Look : angle 1 + angle 3 = 180°
because it is a straight line.
Thus ;
[tex]5x + 35 + 4x + 10 = 180[/tex]
Simplification
[tex]9x + 45 = 180[/tex]
Subtract sides 45
[tex]9 x = 180 - 45[/tex]
[tex]9x = 135[/tex]
Divided sides 9
[tex] \frac{9}{9}x = \frac{135}{9} \\ [/tex]
[tex]x = 15[/tex]
So x = 15°
_________________________________
angle 1 = 5x + 35°
angle 1 = 5 ( 15 ) + 35°
angle 1 = 75° + 35°
angle 1 = 110°
_________________________________
angle 1 + angle 2 = 180°
110° + angle 2 = 180°
Subtract sides 110°
angle 2 = 180° - 110°
angle 2 = 70°
_________________________________
And we're done...♥️♥️♥️♥️♥️
Find the distance between the two points in simplest radical form.
(-1,9) and (4, -3)
Answer:
GIVEN BY POINTS :-
( -1, 9) , ( 4 , -3)
Here ,
[tex]\bullet \: \: x _{1} = - 1 \\ \bullet \: \: x _{2} = 4 \\ \bullet \: \: y _{1} = 9 \\ \bullet \: \: y _{2} = - 3 \\[/tex]
Using Distance formula :
[tex]= > \sf d = \sqrt{( {x _{2} - x _{1}) }^{2} + {( {y _{2} - y _{1}) }^{2} } } \\ \\ = > \sf d = \sqrt{ ({ 4 + 1)}^{2} + { ( - 3 - 9)}^{2} } \\ \\ = > \sf d = \sqrt{ {5}^{2} + {( - 12)}^{2} } \\ \\ = > \sf d = \sqrt{25 + 144} \\ \\ = > \sf d = \sqrt{169} \\ \\ = > \boxed{ \sf{ d = 13\:units }}\\ [/tex]
Answer: 13
Step-by-step explanation:
(-1, 9) \text{ and } (4, -3)
(−1,9) and (4,−3)
(x_1,y_1)\text{ and }(x_2,y_2)
(x
1
,y
1
) and (x
2
,y
2
)
\text{Distance Formula: }\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}
Distance Formula:
(x
1
−x
2
)
2
+(y
1
−y
2
)
2
\sqrt{(-1-4)^2+(9-(-3))^2}
(−1−4)
2
+(9−(−3))
2
Plug in.
\sqrt{(-1-4)^2+(9+3)^2}
(−1−4)
2
+(9+3)
2
Negative of a negative is a positive.
\sqrt{(-5)^2+(12)^2}
(−5)
2
+(12)
2
Add/Subtract
\sqrt{25+144}
25+144
Square
\sqrt{169}
169
Perfect Square
13
13
Final Answer.
what is 72 divided by 2 plus 80 equal?
Answer:
116
Step-by-step explanation:
7x(2+5) solve
A.14x+5
B49x
PLS help
Answer:
B. 49x
Step-by-step explanation:
hope this helped!!
i need help please someone
WHO WANTS BRAINLIEST ??
Answer:
From what I can see I'd have to say y=2/3x-1.5 but I can't really tell what the exact y-intercept is.
Step-by-step explanation:
What is
3a + 7 - 2a ?
Answer:
=a+7
Step-by-step explanation:
Answer:
a+7
Step-by-step explanation:
combine like terms
3a-2a+7
a+7
A school survey showed 18 out of 20 students preferred taking Art. What percent of the students prefer taking Art?
Answer:
90 %
Step-by-step explanation:
18/20*100%
please give me brainly
Answer:
90percent
Step-by-step explanation:
What's 5+5????????????????
Answer:
10
Step-by-step explanation:
Are you okay
Do you need to talk to someone
What is the answer to F(x)=-5x+7 if f(2)
Answer:
F(x)= -3
Step-by-step explanation:
Plug the 2 into your X variable
-5 (2) + 7
PEMDAS to solve
Multiply
-5 * 2 = -10
Add
-10 +7 = -3
Step-by-step explanation:
f(x)= -5x+7
f(2)= -5(2)+7
f(2)= -10+7
f(2)= -3
PLS HELP I GIVE BRAINLIEST NEED NOW
Nolan deposited $4000 into his account with 4% interest and came back to find he had $4800! How many years did he leave the money in the account for?
1,500 conpututre ;7% tax
Answer:
$1605
Step-by-step explanation:
1500 ⋅ 0.07 = 105
Add 105 to 1500
$1605
Hope I helped :)
Please consider Brainliest :)
A fruit stand sells 5 avocados for $3. how much will it cost for 12 avocados?
