Answer:
Step-by-step explanation:
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this is the question i need help with.
Given:
[tex]\overline{AE}\cong \overline{DE}, \overline{AB}\cong \overline{DC}[/tex]
To prove:
[tex]\Delta ABE\cong \Delta DCE[/tex]
Solution:
In triangle AED,
[tex]\overline{AE}\cong \overline{DE}[/tex]
Two sides of triangle AED are equal, it means triangle AED is an isosceles triangle. The base angles of an isosceles triangle are equal. So,
[tex]\angle A\cong \angle D[/tex]
In triangle ABE and triangle DCE,
[tex]\overline{AE}\cong \overline{DE}[/tex] (Given)
[tex]\angle A\cong \angle D[/tex] (Base angles of an isosceles triangle are equal)
[tex]\overline{AB}\cong \overline{DC}[/tex] (Given)
Two corresponding sides and their included angles are congruent. So, triangles are congruent by SAS postulate of congruence.
[tex]\Delta ABE\cong \Delta DCE[/tex] (By SAS postulate of congruence)
Hence proved.
At a restaurant, you and your three
friends received a bill for $57.70
a. What is the total bill if you want to
include a 20% tip?
Answer:
$69.24
Step-by-step explanation:
$57.70X0.20=11.54
$57.70+$11.54=$69.23
Answer: the total is 69.24
Step-by-step explanation:
plzzzz helppp I need answer
Answer:
[tex] \huge \: 250 \: mL[/tex]
Step-by-step explanation:
tips and formulas:1 L=1000mLgiven:amount:1 L 500mLdistributed in 6 glasseslet's solve:1 L =1000 mL
1L 500 mL =1000+500 mL
=1500 mL
juice in 6 glasses 1500 mL
juice in 1 glass 1500÷6 mL
=250 mL
Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it. At the end of the 4 years, how much interest in dollars and cents did the account earn? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
$1105
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 6500 × 0.0425 × 4 = 1105
I = $ 1,105.00
The simple interest accumulated
on a principal of $ 6,500.00
at a rate of 4.25% per year
for 4 years is $ 1,105.00.
The interest in dollars and cents did the account earn should be considered as the $1,105.
Calculation of the interest in dollars:Since deposited amount is $6,500
The interest rate should be 4.25%
The time period is 4 years
So here the interest should be like
= ($6,500) (4.25%) (4)
= $1,105
hence, The interest in dollars and cents did the account earn should be considered as the $1,105.
Learn more about interest rate here: https://brainly.com/question/24656271
additive inverse of 3x - 6.
Answer:-3
Step-by-step explanation:
Jillian has a total debt of $36. She is trying to pay back $4 each week for the next 4 weeks. If Jillian is successful, which amount will represent the change in the amount of her debt?
-$8
-$12
-$16
-$20
Answer: $8
Step-by-step explanation:
Total Debt : $36
Every Week Paying Back: $4
So in 4 weeks so earns a total of $28 to pay back.
36 - 28 = 8
$8 is left to pay
----
so the answer is $8
If x= -3 is one solution of x2 + 9x + 18, what is the other solution?
A coach buys a uniform and basketball for each of the 15 players on the team. Each
basketball cost $9.50. The coach spends a total of $450 for uniforms and basketballs.
What is the cost, in dollars, of each uniform?
$
the perimeter of a rectangle is 52 cm. The length of the rectangle can be represented by (x.+5) and its width can be represented by (3x-7) what are the dimensions of this rectangle?
Answer:
Length=11
Width=11
Step-by-step explanation:
P (perimeter) is 52 so
2(x+5)+2(3x-7)=52
then
2x+10+6x-14=52
8x-4=52
8x=48
x=6
so
Someone please help with these and explain your answer for both!!! I will give brainliest if correct!!!
Answer:
C
Step-by-step explanation:
We have congruent angles in the middle and 2 sides are congruent as well which makes (Angle-Side-Side) which doesn't work for congruent triangles.
C. is the answer
2 givens and then we have CB = CB which is the reflexive property. I haven't heard of (definition of midpoint) but as long as there aren't any more answers except the 3 shown above it should be correct.
Determine the number of decimals places in each decimal
1. 0.378
2. 8.1867
3. 9419.4
4. 77.64
5. 9.05072
Please help I really need it I will be giveing 15 points to whoever can help me
Answer:
the slope is: -1/2
y-intercept: (0,-f)
hopefully that makes sense
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
PLSSSS SHOWWW THE WORKKK!!!!
Answer:
80 x by the power of 5 and y is by the power of 3
Answer:
80x⁵y³
Step-by-step explanation:
5x³y(-4xy)²
=5x³y*16x²y²
=80x⁵y³.
Please help me???????
Answer:
i can't see it
Step-by-step explanation:
How did he get from 3^-16/3/3^-8/3 to 0.00285333857/0.00285333857??? (The circled part) Because when I put it in the calculator I don’t get the decimal I was suppose to get.
Step-by-step explanation:
[tex] \frac{ {3}^{ - \frac{16}{ 3} } }{ {3}^{ - \frac{ 8}{3} } } = \frac{0.002853338}{0.05341665075} [/tex]
I think, he made a mistake because the exponents have different values but then if you'll look at his results, he just wrote the same thing. If you want, you could post the original problem, and I'll solve it for you :)
After a 60% reduction, you purchase a new sofa drink machine on sale for $312.
