calculate the measure of each angle. find X
Solution:
Note that:
4x - 27 = 3x + 4 (Vertically opposite angles)Using the equation (4x - 27 = 3x + 4), solve for x.
4x - 27 = 3x + 4=> -3x + 4x - 27 = 3x + 4 - 3x=> x - 27 = 4=> x - 27 + 27 = 4 + 27=> x = 31The measure of x is 31.
Solve for X ~
[tex] \bf4x - 27 = 3x + 4[/tex]
[tex] \bf \: 4x - 3x = 4 + 27[/tex]
[tex] \boxed{ \bf \: x = 31}[/tex]
Now, Finding each angle⤵️[tex] \tt \: ∠1 = 2x + 21 \\ \tt \: = 2 \times 31 + 21 \\ \tt \: ∠1= 83 \degree[/tex]
[tex] \tt \: ∠2 = 4x + 27\\ \tt \: = 4\times 31 - 27 \\ \tt \: ∠2= 97 \degree[/tex]
[tex] \tt \: ∠3 = 3x + 4 \\ \tt \: = 3\times 31 + 4 \\ \tt \: ∠3= 97 \degree[/tex]
Brainliest if correct
Answer:
y=3
Step-by-step explanation:
We can solve this using substitution (substitute 4 for x)...
4+y=7
Subtract 4 from both sides
y=3
Answer:
y = 3
Step-by-step explanation:
x + y = 7
x = 4
4 + y = 7
y = 7 - 4
y = 3
Which shows how to find the x-coordinate of the point that will divide AB into a 2:3 ratio using the formula x=(a/a+b)(x2-x1)+x1?
Now, Plug in the values in the formula
[tex] \boxed{ \sf \multimap \: x = ( \frac{a}{a + b})( x_{2} - x_{1}) + x_{1} }[/tex]
[tex] \tt\nRightarrow \: x = ( \frac{2}{2 + 3} )( - 3 - 2) + 2[/tex]
[tex] \bf \Rrightarrow \: x = (\frac{2}{5} )( - 3 - 2) + 2[/tex]
➪ Therefore, Option C is the correct choice!!~A birch tree that is 4 ft tall grows at a rate of 1 ft per year. A larch tree that is 6 ft tall grows at a rate of 0.5 ft per year.
Let the variable t represent time in years and let the variable h represent height in feet.
In how many years will the trees be the same height?
Which system of equations can be used to solve this problem?
{h=1+4th=0.5+6t
{h=4+th=6+0.5t
{h=5th=6.5t
{h=4−th=6−0.5t
Answer:
h=1+4th=0.5+6t
Step-by-step explanation:
you have to multiply t and h by four and 1 separately
Answer:
H=4+t
H=6+0.5t
Step-by-step explanation:
Took the test the other answer is wrong.
is cot 4 a is equal to tan (a - 20) where 4a is an acute angle find the value of a
Answer:
a = 22
Step-by-step explanation:
[tex]cot \: 4a = tan \: (a - 20)....(given) \\ \\ \implies \: tan(90 - 4a) = tan \: (a - 20) \\ [\because \: cot \theta = tan(90 \degree - \theta) ]\\ \\ \implies (90 - 4a) = tan(a - 20) \\ \\ \implies \: 90 + 20 = 4a + a \\ \\\implies \: 110 = 5a \\ \\ \implies \: a = \frac{110}{5} \\ \\ \huge \red{ \boxed{\implies \: a = 22}}[/tex]
A motorist covers distance of 180km in 3hours.calculate the speed at which the motorist was driving
Answer:
60 Km / hour
Step-by-step explanation:
average speed (S) is calculated as
S = [tex]\frac{D}{T}[/tex] ( D is distance and T time in hours )
here D = 180 and T = 3 , then
S = [tex]\frac{180}{3}[/tex] = 60 Km / hour
heather ate 3/6 of a box of cookies. Melody ate 3/5, who ate
more?
Answer:
Melody
Step-by-step explanation:
3/6 = 0.5
3/5 = 0.6
i.e. If it has the same numerator but different denominator the one with the smaller denominator will be bigger
Answer: Melody ate more.
Step-by-step explanation:
So, it would be Melody who ate more because
Over here:
Heather: ate 3 OUT of 6
Melody: ate 3 OUT of 5
Melody ate more because if you count up to 5 theres two cookies left, while Heather had 3 cookies left.
Hope this answers your question!
can someone help me please
Answer:
a) 1.2 seconds
b) 50 bpm
Step-by-step explanation:
a)The period is the value of t that makes the angle be 2π:
5πt/3 = 2π
t = 3(2π)/(5π) = 6/5
The period of the function is 6/5 = 1.2 seconds.
__
b)The number of beats per minute is ...
(1 beat)/(1.2 s) × (60 s)/(1 min) = 60/1.2 beats/min = 50 beats/min
1. When you add the fractions 5/8, 3/16 and 11/32 the answer is _____________ *
Answer:
37/32
Step-by-step explanation:
5/8 + 3/16 + 11/32 = 37/32
Answer:
1.15625 or 1 and 5/32
Step-by-step explanation:
Result
5/8 + 3/16
= 13/16
Result in decimals: 0.8125
Calculation steps:
5/8 + 3/16 =
5 × 2
8 × 2
+
3
16
=
10
16
+
3
16
=
10 + 3/16 = 13/ 16
The next step would be:
home / math / fraction calculator
Fraction Calculator
Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator.
Result
13
16
+
11
32
=
37
32
=
1 5
32
Result in decimals: 1.15625
Calculation steps:
13
16
+
11
32
=
13 × 2
16 × 2
+
11
32
=
26
32
+
11
32
=
26 + 11
32
=
37
32
=
1 5
32
Hope this helps! Have a nice day!
Please give brainliest when possible!
:3
Jen traveled from Boston to Cape Cod at 60 mph. On her way back, the
traffic was bad and her return trip took 3 times as long. What was Jen's
average speed on the round trip?
Jen's average speed on the round trip will be 20mph
Distance and spedThe formula for calculating speed is expressed as:
Speed = Distance/Time
d = st
Let the time taken on Jen's way to Cape Cod be "t"
The time taken back to Boston will be t + 3
d1 = 60t
d2 = 60(t+3)
Since he traveled the same distance to and fro, hence;
Average speed = 60/3
Average speed = 20mph
Hence Jen's average speed on the round trip will be 20mph
Learn more on speed here: https://brainly.com/question/4931057
Answer:
30 mph
Step-by-step explanation:
A real estate broker sold your house for $189,000 The broker's commission was 4.5% of the selling price. How much would you get for the house after the commission is paid ?
Answer: $180,495 is the take-home after the broker's commission.
Step-by-step explanation:
What is the value of u?
Answer:
W/m²K by-step explanation:
An equation of the circle with center (h, k) and radius r is (−ℎ)^2+(−)^2=^2
Answer:
An equation of the circle with center (h, k) and radius r:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Step-by-step explanation:
Not sure what you need to find out but,
An equation of the circle with center (h, k) and radius r:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The person who started Educational system ,was really educated?
If you have any doubt in maths you can ask ?
Answer:
me plase me me please meeee
Answer:
Education is started when humans arose in the world.
Step-by-step explanation:
I am unable to understand the laws of sin cosin tan cot sec etc
Solve for b.
b
-1 = 5
4
b = 1
Answer:
B= 16
b/4 - -1 =5 is the same as b/4 + 1 = 5
b/4 + 1 = 5
- 1 both sides
b/4 = 4
x 4 both sides
b=16
16/4 - -1 =5
4 + 1 = 5
- - Means add
+ + Means add
- + Means take away or minus
Hope this helps!
[tex] \frac{b}{4} - ( - 1) = 5 \\ \\ \frac{b}{4} + 1 = 5 \\ \\ \frac{b}{4} = 5 - 1 \\ \\ \frac{b}{4} = 4 \\ \\ b = \frac{4}{4} \\ \\ b = 1.[/tex]
The value of b is 1 .
.The Tigers scored nine times fewer points than the Eagles. The Tigers
scored 18 points. How many points did the Eagles score
Answer:
2
Step-by-step explanation:
18/9=2
its 9 times fewer than 18
Here are all the ways to make 5 except for one. Which one is missing?
5 + 0 = 5
2 + 3 = 5
4 + 1 = 5
3 + 2 = 5
0 + 5 = 5
Answer:
1 + 4 = 5
Step-by-step explanation:
You did duplicates of all numbers, other than that one! :)
Hope this helps!!
