The value of QR in the triangle is 16 units
What is congruent triangle?Recall that Congruence of triangles represents the similarity of triangles. Two triangles are congruent if their corresponding sides and angles are congruent
The question states that ΔPML≅ΔTRQ
This implies that ML/QR = PM/TR
⇒(7x-9)/2x+2 = 35/14
Cross and multiplying we have
14(7x-9) = 35(2x+2)
=98x-126 = 70x +70
98x-70x = 70+126
⇒28x = 196
Making x the subject of the formula
x= 196/28 = 7
Recall that the side QR = 2x+2
Then by substitution,
2(7) +2
14+2 =16
This therefore keeps the side QR as 16 units.
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What is the volume of the pyramid in the diagram?
9 cm
height = 3 cm
5 cm
S cm
OA 25 cm3
OB.
75 cm
O C.
105 cm
OD. 135 cm
E.
225 cm
Answer:
A. 25 cm^3.
Step-by-step explanation:
Volume = 1/3 * area of base * perpendicular height,
= 1/3 * 5^2 * 3
= 5^3
= 25.
The correct option is A. Volume of the pyramid is 25 cm³ which is option A.
What is the volume of the pyramid?
The volume of a pyramid is given by lbh/3. It is also given by the product of the base area and height of the pyramid and then divided by 3.
The base of the pyramid is in the form of a square as all sides are 5 cm. Find the area of the square that is the base area.
5×5=25 cm²
Now multiply 25 by the height of the pyramid which is 3 cm.
25×3=75 cm³
Divide 75 by 3 to find the volume of the pyramid.
75÷3=25 cm³
Thus, the volume of the pyramid is 25 cm³ which is option A.
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7. Rose can type 70 words per minute (wpm). At this rate, how many words can she type in 30 minutes? a. 3100 wpm b. 40 wpm c. 2100 wpm d. 280 wpm
Answer:
a. 3100 wpm
[tex]1 \: minute = 70 \: words \\ 30 \: minutes = (30 \times 70) \: words \\ = 2100 \: words[/tex]
Tim's credit card has a restriction that he must pay either 15 percent of the unpaid balance or $25, whichever is greater
Which will he pay if he has an unpaid balance of $216?
A) $25
B) 15%
Answer:
He has to pay 15% as that is 32 and more than $25
Step-by-step explanation:
If you take 15% out of 216 it will become 32.
Help me please!!:((((
Answer:
.01*.5ˣ
Step-by-step explanation:
we can see that x=0 y= .01
so in our equation
a*bˣ
a=.01
This is throuhg plugging in 0 for x
a*b⁰=.01
a*1=.01
a=.01
Now it's just a matter of finding b
to do this just plug in a value
we know that when x=1 y=.005
.01*b¹=.005
b= .5
So our final equation is : .01*.5ˣ
i honestly don’t understand this ::))
Answer:
Answer is 100 sq m
Step-by-step explanation:
A = [tex]a^{2}[/tex]
A = [tex]10^{2}[/tex]
A = 100 sq m
HOPE IT HELPS
(FROM CROSS)
Determine the solution to the equation. 2(9x - 6) = 6(3x - 2) + 2
A. Infinite
B. One Solution
C. No Solution
hii! please help asap. i’ll give brainliest
Answer: D
Step-by-step explanation: The amount of times a number appears is the amount of x's you put over it. D matched it.
What is the correct algebraic representation of the transformation displayed on the graph?
A- (y,-x)
B- (-y,x)
C- (-x,y)
D- (-x,-y)
Answer:
[tex]transformation: (y,-x)[/tex]
----------------------------
hope it helps...
have a great day!!
plot the numbers -1.5,3/2,-3/2,-4/3 on the number line. label each point with its numeric value.
Answer:
so 3%5+=67K and 9+=-8 is -1
Step-by-step explanation:
HELP ME I BEGGGG THANK U PLEASE ITS DUE
Answer:
y=6x+24
Step-by-step explanation:
EASY POINTS!!
The diameter of this circular cutting board is 16 inches.
What is the area of the cutting board in terms of pi?
A. 32 square inches
B. 64 square inches
C. 256 square inches
D. 16 square inches
Answer:
B. 64 square inches
Step-by-step explanation:
you just add
Answer:
Step-by-step explanation:
4
4
How would you tell someone to plot (4,-3)?
pick the two best answers
1
go right 4
go left 4
go up 3
go down 3
What I pic
Step-by-step explanation:
go right 4
go down 3
it is the answer
HELP I NEED HELP QUICKLY PLEASEEEE
Please help me answer this i’m being timed, tysm ur the best!:)
Answer:
See below.
