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tia_tia [17]
2 years ago
11

Beth is using triangular shaped pieces to cover the front of a pillow. The base of each triangle is 9 inches and the height of

Mathematics
2 answers:
Anarel [89]2 years ago
8 0
The answer is 27 square inches
dezoksy [38]2 years ago
8 0
The answer is 27 square inches
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A bin in the gym holds 40 balls, which are a mix of
rosijanka [135]

Answer:

15 basketballs

Step-by-step explanation:

3:1:4= 8

40/8= 5

3*5=15

1*5=5

4*5=20

15:5:20

5 0
2 years ago
Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.
earnstyle [38]

Answer:x1 = - 2.5

x2 = 29

x3 = 10

Step-by-step explanation:

2x1 + x2 − 2x3 = 4 - - - - - - - - - - 1

4x1 + 2x3 = 10 - - - - - - - - - - - - - 2

−4x1 + 5x2 − 17x3 = −15 - - - - - - - 3

Adding equation 2 to equation 3, it becomes

5x2 - 15x3 = - 5 - - - - - - - - - - -;-4

Multiplying equation 1 by 4 and equation 3 by 2, it becomes

8x1 + 4x2 − 8x3 = 16

8x1 + 10x2 − 34x3 = −30

Subtracting

- 6x2 + 26x3 = 46- - - - - - - - - - - - 5

Multiplying equation 4 by 6 and equation 5 by 5, it becomes

30x2 - 90x3 = - 30

- 30x2 + 130x3 = 230

Adding, it becomes

20x3 = 200

x3 = 200/20 = 10

Substituting x3 = 10 into equation 4, it becomes

5x2 - 15 × 10 = - 5

5x2 - 150 = - 5

5x2 = - 5 + 150 = 145

x2 = 145/5 = 29

Substituting x3 = 10 into equation 2, it becomes

4x1 + 2 × 10 = 10

4x1 = 10 - 20 = - 10

x1 = - 10/4 = - 2.5

4 0
2 years ago
Estimate the sum of 487 and 310
lianna [129]
If you do it by 100s
500+300=800
4 0
2 years ago
Read 2 more answers
Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on t
alexgriva [62]

The figure is missing so I attached a helping figure

Answer:

Line segment ST is congruent to line segment UT

Step-by-step explanation:

From the attached figure

∵ ST and UT are tangents to circle K at points S and U

∵ SK and UK are radii in the circle K

- The tangent is perpendicular to the radius at the point of tangent

∴ ST ⊥ KS ⇒ at point S

∴ m∠KST = 90°

∴ UT ⊥ KU ⇒ at point U

∴ m∠KUT = 90°

∴ m∠KST = m∠KUT

In the two triangles KST and KUT

∵ KS = KU ⇒ radii

∵ m∠KST = m∠KUT ⇒ proved

∵ KT is a common side in the two triangles

- That means the two triangles are congruent by HL postulate

    of congruence (hypotenuse and leg of right triangle)

∴ Δ KST ≅ KUT ⇒ HL postulate of congruence

- By using the result of congruence

∴ ST = UT

Line segment ST is congruent to line segment UT

5 0
2 years ago
Read 2 more answers
Becky adds 3/4 gallon of gasoline into her snow thrower's empty fuel tank. She uses 1/4 gallon for the snowstorm on Friday, and
Kaylis [27]
Amount of fuel in the tank before the story begins . . . . . zero.

Total amount poured in . . . . . 3/4 gallon.

Total amount burned:
                   on Friday . . . . . 1/4 gallon
                   on Sunday . . . . 1/4 gallon
                        Total used . . 1/2 gallon .

Amount remaining in the tank on Monday:

               (3/4 gallon in) - (1/2 gallon burned)  =  1/4 gallon left.
                                                                        ==>  NOT empty

The tank would have been empty on Monday IF Becky
had poured in only 1/2 gallon, instead of 3/4 of a gallon
before the first flakes began to fly.
8 0
2 years ago
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