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tester [92]
3 years ago
5

Triangle DEF is similar to triangle PQR

Mathematics
1 answer:
almond37 [142]3 years ago
8 0
It is a beacuse it’s is q that’s all
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Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch
astraxan [27]

Answer:  1 3/4 cups of apples in each batch

Step-by-step explanation:

STEP  1

Writing out the equation to represent if 7 cups of  apples make 4 batches   One batch is as a result of how many  cups of apples

LET x be number of cups of apples to make each batch

7 cups of  apples = 4 Batches

        x cups of apples = 1 Batch

STEP 2  Solving by cross multiplication

1 batch x 7 cups of apples = 4 batches  X x cups of apples

x cups of apples=1 batch x 7 cups of apples / 4batches

x   = 7 / 4 =  1 3/4

number of cups of apples to make each batch=  1 3/4

8 0
3 years ago
What is the solution to the system of equations shown below?
Alexxandr [17]

Answer:

  b.  (1, 3, ­-2)

Step-by-step explanation:

A graphing calculator or scientific calculator can solve this system of equations for you, or you can use any of the usual methods: elimination, substitution, matrix methods, Cramer's rule.

It can also work well to try the offered choices in the given equations. Sometimes, it can work best to choose an equation other than the first one for this. The last equation here seems a good one for eliminating bad answers:

  a: -1 -5(1) +2(-4) = -14 ≠ -18

  b: 1 -5(3) +2(-2) = -18 . . . . potential choice

  c: 3 -5(8) +2(1) = -35 ≠ -18

  d: 2 -5(-3) +2(0) = 17 ≠ -18

This shows choice B as the only viable option. Further checking can be done to make sure that solution works in the other equations:

  2(1) +(3) -3(-2) = 11 . . . . choice B works in equation 1

  -(1) +2(3) +4(-2) = -3 . . . choice B works in equation 2

7 0
3 years ago
Factoring Quadratic Expressions:<br> 5p^2 - p - 18
Dennis_Churaev [7]
5 p^{2} -p-18

5 p^{2}-10p+9p-18

5p(p-2)+9(p-2)

(p-2)(5p+9)
3 0
3 years ago
Given: Base ∠BAC and ∠ACB are congruent.
Sergio039 [100]

Refer to the image attached.

Given: \angle BAC and \angle ACB are congruent.

To Prove: \DeltaABC is an isosceles triangle.

Construction: Construct a perpendicular bisector from point B to Line segment AC.

Consider triangle ABD and BDC,

\angle BAD = \angle BCD (given)

\angle ADB = \angle BDC = 90^\circ

(By the definition of a perpendicular bisector)

AD=DC (By the definition of a perpendicular bisector)

Therefore, \Delta ABD \cong \Delta BDC by Angle Side Angle(ASA) Postulate.

Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)

8 0
3 years ago
Read 2 more answers
The height, H,of a cylinder is 5 units less than 3 times the radius, R, which expression expresses the height of the cylinder in
Zina [86]
The answer is:  [B]:  " 3r − 5 " .
_______________________________________________________
   
H = 3r <span>− </span>5
_______________________________________________________
3 0
3 years ago
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