Step-by-step explanation:
X-intercepts: (-1, 0) & (5, 0)
Y-intercept: (0, -5)
Vertex: (2, -9)
Axis of Symmetry: x = 2
The money used in Jordan is called the
Dinar. The exchange rate is 1 Dinar for
every $1.40. Find how many dollars you
would receive if you exchanged 32.4
Dinars.
Answer:
$45.36
Step-by-step explanation:
1 dinar = $1.4
32.4=?
32.4*1.4
$45.36
The triangular face of the given prism has an interior angle with a measure of 55° and an exterior angle with a measure of 95°. What is the measure of the marked interior angle?
Answer:
40 degrees
Step-by-step explanation:
sum of angles in a triangle = 180 degrees
if the exterior angle measures = 95, the interior angle beside it would measure 180 - 95 = 85
marked interior angle = 180 - (85 + 55) = 40 degrees
Answer:
As ewomazinoade states 40° should be the correct answer.
Inscribed angles math lib
Need help with number 2 , 3 , and 4 thank you!!!
Answer:
See solutions below
Step-by-step explanation:
2) angle at the vertex is half that of its intercepted arc;
51 = 1/2(14x-38)
51*2 = 14x-38
102 = 14x-38
14x = 102 + 38
14x = 140
x = 140/10
x = 14
3) 9x+7 = 1/2(68)
9x + 7 = 34
9x = 34-7
9x = 27
x = 27/9
x = 3
4) 114 = 1/2(30-(8x-36+40))
114 = 1/2(360-8x+36-40)
114*2 = 356 - 8x
-8x = 228-356
-8x = -128
x = 128/8
x = 16
Answer:2
Step-by-step explanation:
51+14x-38=180
13+14x=180
14=167
X=12
A triangle has sides with length of 11 feet 12 feet and 13 feet. Is it a right triangle
Answer:
No
Step-by-step explanation:
It will be a right triangle if it follows Pyhthagoras Theorem . Where the sum of squares of two smaller sides is equal to the square of the 3rd side. Let's check ,
→ 11²+ 12² = 13²
→ 121 + 144 = 169
→ 265 ≠ 169
Hence the ∆ is not a right angled triangleEnter the value of 3 over 4
Answer:
1. Three fourths
2. 3/4
3. 0.75
4. 75%
Step-by-step explanation:
i dont know which one you want
Answer:
.75
Step-by-step explanation:
3 over 4 means [tex]\frac{3}{4}[/tex], and a fraction is just a division problem. 3 ÷ 4 = .75
Please do all four, thanks :)
I'm feeling generous today *40 points*
Step-by-step explanation:
A. x^2-9x+18
B. x^2-8x+16
C. 2x^2-5x-12
D. 12x^2-31x+7
Akiko's bill at the restaurant was $14.05. She left a tip of 18% what is the tip amount (no rounding)
Answer:
$2.52
Step-by-step explanation:
Can You Help Me With This Please?
Answer:
Step-by-step explanation:
Thats what i got but you still have to do the other 2 steps i am not sure how, but i hope that helps!
Find the measure of
Answer:
16
Step-by-step explanation:
If u use a protracter it will work
I need this answer quick godbless if u help
Please help I give out brainliest .....Kellie bought 8 towels and spent $39.60. Each towel costs the same amount.
Part A
Use the drop-down menus to create an equation that can be used to determine t, the
price, in dollars, of 1 towel.
+
8
39.60
V
Part B
What is the price, in dollars, of 1 towel?
Enter your answer in the box.
Answer:
Each Towel is 4.95 each
Step-by-step explanation:
We can use 8t = 39.60 as our equation
8t = 39.60
Divide 8 on both sides.
t = 4.95
Hope this helps! ^^
Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.
Answer:
hi
Step-by-step explanation:
omhg hi
x=4/2, y=2
x=8, y=2
x=8, y=4
x=472,y=4
x=4, y=42
Answer: x = 8 y = 4 or C
Step-by-step explanation:
What is the value of
NICO
?
81
16
16
81
16
81
81
16
What is the midpoint of (6,3) and (-3,-7)
Answer:
(Xm, Ym) = [ x1+x2/2, y1 + y2/2]
Given (6,3) (-3,-7)
x1 y1 x2 y2
Step-by-step explanation:
(Xm,Ym) =[ 6-3/2, 3-7/4]
= [ 3/2, -1]
20 POINTS! The managers of an automotive insurance company investigated whether the customers in region A have a higher proportion of speeding tickets than the customers in region B. The managers selected 154
customers from region A at random and found that 79 have had a speeding ticket. The managers also selected 148 customers from region B and found that 67
have had a speeding ticket.
To test whether the results could be explained by random chance, the managers simulated 1,000 rerandomizations of the data and then subtracted the sample proportion of region B from the sample proportion of region A in each of the simulations. The table shows the results of the differences.
SEE PICTURES BEFORE ANSWERING
Answer:
Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?
Step-by-step explanation: