Answer:
x = 4
y = 1
Step-by-step explanation:
At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°
∵ The sum of the interior angles of a triangle is 180°
∴ 52° + 90° + (6x + 14y)° = 180°
→ Add the like terms
∴ 142° + (6x + 14y) = 180°
→ Subtract 142° from both sides
∴ (6x + 14y)° = 38° ⇒ (1)
→ By using the two triangles
∵ The two triangles are congruent
∴ (15x - 8y) = 52° ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by 5 and equation (2) by -2 to make the
coefficients of x equal in values and different in signs
∵ 5(6x + 14y) = 5(38)
∴ 30x + 70y = 190 ⇒ (3)
∵ -2(15x - 8y) = -2(52)
∴ -30x + 16y = -104 ⇒ (4)
→ Add equations (3) and (4) to eliminate x
∵ 86y = 86
→ Divide both sides by 86 to find y
∴ y = 1
→ Substitute the value of y in equation (1) to find x
∵ 6x + 14(1) = 38
∴ 6x + 14 = 38
→ Subtract 14 from both sides
∴ 6x = 24
→ Divide both sides by 6
∴ x = 4
A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.
12(4.5+b2)(6)=21
Answer:
2.5in
Step-by-step explanation:
Given parameters;
Base = 4.5inches
Height = 6inches
Area = 21in²
Unknown:
b₂ = ?
Solution:
Formula for finding the area of a trapezium;
A = [tex]\frac{1}{2}[/tex][tex](b_{1} + b_{2} )[/tex] x h
Input the parameters and solve for b₂;
21 = [tex]\frac{1}{2}[/tex][tex](4.5+ b_{2} )[/tex] x 6
21 = 3(4.5 + b₂)
21 = 13.5 + 3b₂
21 - 13.5 = 3b₂
b₂ = 2.5in
0.05 is 1/10 value of what number
Answer:
1/2=x
0.5
Step-by-step explanation:
x will be the number
5/100=(1/10)x
5/10=x
1/2=x
1/2=0.5
Determine if the function shows a linear relationship or an absolute value relationship. Then evaluate the
function for the indicated value of x.
A. f(x) = |x-31-2; x = -5
B. g(x) = 1.5x; x = 0.2
C. p(x) = 17 - 2x]; x = -3
Could someone show me how to do this?
Step-by-step explanation:
b - no:of students on bus
V - " " on van
so the eqtn is
12v+10b=698
14v+2b=244
so when you solve these two eqtns you get
V=9
b=59
Solve proportion 2/4.5=t/0.5
0.2 or 2/9 in fraction form I believe.
Solve: 4 − 2(2x − 7) = −6.
A) −6
B) −5
C) −3
D) 6
Answer:
x = 6
Step-by-step explanation:
4 − 2(2x − 7) = −6.
Distribute
4 -4x +14 = -6
Combine like terms
18-4x = -6
Subtract 18 from each side
18 -4x-18 = -6-18
-4x = -24
Divide each side by -4
-4x/-4 = -24/-4
x = 6
Donte simplified the expression below. 4 (1 + 3 i) minus (8 minus 5 i). 4 + 3 i minus 8 + 5 i. Negative 4 + 8 i. What mistake did Donte make?
Answer:
He didn't expand properly.
This part: 4(1 + 3i)
Step-by-step explanation:
4(1 + 3i) - (8 - 5i)
Expand:
4 + 12i - 8 + 5i
-4 + 17i
Answer:
A on edge2020
Step-by-step explanation:
did the test
-4( -3 )+ (6-2)/64 = ?
Answer:
12.0625
Step-by-step explanation:
Im not sure but im pretty sure it's correct
12.06 or 193/16 in fraction form I believe. Sorry if it’s wrong.
XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.
Answer:
29° and 58°
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus
∠ ZXY = ∠ WXY = 29°
∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°
A speedboat, at full throttle, can go 65.0 miles in 1.5 hours. What is the average speed of the boat?
In the image above, what do the red arrows on lines mean?
Solve for x and y, please help!
Answer:
x = 37, y = 9
Step-by-step explanation:
3x + 11 and x + 21 are same- side interior angles and are supplementary, thus
3x + 11 + x + 21 = 189 , that is
4x + 32 = 180 ( subtract 32 from both sides )
4x = 148 ( divide both sides by 4 )
x = 37
--------------------------------
3x + 11 = 3(37) + 11 = 111 + 11 = 122
14y - 4 and 3x + 11 are vertical angles and congruent, thus
14y - 4 = 122 ( add 4 to both sides )
14y = 126 ( divide both sides by 14 )
y = 9
A submarine is 150 feet below sea level and then descends 850 feet before rising 35 feet and leveling out. At what depth is the submarine when it levels out?
what equation represents the line that passes through (-2,-1) and has a slope of 5
Answer:
y + 1 = 5 (x+2) in point slope form or y = 5 x + 9 in intercept slope form
Step-by-step explanation:
Answer:
y=5x+9
Step-by-step explanation:
that doesn't give the answer
Answer:
what doesnt give the answer??
Step-by-step explanation:
The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue?
Answer:
ok u need to list the numbers in the journal
Step-by-step explanation:
ASAP ASAP ASAP
HELP ME PLEASE
Answer:
D i'm pretty sure
Step-by-step explanation:
Answer: $2.19
Step-by-step explanation: you have to find the surface area. Add 10*7*2 and 7*1.25*2 and 1.25*10*2 and then multiply by 0.012! Then you can get your answer. (17.5 + 140 + 25)*0.012. I think this is right. Sorry if itś not.
20b-16
Please help I will mark you
Please help me this question is hard
Answer:
I cant see
Step-by-step explanation:
Answer:
dont have an answer yet...question too small to see...
Step-by-step explanation:
25 points help me please
Answer:
we need to know what the question is.
Step-by-step explanation:
Given m 1= 65, find the measure of each missing angle.Givd your reasoning
Answer:
Step-by-step explanation:
Given:
m∠1 = 65°
Since. ∠1 and ∠2 are the angles of linear pair,
m∠1 + m∠2 = 180°
65° + m∠2 = 180°
m∠2 = 115°
m∠1 = m∠3 [Vertical angles]
m∠3 = 115°
Since, ∠1 and ∠4 is the linear pair of angles,
m∠1 + m∠4 = 180°
65° + m∠4 = 180°
m∠4 = 180 - 65 = 115°
m∠4 + m∠5 = 180° [Consecutive interior angles between the parallel lines]
115° + m∠5 = 180°
m∠5 = 180° - 115° = 65°
m∠5 + m∠6 = 180° [Linear pair of angles]
65° + m∠6 = 180°
m∠6 = 115°
m∠5 = m∠7 [Vertical angles]
m∠5 = m∠7 = 65°
m∠6 = m∠8 [Vertical angles]
m∠6 = m∠8 = 115°
Tom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feetTom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feet
Answer:
10,500.93 feet
Step-by-step explanation:
From the question, we are told that Tom walks 3.2km every morning.
1 mile = 1.609km
1 mile = 5280 feet
Step 1
1.609km = 1 mile
3.2km = x mile
Cross Multiply
x mile × 1.609km = 3.2km × 1 mile
x mile = 3.2km × 1 mile/1.609.
= 1.9888129273 miles
1 mile = 5280 feet
1.9888129273miles = y
Cross Multiply
y = 1.9888129273 × 5280 feet/1 mile
= 10500.932256 feet
Approximately = 10,500.93 feet
Therefore, Tom walks for 10,500.93 feet
10560
Answer:
10,500.93 feet
Step-by-step explanation:
Evaluate 3{5 + 3[10 + 4.8]}
Answer:
393
Step-by-step explanation:
(−45)(158)(73)(−1)
QUICK
Answer:
If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.
Step-by-step explanation:
Multiply. Enter the product in simplest form.
2/7 x 4/5
Evaluate
p
+
(
−
q
)
−
2
p
A bag weighing 80 N rests on a horizontal surface. The coefficient of static friction between the bag and the surface is 0.4, and the coefficient of kinetic friction is 0.2. What minimum horizontal force must be applied to keep the bag moving at constant velocity once it has started to move?
Answer:
The minimum horizontal force that must be applied to keep the bag moving at constant velocity once it has started to move is 16 newtons.
Step-by-step explanation:
According to the First and Second Newton's Laws, an object has net force of zero when it is at rest or moves at constant velocity. Given that bag rests on a horizontal surface, the equation of equilibrium is:
[tex]\Sigma F = P - f = 0[/tex] (Eq. 1)
Where:
[tex]P[/tex] - Horizontal force exerted on the bag, measured in newtons.
[tex]f[/tex] - Kinetic friction force, mesured in newtons.
From (Eq. 1), we get that horizontal force is:
[tex]P = f[/tex]
On the case of a horizontal surface, normal force exerted from ground on the bag and kinetic friction force is:
[tex]f = \mu_{k}\cdot W[/tex] (Eq. 2)
Where:
[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.
[tex]W[/tex] - Weight of the bag, measured in newtons.
Then we eliminate kinetic friction force by equalizing (Eqs. 1, 2):
[tex]P = \mu_{k}\cdot W[/tex]
If we know that [tex]\mu_{k} = 0.2[/tex] and [tex]W = 80\,N[/tex], then the horizontal force that must be applied to is:
[tex]P =0.2\cdot (80\,N)[/tex]
[tex]P = 16\,N[/tex]
The minimum horizontal force that must be applied to keep the bag moving at constant velocity once it has started to move is 16 newtons.
1. You decide to buy some new clothes. The subtotal comes to $123.79, but
you have a 15% off coupon. What is the total you will spend? *
Answer:
$105.22
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. 30
2. 0.83333333
3. 1.2
4. 30
Step-by-step explanation:
H is the only reasinable decimal
Jenna's brother borrowed $200 from her to buy a tablet. She will charge him 3% simple interest. Her brother says he will pay her back in 6 months. What is the total amount he will pay back?
Answer:
personally I believe its 6..
Step-by-step explanation:
10% of 200 is 20. if 10% is 20 then each part would equal 2. 2×3 is equal to 6
Answer:
$203
Step-by-step explanation:
To find the cost he pays back you need to mulitply 200 x 3% x 6 months.
Because you can't multiply with different units, you convert them to the same unit. (Numeric form)
To convert, we divide 3% by 100 and get 0.03
6 MONTHs is equal to 1/2 of a year which is also 0.5.
Now that all of our numbers are using the same units, we can multiply.
200(0.03)(0.5)
200 x 0.03 is 6
6 x 0.5 is 3.
We need to add the total amount her brother pays her back and the interest.
He pays her $200 for the Tablet and gives her $3 for the interest.
200+3=203.