What is the percent difference in height between a building that is 600 feet tall and a tree that is 72
Answer:
730%
Step-by-step explanation:
600 - 72 = 528
528/72 = 7.3
7.3 * 100 = 730%
i need help woth this quadratics questions, confused, i think the answer is 24 but the answer key says 34
Answer:
then it's 34... sometimes I have a hard time understanding a math problem and I feel that... I suggest using Math*way without the (*) it helped me a lot through high school and college check it out see if you like it
Step-by-step explanation:
Will give Brainlist pls answer
Answer:
Negative
Step-by-step explanation:
From the number line we see that [tex]m[/tex] is negative and [tex]n[/tex] is positive
The expression in the parentheses, [tex](-m . n^2)[/tex] is positive since
[tex]-m[/tex] is the negative of a negative number and the sign of that is positive
[tex]n^2[/tex] is positive since a positive (or negative) number squared is always positive
[tex]\frac{m}{n}[/tex] is a negative number. If you divide a negative number, the sign of the result is negative
So evaluating the whole expression [tex]\frac{m}{n} .( m . n^2)[/tex]
gives us a negative number multiplied by a positive number and the result is a negative number
answer both questions and get 20 points and brainliest
Answer:
item 30.
d. 1 ½ as we can see the difference between the each x value is 2 and y value is more of 1 and 2.
items 31.
a. ⅖ as similar to upper question the difference between each x value is 2 and y value is 5 so ⅖
I will give brainliest to correct answer
Answer:
less than 1 bag
Step-by-step explanation:
[tex] \sf{12 \: sq \: yds \: require = 7.5 \: bags}[/tex]
[tex] \implies\sf{1 \: sq \: yd \: will \: require = \frac{7.5}{12} \: bags} \\ = \sf{ \underline{0.625}}[/tex]
which is less than 1.
Implies that, each square yard requires about less than 1 bag of mulch.
Give an example using the subject of time to describe how to number patterns are related. go math 5th grade 563 9.5
Answer:
they are related by numbers
The decrease in the worth of Kenzie's car can be represented by the function m(t)=23,000(0.97)t, where t is the time in years, and m is the car's value in dollars.
What is the average rate of change of the car's value in dollars per year (rounded to the nearest dollar) during the first 4 years Kenzie owns it?
660
2638
−2638
−660
Answer:
-660
Step-by-step explanation:
4. What will be the coordinates of L' given the following transformation?
J(-2,2), KT-1, 2), 1(-1, -2), M( -3, -1); (3,2)
A) (-5,0
B) (-1,4)
C) (2, 4)
D) (2,0)
Pllllease help mmmme
Answer:
21/38
0.553
Step-by-step explanation:
There are 63 married males out of the total 114 males.
So the fraction is 63/114. That is simplified into 21/38
Then divide 38 by 21 to get the decimal form.
38÷21=0.55263...
How many gallons of 35% alcohol solution and 50% alcohol solution must be mixed to get 9 gallons of 40%
alcohol solution?
There needs to be____
gallons of 35 % alcohol solution and____
gallons of 50 % solution.
There needs to be 6 gallons of 35 % alcohol solution
and 3 gallons of 50 % solution.
======================================================
Explanation:
x = number of gallons of the 35% solution
y = number of gallons of the 50% solution
The two amounts must add to 9 gallons, so x+y = 9
This solves to y = 9-x
Since we want 9 gallons of 40% alcohol solution, this means we want 0.40*9 = 3.6 gallons of pure alcohol.
----------------
0.35x = amount of pure alcohol from the first batch
0.50y = amount of pure alcohol from the second batch
0.35x+0.50y = total amount of pure alcohol
Set that expression equal to the 3.6 figure calculated earlier (the total amount of pure alcohol we're after) and we get this equation
0.35x+0.50y = 3.6
----------------
Next, we replace y with 9-x and then solve for x.
0.35x+0.50y = 3.6
0.35x+0.50(9-x) = 3.6
0.35x+4.5-0.50x = 3.6
-0.15x+4.5 = 3.6
-0.15x = 3.6-4.5
-0.15x = -0.9
x = -0.9/(-0.15)
x = 6
We'll need 6 gallons of the 35% solution
Use this x value to find y
y = 9-x
y = 9-6
y = 3
We'll also need 3 gallons of the 50% solution
if you are going 55 miles per hour how long will it be til you go 70 miles
Answer
time = 60 miles / (55 miles/hour) = (60/55) (miles/(miles/hour)) = 1.09 hour
Step-by-step explanation:
Speed = distance / time
A bit of algebra will get you the formula
time = distance/speed
Answer:
15sec if its a lamboghihi
Step-by-step explanation:
The residents of the city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there was 11,648 total votes, how many yes votes were there?
In this swimming pool design, explain how to find the area of the pool's surface.
Answer:
Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.
Step-by-step explanation:sample