Practice: Find the value of the variable(s) in each figure explain your reasoning.
Answers
Answer:
I'm assuming you know how to solve first degree equations, in particular how to move terms from one side to the other.
Top figure. The two angles measuring 3x and 5x-20 are congruent (they are alternate angles related to the two parallels and the transversal closing the triangle.. Now, if 3x = 5x-20 a simple solution is x=10. Now into the triangle, the sum of the internal angles has to be 180, and we already know how much x measures. 2y+4y+30 =180. Solve for y =25
Middle figure. From the bottom right corner, you can already tell that 2y+106= 180, or y=37. But 2y and x are congruent (corresponding angles), so x= 74. Pick the method you prefer to say that either 4z+6=106 (both angles are congruent to the one in the bottom corner since they're corresponding, thus they have to be equal to each other) OR 4z+6+x = 180 (they're conjugate angles to x, so their sum is 180). To get z=25
Bottom row in both cases, the two angles sum up to 90°
Left one: 4x-20+2x-16 = 90 so x = 21
Right one: 2x-30 +x+15= 90 so x = 35
Related Questions
Does anyone one have the vocabulary words and definitions for this iready lesson? (Pls help this is graded)
Answers
Answer:
absolute value
coefficient
constant
counterexample
equation
expression
evaluate
inequality
I hope that helps maybe give brainliest if it does!
Love,
-Banana
The scale of a map is 1 cm : 17 km. Find the actual distance corresponding to the map distance.
1:
The distance on the map is 2.5 cm.
The actual distance is «m.
Answers
Answer:
I believe its 42.5 or 42500
Step-by-step explanation:
if its not right im so so so so sorry
lf the volume of a sphere= 4.5π cm³ then the radius length is .....?
Answers
Answer:
Radius = 3.232 cm to the nearest thousandth.
Step-by-step explanation:
Volume of a sphere = 4/3πr^3, so:
45π = 4/3πr^3 π is common to both sides, so:
45 = 4/3 r^3
r^3 = 45 * 3/4
r^3 = 33.75
r = 3.232 cm.
cuantos segundos tiene una hora
Answers
Answer:
3600
Step-by-step explanation:
Answer:
3600
Step-by-step explanation:
verificando :)
How much money should Annika give Susan?
Answers
Answer:
it depends on how much Annika has and if she is willing to give Susan money
Step-by-step explanation:
I could have answered properly but i do not understand the question it just states that, look below
How much money should Annika give Susan?
?.....helpp lolllll helpppp
Answers
Answer: the answer is F
Step-by-step explanation: the pictures that are used for the yearbook are added to the picture for the paper which results in 450, the 270 is on top because it’s the pictures for the yearbook
HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 6/5
Step-by-step explanation:
Slope = Rise/ Run
=6/5
What percentage of a dollar is the value of 5 quarters and 1 dime?
Answers
Answer:
135%
Step-by-step explanation:
1 dollar is 100 cents. 5 quarters and 1 dime is 5x25 + 10 = 135 cents. 5 quarters and 1 dime would be 135/100 = 135% of 1 dollar.
Which equation represents a line which is perpendicular to the line 5x+2y=12?
A. y = -5/2x + 2
B. y = -2/5x - 4
C. y = 5/2x + 3
D. y = 2/5x - 3
Answers
Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,..
d(1)=
d(n)=d(n-1)+
Answers
Answer:
d(1) = 8
d(n) = d(n-1) + (-13)
What is the vertex of Y=x^2+5x-7
Answers
Answer:
the vertex of this parabola is at (5/2, 47/4)
Step-by-step explanation:
Y=x^2+5x-7 is written in 'standard form' for a quadratic. Comparing this to
y = ax^2 + 5x - 7, we see that a = 1 and b = 5.
-b
The formula for the x-coordinate of the vertex is x = --------
5 2a
which in this case has the value x = ------- = 5/2
2(1)
Now use the quadratic formula to find the y-value of the vertex:
y = (5/2)^2 + 5(5/2) - 7, or
y = 25/4 + 25/2 - 7, or
y = 11.75 or 11 3/4
Thus the vertex of this parabola is at (5/2, 47/4)
Of 14 possible books you plan to take 8 with you on vacation how many possible coalitions of 8 could you have?
