME SOLVE THIS!!
Answers
Answer:
x = 18
Step-by-step explanation:
Let's find x :-
[tex] {x}^{2} - 11 + 3 = 180^{o} [/tex]
[tex] {x}^{2} - 8x = 180[/tex]
[tex] {x}^{2} = 8x - 180 = 0[/tex]
[tex](x - 18)(x + 10)[/tex]
[tex]x = 18[/tex]
Write a system of inequalities using the given graph
Answers
For dark line
(0,1)(-1,-4)Slope
m=-4-1/-1=5Equation in point slope form
y-1=5xy=5x+1Put (0,0)
0<1As line is dark sign is ≤
The inequality
y≤5x+1For dashed line
(2,0)(0,-2)Equation in intercept form
x/2-y/2=1x-y=2y=x-2Put (0,0)
0>-2Symbol is >
Inequality is
y>x-2у= 1/5x -4 #1
у= -4/1х + 3 | #2
X
y
у
Answers
the left is number 1 graphed. middle is number 2.
right is number 3.
Click “show your work” and graph the absolute value function shown below. f(x) =|x – 4| + 1
Answers
Answer: here u go
Step-by-step explanation:
Match the correct corresponding parts. Make sure your letters are in the correct order!!
SAT~GRE
Answers
Answer:
Step-by-step explanation:
how to draw a model of 2 divided by 1/4
Answers
Answer: Answer below
Step-by-step explanation:
just draw 2 rectangles and draw 3 lines in each one to make 4 equal sections
Dorothy is trying to lose weight. She is exercising and eating right
every day. She started out with a weight of 203 pounds. Each day, she
loses 1.5 pounds. What is her weight after 21.5 days? Round your
answer to the nearest tenth of a pound.
Answers
I accidentally deleted the thing that said answer but the answer is 170.7
Step-by-step explanation:
You multiply 1.5 times 21.5 you get 32.25 then you round and get 32.3 lastly you do 203 minus 32.3 to get 170.7.
My son would like to know what is the solution to Pi and i don't even know so I someone to help me with this!
Answers
Answer:
3.14285714Step-by-step explanation:
[tex] \frac{22}{7} = 3.14285714[/tex]Stay safe, stay healthy and blessed.Stay safe, stay healthy and blessed.Have a good day !Stay safe, stay healthy and blessed.Have a good day !Thank youWhat is the measure of ZRMN?
1179
M
R
N
[Not drawn to scale)
2270
639
1170
1639
Answers
Evaluate f(8): f(x) = x²-4
Answers
Answer:
60
Step-by-step explanation:
[tex]\begin{aligned}f(x) & =x^2-4\\\implies f(8) & =(8)^2-4\\& =64-4\\& =60\end{aligned}[/tex]
14. Which of the following is true about given APQR given in Figure 7.82 to the right? a. p²+q²=² b. q²+r²=p² c. (p+q)²=r² d. p²+r²=q² Q P R T 9 Figure 7.82 P
Answers
a. p²+q²=r²
According to the Pythagorean theorem :
p²+q²=r² ,because this is a right triangle and r is the length of the hypotenuse.
PLS HURRY ON CURRENTLY I WILL GIVE BRAINLIST
A box plot is titled Daily Reading Time and labeled Time (min). The left most point on the number line is 15 and the right most point is 55. The box is labeled 21 on the left edge and 48 on the right edge. A vertical line is drawn inside the rectangle at the point 37. The whiskers are labeled as 16 and 53
What information is provided by the box plot? (3 points)
The mean for the data
The median for the data
The number of students who provided information
The number of students who read for more than 21.5 minutes
Answers
Answer:
The right one is ........
Please, I require assistance
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
given 2 intersecting chords in a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
FH × HG = DH × HE ( substitute values )
2y = 3 × 4 = 12 ( divide both sides by 2 )
y = 6
then
DE = 3 + 4 = 7
FG = 2 + y = 2 + 6 = 8
(b)
given 2 secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the other secant's external part and the entire secant , that is
AB × AC = AD × AE ( substitute values )
5(5 + x) = 6 × (6 + 6)
25 + 5x = 6 × 12 = 72 ( subtract 25 from both sides )
5x = 47 ( divide both sides by 5 )
x = 9.4
then
AE = 6 + 6 = 12
AC = 5 + x = 5 + 9.4 = 14.4
Please help if you know!
Answers
Answer:
2.5 cups
Step-by-step explanation:
[tex]\frac{2}{12} =\frac{x}{15}[/tex] (x is the amount of cups of zucchini you will need to feed 15 people)
This proportion is showing that 2 cups of zucchini can feed 12 people, and we will use it to find how much zucchini we will need to feed 15 people.
Cross multiply
30 = 12x
divide both sides by 12 to isolate x
[tex]\frac{30}{12}[/tex] = x
2.5 = x
That is your answer
- Kan Academy Advance
A group of researchers want to determine whether type of psychotherapy has an effect on the number of PTSD symptoms in refugees. Specifically, they wan to determine if MDMA, a hallucinogenic drug given in a one-time dose, has a greater effect on reducing PTSD symptoms in refugees than the standard PTSD treatment or a placebo control. The researcher randomly assigns 60 people to 1 of the 3 treatment conditions. What is the alternative hypothesis in notation form? u1 =/ u2 =/ u3 p > 0 u1 = u2 = u3 It cannot be written in notation form.
Answers
The option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.
What are the null hypothesis and alternative hypothesis?The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.
