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Komok [63]
3 years ago
9

What is the area of this triangle?

Mathematics
2 answers:
Andrews [41]3 years ago
8 0

Answer:

21x square inches

Step-by-step explanation:

Area of triangle= 1/2(bh)

=1/2(7x(6x))

=1/2(42x)

=21x

11Alexandr11 [23.1K]3 years ago
3 0

Answer:42x

Step-by-step explanation:6x . 7x = 42x

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1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x
qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is (2x+10)^\circ, so the measure of arc DF is

m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ

The inscribed angle theorem tells us that the central angle subtended by arc DF, \angle DOF, has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

m\angle DOF=2m\angle OEF=64^\circ

so the measure of arc DF is also 64 degrees. So we have

170-2x=64\implies106=2x\implies\boxed{x=53}

###

2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}

7 0
3 years ago
Translate and solve 860.89 is what percent of 437
Bumek [7]

Answer:

197%

Step-by-step explanation:

1.97 = 437/860.89

1.97=197%

4 0
3 years ago
Equation parallel to y = 3x + 2 and passing through (1, 1)
Kisachek [45]

Answer:

y = 3x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, then

y = 3x + c ← is the partial equation

To find c substitute (1, 1) into the partial equation

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = 3x - 2 ← equation of line

6 0
3 years ago
Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class tr
vladimir1956 [14]

Answer:

$400

Step-by-step explanation:

140 ÷ 35% = 400

6 0
2 years ago
Whats is 4 hundreds 13 tens 5 ones in standard form
mars1129 [50]
<span>4 hundreds 13 tens 5 ones = 400+13*10+5
                                        = 400+130+5
                                        = 535</span>
6 0
3 years ago
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