I have attached an image of the triangle.
BC = 9 cm
Answer:
CE = 7.2 cm
Step-by-step explanation:
In the attached triangle, we see that;
AB = AC = 7.5cm
BC = 9 cm
AD = 6cm
BC = 9cm
Formula for area of triangle is given as;
A = ½bh
Where b is base and h is height.
For the ∆ ABC with BC as base,
Area = ½ × 9 × 6 = 27 m²
Similarly, For ∆ ABC with AB as base,
Area = ½ × 7.5 × CE
Now, area from earlier is 27 cm²
Thus;
½ × 7.5 × CE = 27
Multiply both sides by 2 to get;
7.5CE = 54
CE = 54/7.5
CE = 7.2 cm
Andre paid $17,520 for a new car. He will make equal payments each month for 4 years. What will be Andre’s monthly car payment?
Answer:
$12
Step-by-step explanation:
because,
365=year
365*4= 1460
17,520/1460=$12
17)
In the coordinate plane, the endpoints of a line segment are (-12, 9) and (16, -5). What is the midpoint of the line segment?
A
(2, 2)
B
(-2,2)
(4.-2)
D
Can someone help me with this?
Answer:
Step-by-step explanation:
Quadrilateral EFGH is a rectangle.
Therefore, measure of all interior angle of the rectangle = 90°
7). m∠FEG + m∠GEH = 90°
57° + m∠GEH = 90°
m∠GEH = 90° - 57°
m∠GEH = 33°
Diagonal of the rectangle are equal in measure and bisect each other.
8). m(FH) = m(FK) + m(KH)
= 32 + 32 [Since, FK ≅ KH]
= 64
9). m∠FGH + m∠EFG = 90° + 90°
= 180°
MNOP is a Rhombus, so the diagonals will be perpendicular and bisect each other.
10). m∠MRN = 90°
11). m(PR) = 12
Therefore, m(RN) = 12
"Diagonals of a rhombus bisect the opposite angles"
12). m(∠PON) = 124°
Therefore, m(∠POM) = 124°
"ABCD is an isosceles Trapezoid"
13). Therefore, ∠C ≅ ∠D
14). AB║CD
15). AD ≅ BC
Answer please nowwwwwwe
-9m-27n as a product
Answer:
-9m-27n=
-9(m +3n)
[tex]{ \huge{ \green{ \underline{ \bf{Given}} \colon}}}[/tex]
[tex]{ \large{ \red{✮ \: \: \underline{ \underline{ \tt{ - 9m - 27n \: \: as \: \: a \: \: product}}} \colon}}}[/tex]
[tex]{ \huge{ \pink{ \underline{ \bf{Now}} \colon}}}[/tex]
[tex]{ \large{ \blue{ \therefore{ \boxed{ \boxed{ \sf{ - 9(m + 3n)}}}}}}}{ \large{ \orange{ \tt{Ans.}}}}[/tex]
h is 60% of m.
Also, r is 75% ofm.
Work out h as a percentage of r.
Answer:
h=0.6m
r=0.75m
h=0.6m/0.75m*100 percent of r.
h=6000/75% of r
h=80% of r
Step-by-step explanation:
The expression of h as a percentage of r would be as; 80% of r.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
WE are given that h is 60% of m.
Also, r is 75% of m.
WE need to find out h as a percentage of r.
Therefore, h=0.6m
r=0.75m
Now we can write as;
h = 0.6m/0.75m x 100 percent of r.
h = 6000/75% of r
h = 80% of r
Hence, the expression of h as a percentage of r would be as; 80% of r.
Learn more about percentages;
brainly.com/question/24159063
#SPJ5
how can I find the smallest division of a measurement without a ruler? for eg. 12.45cm, what's the smallest division?
Answer:
Step-by-step explanation:
mm
What is the value of c?
Answer:
180-96 will be the value for c
now do the calculation urself
What is an equation of the line that passes through the points (-4,3)
and (-8,0)?
Answer:
Step-by-step explanation:
Slope of line passing through (-4, 3) and (-8, 0) = (3-0)/(-4-(-8)) = 3/4
Point-slope equation for line of slope ¾ that passes through (-8, 0):
y-0 = ¾(x+8)
Pls tell me the answer....it’s dueee today
Answer:
90°
Step-by-step explanation:
Hi!