Answers
Answer:
let me think about this
Step-by-step explanation:
question i may help
This is a combination equation:
14C8 = 14!/8!(6!) = 3003
Answer: 3003
Would it be easier for Dana from problem 3-68 to find a single 12-foot board of clear wood rather than four clear 3-foot pieces? Use a simulation to estimate the average number of 12-foot boards he would have to consider.
Answers
Question
1. Put the following equation in Standard Form:
y=-1/3x + 4
Answers
y = -1/3x + 4
Start by getting rid of fraction
Multiply all by 3
3y = -1x + 12
Add x to both side
x + 3y = 12
Solution: x + 3y = 12
a 20 pound platter of cookies costs $77. the platter is a mix of peanut butter that costs $4 per pound, sugar that costs $3 per pound, and chocolate chip that’s costs $4.50 per pound. there are two more pounds of sugar cookies than peanut butter. how many pounds of sugar cookies are on the platter?
Answers
Answer: 7 pounds of sugar cookies
X+Y+Z = 20
4x + 3y +4.50z = 77
-x + y + 0z = 2
X+Y+Z = 20 4x + 3y + 4.50z = 77
-x + y +Oz = 2 (-x + y + 0z = 2) x 4 (-4x +4y+0z=8)
Add the problems vertically
0x + 2y + z = 22 0x +7y + 4.50 z = 85
Rewrite the problem
2y + z = 22 (Times 7)
7y + 4.50 = 85 (Times -2)
14y +7z = 154
-14y - 9z = -170
Add Vertically
-2z = -16
divide by -2
z = 8
there are 8 Chocy Chips
if we plug 8 for z in 2y + z = 22 we get y = 7
making 5 be X (Cause X+Y+z = 20)
8 Chocy
7 Sugar
5 Peanut butter
-- Gage Millar, Alg 1/2 tutor
Rewrite the following equation in slope-intercept form.
y − 3 = 12( x + 4)
Answers
Answer:
y=12x+51
Step-by-step explanation:
x is an acute angle. Find the value of x in degrees. 3 sin(x) = 2. X =
Answers
Answer:
Step-by-step explanation:
square root (3)/2 = 1.732/2 = .86603
Sin(x) = 0.86603
x = sin-1(0.86603)
x = 60
A cake measures 18 centimeters in diameter. Find how much room there is to spread frosting on the top of the cake.Complete the answer sentence. You may consider writing your answer to the hundredths place and using the calculator to help you solve.
Answers
Diameter=18
As radius is half of the diameter radius=9
2*9*pi
18pi= 56.5(1dp)
A man and his son are in the living room watching TV when the son asks his father a question.
"Dad, why is my sister's name Teresa?"
The dad thinks for a little bit and answers him.
"Well your mother loves Easter, and when you rearrange the letters in Teresa, you get Easter."
The son understands and says,"Thanks, dad."
The dad replies with,"No problem, Alan"
Answers
When we arrange Alan it brings out a dirty word
Answer:
so what is the q
Step-by-step explanation:
Ginny factored 6x2 – 31x – 30 as shown:
ac = –180 and b = 31
36(–5) = –180 and 36 + (–5) = 31
6x2 + 36x – 5x – 30
6x(x + 6) – 5(x + 6)
(x + 6)(6x – 5)
Determine if Ginny factored correctly. If not, explain where she made an error.
Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.
Ginny was correct until step 3 when she used 36 and –5 as the coefficients of x.
Ginny was correct until step 4 when she incorrectly factored the GCF from 5x – 30.
Ginny factored the trinomial correctly.
Answers
Answer:
(a) Ginny made a mistake in step 1 when she identified b = 31. It should be b=–31.
Step-by-step explanation:
The value of b is the coefficient of x. In the given quadratic expression, the coefficient of x is -31, so Ginny should have started with b = -31 in step 1.
Answer:
A
Step-by-step explanation:
For every 30 minutes she dances, Nell stretches for 10 minutes. What is the ratio value of the time Nell dances to the
time she stretches?
3
10
10/30
30
Pls answer correct
Answers
Answer:
30
Step-by-step explanation:
Answer:
A. 3Step-by-step explanation:
For every 30 minutes she dances, Nell stretches for 10 minutes
Ratio:
Dance / Stretch = 30 min / 10 min = 3/1 = 3Myra won the hurdles event for the seventh graders. She completed the race in 22.8 seconds and knocked down 1 hurdle. Byron won the race for the eighth graders. He completed the race in 20.3 seconds and knocked down 3 hurdles. If 2 seconds are added to the finishing time for each hurdle that is knocked down, what is the final time for each runner? Award 110 points to the team with the fastest time.
pls help im tired.
Answers
Answer:
My answer is Myra: 24.8s Byron: 26.3s so byron is the winner
Step-by-step explanation:
I did it on my track and field day assignment and got it right
n/4 = -11
what does the N =
Answers
Answer:
N = -44
Step-by-step explanation:
have a great day! :)
Answer:
n=44
Step-by-step explanation:
n/4=11/1
crossmultiply
n=4×11=44
simplify 2 by 5 into 4 by 7 + 21 by 35
Answers
[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]
Answer:[tex] \frac{29}{35} [/tex]
Hope it helps.
Do comment if you have any query.
3x-4y=
3x−4y=
\,\,9
9
-5x+4y=
−5x+4y=
\,\,-23
−23
Answers
Answer: (7,3)
Step-by-step explanation:
[Please check]: I decoded the equations as follows:
3x-4y=9 and −5x+4y=-23
We can solve this by either of two methods: Algebra and graphing.
Algebra:
Add the two equations:
3x-4y=9
−5x+4y=-23
-2x = -14
x = 7
Use x=7 to solve for y:
3x-4y=9
3(7)-4y=9
21 -4y = 9
-4y = -12
y = 3
----
The solution is (7,3)
======
Graphing:
See the attached graph. The lines intersect at (7,3)
BRAINLIEST
can I get some help on this
Answers
Answer:
1.
Sin Q=14/50=7/25
Cos Q=PQ/50
Tan Q=14/PQ
Sin R=PQ/50
Cos R=14/50=7/25
Tan R=PQ/14
2. Tan (48) = x/14, x~~15.549
3. Sin (67) = x/29, x~~26.695
Step-by-step explanation:
REMEMBER SOHCAHTOA (Sin=Opp./Hyp., Cos=Adj./Hyp., Tan=Opp./Adj.)
1.
Sin Q=14/50=7/25
Cos Q=PQ/50
Tan Q=14/PQ
Sin R=PQ/50
Cos R=14/50=7/25
Tan R=PQ/14
2. Tan (48) = x/14, x~~15.549
3. Sin (67) = x/29, x~~26.695
Is 4 16/18 simplified and what is the simplified version
Answers
Answer:
no
4 16/18 = 88
88 simplified is 44/9 ?
You turn it into a improper fraction then simplify it. 56/18 to 28/9.
Then turn it back into a mixed number:)
*ONLY* 44-47 please help meeee
Answers
Answer:
44 - 47 is -3 if thats what youre asking
Step-by-step explanation:
I need the answer please and thank you
Answers
Answer: First do 145 - 25, which is 120. Then do 120 ÷ 15 = 8. Therefore the slope intercept is y ÷ 15 = x. Their voyage will last 8 days.
Explanation: Brainliest please
2) Find the area and perimeter of a semi -circular disc whose radius is 10cm. (take π = 3.14)
Answers
Answer:
Area =Pi r2=3.14×10x10
=3.14×100cm2
=3.14cm2
Perimeter = 2 pi r
=2 ×3.14×10
=6.28cm
Or =Pi d
= 3.14 ×20cm
=62.8cm
Note:R means radius
D means diameter
radius is half of a diameter e.g radius is10 and diameter is 20
I can recommend you watching yt videos it helped me alot
hoo this helps:)