Answer: 7.2
Step-by-step explanation:
3/5=0.6
0.6*12=7.2
2.7·6.2–9.3·1.2+6.2·9.3–1.2·2.7 not pemdas
60
See steps
Step by Step Solution:
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "2.7" was replaced by "(27/10)". 8 more similar replacement(s)
STEP
1
:
27
Simplify ——
10
Equation at the end of step
1
:
27 62 93 12 62 93 12 27
(((——•——)-(——•——))+(——•——))-(——•——)
10 10 10 10 10 10 10 10
STEP
2
:
6
Simplify —
5
Equation at the end of step
2
:
27 62 93 12 62 93 6 27
(((——•——)-(——•——))+(——•——))-(—•——)
10 10 10 10 10 10 5 10
STEP
3
:
93
Simplify ——
10
Equation at the end of step
3
:
27 62 93 12 62 93 81
(((——•——)-(——•——))+(——•——))-——
10 10 10 10 10 10 25
STEP
4
:
31
Simplify ——
5
Equation at the end of step
4
:
27 62 93 12 31 93 81
(((——•——)-(——•——))+(——•——))-——
10 10 10 10 5 10 25
STEP
5
:
6
Simplify —
5
Equation at the end of step
5
:
27 62 93 6 2883 81
(((——•——)-(——•—))+————)-——
10 10 10 5 50 25
STEP
6
:
93
Simplify ——
10
Equation at the end of step
6
:
27 62 93 6 2883 81
(((——•——)-(——•—))+————)-——
10 10 10 5 50 25
STEP
7
:
31
Simplify ——
5
Equation at the end of step
7
:
27 31 279 2883 81
(((—— • ——) - ———) + ————) - ——
10 5 25 50 25
STEP
8
:
27
Simplify ——
10
Equation at the end of step
8
:
27 31 279 2883 81
(((—— • ——) - ———) + ————) - ——
10 5 25 50 25
STEP
9
:
Calculating the Least Common Multiple
9.1 Find the Least Common Multiple
The left denominator is : 50
The right denominator is : 25
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 1 0 1
5 2 2 2
Product of all
Prime Factors 50 25 50
Least Common Multiple:
50
Calculating Multipliers :
9.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 1
Right_M = L.C.M / R_Deno = 2
Making Equivalent Fractions :
9.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 837
—————————————————— = ———
L.C.M 50
R. Mult. • R. Num. 279 • 2
—————————————————— = ———————
L.C.M 50
Adding fractions that have a common denominator :
9.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
837 - (279 • 2) 279
——————————————— = ———
50 50
Equation at the end of step
9
:
279 2883 81
(——— + ————) - ——
50 50 25
STEP
10
:
Adding fractions which have a common denominator
10.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
279 + 2883 1581
—————————— = ————
50 25
Equation at the end of step
10
:
1581 81
———— - ——
25 25
STEP
11
:
Adding fractions which have a common denominator
11.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
1581 - (81) 60
——————————— = ——
25 1
Final result :
60
PLEASE HELP ASAP!!! /
Answer:
3:4
3/4
3 to 4
The ratio 3:7 represents how many smiley faces there are compared to how many shapes there are in total.
11:28
Answer:
Faces to Blocks
3:4 3/4 3 to 4
Blocks to faces
4:3 4/3 4 to 3
Ratio 3:7 represents
a part to whole ratio
The math problem
28-17 = 11 so the answer is 11:28
Step-by-step explanation:
16r6sc/8r2s6 Which expression is equivalent to the given expression? Assume the denominator does not equal zero. A. B. C. D.
Answer:
B.
Step-by-step explanation:
The required expression is equivalent to the given expression is C.
An equivalent expression for 16r6sc/8r2s6 is to determine.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Numerator = it is the term positioned above in the ratio
Denominator = it is the term positioned below in the ratio
Here,
= 16r6sc/8r2s6
Factored 16 into 8 * 2
= 8*2r6sc/8r2s6
Rearrange the numerator in order to simplify relative to denominator.
=8r2s6c/8r2s6
8r2s6 are common in the denominator and the numerator of the ratio denominator does not equal zero so it implies
=c/1
Thus the required expression is equivalent to the given expression is C.
Learn more about Ratio here:
brainly.com/question/13419413
#SPJ6
sara wong spent $15 on three fancy pens.how much did each pen cost
Answer:
$5
Step-by-step explanation:
3 pens=$15
3x=15
3x÷3=x 15÷3=5
1 pen is $5
Multiple Choice
Find each quotient.
one fourth divided by three eighths
A. one-third
B. two-thirds
C. start fraction 3 over 4 end fraction
D. three-eighths
Answer:
B
Step-by-step explanation:
-13=m-7 how can i get my answer
Answer:
m = -6
Step-by-step explanation:
-13=m-7
+7 +7
-6=m
Answer:
m=-6
Step-by-step explanation:
What you do is add 7 to both sides of the equation canceling the 7 out leaving you with -13+7 which is equal to -6 so, M=-6
Question 8
Translate and Solve
Twelve more than seven times a number equals the number less six. What is the answer not equation?
Answer:
-3
Step-by-step explanation:
12 + 7x = x - 6
7x - x = -6 - 12
6x = -18
x = -3
The translation of the given statement is 12 + 7n < 6.