I forgot the theorems exact name but it's something like "radius to a line that is tangent to the circle is always perpendicular to the tangent line" and perpendiular means 90°
Write two expresiones that are equivalent to -5/4x - 3/4
Answer:
Two expressions that are equal to [tex]-\frac{5}{4} x - \frac{3}{4}[/tex] is -([tex]\frac{5}{4} x + \frac{3}{4}[/tex]) and [tex]\frac{1}{4}[/tex] (-5x - 3)
Step-by-step explanation:
Both expressions use the distributive property and take out -1 and [tex]\frac{1}{4}[/tex] from each expression to form equivalent expressions to [tex]-\frac{5}{4} x - \frac{3}{4}[/tex].
Which statement below is an example of the
Associative Property of Addition?
A. 7+(3+5)= 7+(5+3)
B.9+(11 + 6) = (9 +11) + 6
C. 3(6+5) = 3.6+3.5
D. 12(8 + 4) = 12(8) + 12(4)
Answer:
B
Step-by-step explanation:
Let say, a=9,b=11,c=6
Then associative properties says that every element is related to each other, here "b" associates a &c.
Therefore, a is related to b+c
c is related to a+b
Someone help me Please!!!
Answer: (-2, -1) and (3, 14).
Step-by-step explanation:
[tex]\left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y-3x=5}} \right. ; \left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y=5+3x}} \right.[/tex]
x² + 2x - 1 = 5 + 3x
x² + 2x - 1 - 5 - 3x = 0
x² - x - 6 = 0
[tex]General formula\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=-1; \: \: c=-6\\\\x=\dfrac{1 \pm \sqrt{(-1)^{2}-4 \cdot1 \cdot (-6)} }{2 \cdot 1}=\dfrac{1 \pm\sqrt{25} } {2} =\dfrac{1 \pm5}{2} \\\\x_{1} = -2\\x_{2} =3[/tex]
y = 5 + 3x
y₁ = 5 + 3 * (-2) = -1
y₂ = 5 + 3 * 3 = 14
The pair of points representing the solution set of this system of equations is (-2, -1) and (3, 14).
1. The graph of a LINEAR FUNCTION is a _______
A. Parabola
B. Point
C. Line
D. Circle
2. Which of the following are linear equations in two variables?
(a.) 2x + 3y = 12
(b.) x² +3y=4
(c.) y= 3x² -4
(d.) y² =16
3. Which of the following linear equations is in Standard form? (Ax + By =C)
A. Y= 7x + 3
B. 3x –5y= -5
C. - x + 7y =2
D. 4y -x = 0
4. What is the value of y in the equation
x -2y =4 given that x=8?
A. -4
B. -2
C. 2
D. 4
5. in the equation 2x + 3y = 7‚ when y=1, which would be the corresponding value of x?
A. -2
B. 0
C. 2
D. 4
6. which of the following ordered pairs is a
solution to the linear equation x-2y = 12?
A. (16,2)
B. (-8, -1)
C. (14,-1)
D. (4,-3)
7. which of the following is NOT a solution of the linear equation 3x -5y =-2?
A. (2,1)
B. (1, 1)
C. (6,4)
D. (16,10)
8. the steepness of the line also known as rise over run is called
A. linear equation
B. linear function
C. linear inequality
D. slope
9. which of the following equation is to be used in finding for slope of the given linear equation standard form?
A. m=A/ B
B. m= -A/B
C. m= B/-A
10. find the slope of the line that corresponds to the equation y=7x–5.
A. –5
B. 7x–5
C. 7
D. 7x
11. in the equation y= -2x +6, what is the slope?
A. -2
B. -1
C. 2
D. 6
12. in the equation y= 3x – 2, what is the y- intercept?
A. 3
B. -3
C. 2
D. -2
13. which of the following linear equations
is in slope-intercept form? (y=mx + b)
A. y= 9x – 23
B. x=3y+10
C. 2x+2y=2
D. x+7y=1
14. which of the following linear equations is in standard form? (Ax + By =C)
A. –x+7y=14
B. y=7x–14
C. 8y–x=16
D. 2x–9y=–6
15. which of the following is the standard form of y=11x+3 ?
A. 11x–y=3
B. –11x+y=–3
C. –11x+y=3
D. 11x–y=–3
=mclm=
Answer:
1.Line
2.A
3. c
4.2
5.2
6. a
7.A
8.Slope
9.C
10.B
11.D
Step-by-step explanation:
Find the slope of the line passing through the points (-3,5) and (-3,-7)? can anyone help me
===========================================
Explanation:
Let's apply the slope formula
m = (y2-y1)/(x2-x1)
m = (-7-(-3))/(-3-(-3))
m = (-7+3)/(-3+3)
m = -4/0
We run into trouble because 0 is in the denominator. We cannot divide by zero. This is why the slope is undefined.