We have:
A group of researchers wants to determine whether the type of psychotherapy has an effect on the number of PTSD symptoms in refugees.
As we can see in the problem, there are three treatment conditions are given.
Alternative hypothesis H₁: Not all means are equal
[tex]\rm H_0: \mu_1\neq \mu_2\neq \mu_3[/tex]
Thus, the option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.
Learn more about the null hypothesis and alternative hypothesis here:
https://brainly.com/question/27335001
#SPJ1
GUYS PLEASE HELP LIKE ASAP
What is the mean, median, mode, and range of the
following data set? Be sure to label which
measurement you are referring to.
7,9,6,9, 7, 4,7
Answers
Answer:
if im not wrong all answers are 7
Step-by-step explanation:
if you add all the numbers u get 49 and if u divide by 7 cuz u have seven numbers. you should get 7 thats you mean. then for median if u put them from least to greatest ur middle number would still be seven and then your mode would be seven since seven shows up the most.
The graph below represents data that was collected by students on the
number of social media posts they made the previous day.
SOCIAL MEDIA POSTS
umber of Students)
2
g
Question: what was the mean number of posts made?
Answers
The mean is the ratio of the actual number of observations to the sum of the observations. Then the mean will be 2.5.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency. Arithmetic mean is a term used to describe the average.
The graph below represents data that was collected by students on the number of social media posts they made the previous day.
Then the mean will be
The sum of the observation will be
Observation sum = 4 + 2 + 2 + 3 + 3 + 2 + 1 +3
Observation sum = 20
Then the mean will be
Mean = 20/8
Mean = 2.5
More about the mean link is given below.
https://brainly.com/question/521501
#SPJ1
(giving brainliest and 40 points) a package of trail mix weighs \frac {7}{8} pound. raisins make up \frac {1}{10} of the trail mix. how much of the trail mix, in pounds, is raisins? move numbers to the boxes to show the answer. if there is no whole number, enter () in the first box. \frac {\square }{\square } 0 1 7 8 10 18 39 40 70 80
Answers
Answer:
7/80 lb
Step-by-step explanation:
We are given that 1/10 of the 7/8 pound package is raisins.
__
The weight of raisins is ...
(1/10)(7/8 lb) = 7/80 lb
2. Determine the principal that will earn $294 in 5 years at 6% per annum simple interest.
Answers
Answer:
state the formula which is S.I =P×T×R
Log5(2x)=4 can u please help me im bout to take a test
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: log_{5}(2x) = 4[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x= {5}^{4} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2x= 625[/tex]
[tex]\qquad \sf \dashrightarrow \: x= 625 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 312.5[/tex]
I Hope you understood the procedure ~
please help mehhhh quick
Answers
Answer:
A
Step-by-step explanation:
If you read the sentences aloud, A is the only answer that makes grammatical sense, since colons are short pauses in sentences, much like commas. Colons are also commonly used for the beginning of a list, as shown here.
Hope this helped!
A certain radionuclide is used to diagnose lymphoma. an atom of this radionuclide contains 31 protons and 36 neutrons. which statement is correct about the radionuclide? the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a. the atomic number is 31, the mass number is 67, and its symbol is superscript 31 subscript 67 baseline upper g a. the atomic number is 67, the mass number is 31, and its symbol is superscript 67 subscript 31 baseline upper g a. the atomic number is 67, the mass number is 31, and its symbol is superscript 31 subscript 67 baseline upper g a.
Answers
The statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.
To answert the question, we need to know what an atom is.
What is an atom?An atom is the smallest indivisible part of a substance. It is represented by letters.
It has an atomic number which is the number of protons or electrons present in an atom and is written as a subscript in from of the letter symbol.It has a mass number which is the number of protons plus neutrons in an atom and is written as a subscript in from of the letter symbol.So, since the atom of this radionuclide contains 31 protons and 36 neutrons.
So, its atomic number is 31. Its mass number is number of protons + number of neutrons = 31 + 36 = 67. Its symbol is superscript 67 and subscript 31.
So, the statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.
Learn more about atom here:
https://brainly.com/question/1805828
#SPJ4
(r^-7)^6 im looking for anwser
Answers
Answer:
( r^-7 )^6 = r^-42 ( in exponential form )
( or )
1 / r^42 ( in fractional form )
Step-by-step explanation:
( r^-7 )^6
Formula : -
( a^m )^n = a^( mn )
Here,
a = r
m = - 7
r = 6
mn
= - 7 * 6
= - 42
Hence,
( r^-7 )^6 = r^-42 ( in exponential form )
( or )
( r^-7 )^6 = 1 / r^42 ( in fractional form )
A basketball team has 15 members, and 18 of them are sixth graders what percentage of the team is in sixth grade?
Answers
Answer:
120% are sixth graders
But, If you meant to say 18 basketball players and 15 6th graders, the percentage would be around 83.3%
A segment in the complex plane has a midpoint at 7 – 2i. if the segment has an endpoint at 11 – 3i, what is the other endpoint? –10 –2i 3 – i 9 – 2.5i 18 – 4i
Answers
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{11}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +11}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right)~~ = ~~\stackrel{\stackrel{midpoint}{\downarrow }}{(7~~,~~-2}) \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{ x +11}{2}~~ = ~~7\implies x+11=14\implies \boxed{x=3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}~~ = ~~-2\implies y-3=-4\implies y=-1\implies y=-1i\implies \boxed{y=-i}[/tex]