What was the original price of the sofa drink machne?
In the accompanying diagram of right triangle ACB, altitude CD is drawn to hypotenuse AB. If AB = 25 and CB = 10, what is the length of DB? (if you don’t know dont answer)
Answer:
The answer is 15
Step-by-step
if that didnt work sorry
Factorise x + 5x + 6
Answer:
6x+6
Step-by-step explanation:
Combine like terms:
x + 5x +6
6x+6
What is the slope of the line through points (-2, 3) and (6, 1)?
Answer:
slope is -1/4
Step-by-step explanation:
slope formula: (y₂ - y₁) / (x₂ - x₁)
(1 - 3) / (6 - (-2))
Simplify.
(-2) / 8
Simplify.
-1/4
Help asap please!! I will mark you as brainliest :)
Answer:
It would be a isosceles
Step-by-step explanation:
Evaluate 52. Check all that apply.
The base is 5.
The exponent is 2.
The expanded form is 2 × 2 × 2 × 2 × 2.
The expanded form is 5 × 5.
52 = 25
52 = 32
Answer: a, b, d, e
Step-by-step explanation: just got it right on edge 2021
Answer:
a,b,d,e
Step-by-step explanation:
Dana has to pay 30% tax on any income above £30,000 per year.
Dana is paid £45,000 annually.
Calculate the amount of money she receives after tax each month.
Algebra 1 Chapter 5 test
I didn't understand your question.
Plssss Help plsssssssssssss
Answer:
y = 5x
Step-by-step explanation:
Answer! Plz plz pls pls
Answer:
201.5238
Step-by-step explanation:
201.5238
calculator
Answer:
$201.52
Step-by-step explanation:
156.95 x 0.20 = 31.39 tip
subtotal = 188.34
188.34 x 1.07 = 201.52
Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the length of \overline{AC}? AC ?
Answer: [tex]\overline{AC}=[/tex] 12.5
Step-by-step explanation: The triangle ABC and its altitude [tex]\overline{BD}[/tex] is represented in the figure below.
Altitude is a segment of line that link a vertex and the opposite side, forming a right angle.
So, because of [tex]\overline{BD}[/tex], now we have two similar triangles, which means that ratios of corresponding sides are equal:
[tex]\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}[/tex]
[tex]\overline{BD}^{2}=\overline{BC}.\overline{AD}[/tex] (1)
This is always true for a right triangle and a altitude drawn to the hypotenuse.
Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.
[tex]\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}[/tex]
[tex]\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}[/tex] (2)
Substituting (2) into (1):
[tex]\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}[/tex]
We want to find f, so:
[tex]\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}[/tex]
[tex]f=\frac{10^{2}-5^{2}}{10}[/tex]
f = 7.5
The length of [tex]\overline{AC}[/tex] is
[tex]\overline{AC}=f+5[/tex]
[tex]\overline{AC}=7.5+5[/tex]
[tex]\overline{AC}=12.5[/tex]
The length of the hypotenuse of triangle ABC is 12.5 units.
Answer:
x = 20
Step-by-step explanation:
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?
9514 1404 393
Answer:
D y +5 = -2/7(x -4)
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
You're given (h, k) = (4, -5), so the equation will be of the form ...
y +5 = m(x -4) . . . . for some slope m
This form eliminates the first two choices.
__
The slope of the given line is the coefficient of x when solved for y:
2y = 7x +14
y = 7/2x +7 . . . . slope is 7/2
The perpendicular line will have a slope that is the opposite reciprocal of this, ...
-2/7 . . . . slope of perpendicular line
This is the slope shown in choice D:
y +5 = -2/7(x -4)
D
Step-by-step explanation:
o curso de inglês de Carolina teve duração de 4 semestres e 2 meses . quantos tempo durou esse curso de Carolina ?
a 26 meses
b: 24 meses
c : 22 meses
d: 20 meses
Answer:
a 26 meses gracias por los puntos
Ed buys a box of eggs costing £2.80, two packs of bacon for £2.40 each and two tins of baked beans. He pays with a £10 note and gets 80p change. How much does a tin of beans cost in pounds, £?
Answer:
£0.8
Step-by-step explanation:
egg = 2.80
Bacon = 2 * 2.40 = 4.80
Baked beans = 2 tins
Amount issued = 10
Change obtained = 80p = 0.8
Let cost per baked beans = x
Hence,
2.80 + 4.80 + 2x = 10 - 0.8
7.60 + 2x = 9.20
2x = 9.20 - 7.60
2x = 1.6
x = 1.6 / 2
x = 0.8
Hence, a tin of baked beans cost £0.8
Answer:
£0.80
Step-by-step explanation:
egg = 2.80
Bacon = 2 * 2.40 = 4.80
Baked beans = 2 tins
Amount issued = 10
Change obtained = 80p = 0.8
Let cost per baked beans = x
lol
2.80 + 4.80 + 2x = 10 - 0.8
7.60 + 2x = 9.20
2x = 9.20 - 7.60
2x = 1.6
x = 1.60 / 2
x = 0.80
YES WE GOT IT, a tin of baked beans cost £0.80
2 x + 6 = 10
solve for x
Answer:
x=2
Step-by-step explanation:
2x2=4
4+6=10
Answer:
x=2
Step-by-step explanation:
with questions like this do the inverse
10-6=4
4÷2=2
2=x
i hope this helped xx