The two points (-3,5) and (-3,-7) form a vertical line when you draw a line through them. All vertical lines have an undefined slope.
Put another way: the x coordinates of both points are the same (both are -3), so when we subtract those x coordinates, we end up with 0 in the denominator that leads to an undefined slope.
help my peleas
[tex]25 = {c}^{2} [/tex]
Answer:
5
Step-by-step explanation:
[tex]c^{2}[/tex] = 25
[tex]\sqrt{c} = \sqrt{25}[/tex] /take square root of both sides
c = 5 /square root of 25 is 5
A triangle has a height of 24km and a base of 18km. What is the area of the figure?
Answer:
216 square km
Step-by-step explanation:
24 x 18 / 2 =
432 / 2 =
216 km square
Hope that helps!
Answer:
225 [tex]km^{2}[/tex]
Step-by-step explanation:
Which choices are equivalent to the expression below?
Answer:
b d and e
Step-by-step explanation:
just simplify or modify each answer and you'll see which equate to 4 root 6. takes 2 mins.
Kirk wanted to open a savings account with the $2,000 he had earned over the summer. If the bank’s interest rate is 5%, how much will he have in 2 years? Show your work.
Answer:
$2205
Step-by-step explanation:
The formula is (2000*1.05^2) which is 2205
A local car dealership is holding a year-end event because new car models have just been released. Declan has $35,000 to spend on a car. The car Declan decides to buy for his family costs $35,000. However, it is part of the year-end event, which means he receives a 15% discount on the new car. Declan plans to put the money he saves on the car into a new bank account. The bank account has a yearly simple interest rate of 4%, paid at the end of each year. If Declan does not add any other money to this bank account, it will take
Answer:
6 years
Step-by-step explanation:
The computation of the time period is given below:
As we know that
Future value = Present value × (1 + rate of interest)^time period
$6,720 = ($35,000 × 15%) × (1 + 0.04)^time period
$6,720 = $5,250 × 1.04^time period
1.28 = 1.04^time period
So, the time period is 6.29 years i.e. 6 years
hence, the time that should be taken is 6 years
adam hikes from bridgetown to lakeville. Gina starts at the same time, and hikes from Lakeville to Bridgetown on the same road. Their hikes are represneted on the graph below.
Answer:
45
Step-by-step explanation:
Sandra has a rectangular pool in her backyard that is 9 feet long and 4 feet wide. A resort has a pool that is similar in shape, as shown. How long is the resort pool, in feet?
Answer:
? = 13.5
PLZ MARK AS BRAINLIEST
Step-by-step explanation:
6/4 = 1.5
9*1.5 = 13.5
pleaseeeeee halpppppppppppppp meeeeee i will mark brainlienst
Answer:
4 x c = 2,528
c = 632
Step-by-step explanation:
Answer:
The bottom one
Step-by-step explanation:
The question is saying they spent $2528 on 4 laptop computers that each cost the same amount so the equation is 4c=2528 .Divide 2528 by 4 to get 632.
P.S. can I get brainlist please?
Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
10
14 cm
Cylinder's volume = 1330.5 cm^3
Step-by-step explanation:
radius, r = diameter, d / 2
= 11/2
= 5.5 cm
Volume = π r^2 h
= π × 5.5^2 × 14
= 423.5π
= 1330.5 cm^3
Find the gradient of the line segment between the points (1,2) and (3,-10)
What is the value of y when x = 4?
Answer:
I think there is no y-intercept bc all they give you is x ( don't even have slope either) but I could be wrong...sorry
Q8.
a. xy = 24, since (3)(8) = 24
b. 4y = 24
Y = 24 ÷ 4
Y = 6
NB: I think I figured it out ^-^ I hope this helps!
The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $21,000.00, how much was the car worth when she bought it?
Answer
$23,333
Step-by-step explanation:
100% - 10% = 90%
90% = 0.90
21000/.90 = $23,333
PLLLLZxxXXZZ I REALLY NEED HELP DONT ANSWER RANDOM THINGS PLZ
Answer:
its B
Step-by-step explanation:
Answer:
i got A for both of them ^^
for #1 you would do 8(1/2÷2)-(1/4+4)
and for #2 its 7(2.5) - (12/3+6)
How are the triangles congruent? A) not congruent B) ASA C) SAS D) AAS
Answer:
A) not congruent. You only know one side and one angle to be congruent.
Step-by-step explanation:
can someone plz help me?
Answer: x = 2
Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2
answer
1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.