What is inequality ?Inequality is a form of comparing two non equal quantities.It has four types less than, less than or equal to and greater than, greater than equal to.
According to the given question we have to translate a given statement into a numerical expression.
Given, Twelve more than seven times a number equals the number less six.
Let the number be denoted by 'n'.
Twelve more than 7 times a number is 12 + 7n is less than 6.
12 + 7n < 6.
7n < 6 - 12
7n < -6
n < -6/7.
learn more about inequality here :
https://brainly.com/question/20383699
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If 20 squirrels can eat a bushel of corn in 10 hours, how many squirrels can eat a bushel of corn in 2 hours?
Answer:
Answer is 100
Step-by-step explanation:
1 x 10 = 10
10 x 20 = 200
It takes 1 squirrel 200 hours
so,
200/100 = 2 hours
The answer is 100
Hope that helps
Answer:
100
Step-by-step explanation:
just do 20*5. You get the 5 from 10÷2=5 Then 20*5=100!
10x-5y=20 solve for x
Answer:
x=2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
20/10
Nilda has $250 in her savings account. She plans to save $15 per week from her salary. Iona has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?
Answer: 10 weeks
Step-by-step explanation:
Nilda's money = 250 +15x being x the number of weeks that have passed
Lona's money= 200+20x
If they have the same amount, then
250+15x=200+20x
250-200=(20-15)x
50=5x
50/5=x
10=x
Answer:
10 weeks
Step-by-step explanation:
Nilda's money = 250 + 15x
Lona's money = 200 + 20x
250 + 15x = 200 + 20x
250 - 200 = (20 - 15)x
50 = 5x
10 = x
HELP THIS IS DUE TODAY
Answer:
First box:6 inches
Second box: 5 inches
Step-by-step explanation:
[tex]V=\pi r^2h[/tex]
Divide both sides by [tex]\pi r^2[/tex]
[tex]h=\frac{V}{\pi r^2}[/tex]
First box: [tex]h=\frac{96\pi }{\pi(4)^2 } =\frac{96\pi }{16\pi } =6[/tex] inches
Second box: [tex]h=\frac{31.25\pi }{\pi (2.5)^{2} } =\frac{31.25\pi }{6.25\pi } =5[/tex] inches
solve the following inequality.
-3.55g<-28.4
which graph shows the correct solution?
Answer:
B
Step-by-step explanation:
Are the two statements equivalent?
The ratio of boys to girls is 3 to 4
The ratio of girls to boys is 4 to 3
[tex]Ihopethishelps[/tex]
Answer:
Yes
Step-by-step explanation:
boys to girls is 3 to 4 or 3:4
girls to boys is 4 to 3 or 4:3
-------------------------------------------------------------------
The genders are mixed up but the ratios are the SAME or EQUIVALENT.
-------------------------------------------------------------------
boys 3
girls 4
[tex]hopefullythishelpsyou[/tex]
[tex]enjoyyourday[/tex]
PLEASEE HELPP!! WILL MARK BRAINLIST!! What is the geometric mean of 2 and 50?
Question Progress
2/4 Marks
Homework Progress
17/23 Marks
The diagram shows the position of a ship (S) and a marine base (B).
The scale of the diagram is 1 cm represents 10km.
a) Work out the real distance between
the ship and the base.
N
*B
b) Measure the bearing of B from S.
S*
A fishing boat F is 20 km from S on a bearing of 095°.
c) Mark the position of the fishing boat F with a cross (V).
Answer:
a) 35km
b) 070 degrees
Step-by-step explanation:
To get full marks look at what I did for question (c)
You have to use a protractor on letter s and make sure the 0 on the protractor is facing the letter (N). Now check where 90 degrees is and draw a line straight by using the ruler then use the compass as u can see in the photo, where (x) point is on the end of the compass is your answer {make sure the compass is 2cm which means its 20km. Also make sure to align the compass on the line you drawn}
Thank you
write the given equation of the line that passes through the given points
(4,0) and (0,2)
Answer:
y= -1/2x + 2
or y = -0.5x + 2
Step-by-step explanation:
Use the slope formula to get the slope:
(y2-y1)/ (x2-x1)
(2-0)/(0-4)
2/-4
-1/2
Plug in any point in Point-Slope Formula:
y - y1 = m(x-x1)
y- 0 = -1/2 (x -4)
y = -x/2 + 4/2
y= -1/2x + 2
If AB = 10, and BC = 5, what is the value of CD?
Michael's family was traveling to visit prospective colleges
They drove to the closest college that
interested him, took a tour, and then drove to another
college a little farther from home. The graph shown
represents the situation.
Answer:
Step-by-step explanation:
Domain is defined by the input values (x-values) on the graph.
Range is defined by the output values (y-values) on the graph.
From the graph attached,
Domain: [0, 5]
Range: [0, 300]
Maximum point of the graph is (5, 300). It denotes that Michael's family took 5 hours to reach the maximum point which is 300 miles from their home.