Answer:
x = 3
Step-by-step explanation:
Given
4 : 8 = x : 6, expressing in ratio form, that is
= 
( cross- multiply )
8x = 24 ( divide both sides by 8 )
x = 3
Thus 4 : 8 = 3 : 6
Answer:
a). m∠AED = 70°
b). x = 10°
Step-by-step explanation:
a). Quadrilateral ABDE is a cyclic quadrilateral.
Therefore, by the theorem of cyclic quadrilateral,
Sum of either pair of opposite angle is 180°
m(∠AED) + m(∠ABD) = 180°
m(∠AED) = 180° - 110°
m(∠AED) = 70°
Since, ∠AED ≅ ∠EAD
Therefore, m∠AED = m∠EAD = 70°
b). By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
110° + 40° + m∠DAB = 180°
m∠DAB = 180° - 150°
m∠DAB = 30°
m∠BAE = m∠EAD + m∠BAD
= 70° + 30° = 100°
By angle sum theorem in ΔACE,
m∠EAC + m∠AEC + m∠ACE = 180°
100° + 70° + x° = 180°
x = 180° - 170°
x = 10°
Answer:
the answer is option B. angle S.
when naming an angle we place the vertex of the angle in the middle. here the angle is RST. But that option is unavailable. very often when there are no other angles interfering with the parent angle, we represent it using one letter that is the mid letter, the vertex. here in this case it is S.
Answer:
pic attached
Step-by-step explanation:
hope it helps..
The product that will give a negative answer is: −3 × 4 × (−2) × (−7) = -168.
<h3>How to Find the
Product of Negative Numbers?</h3>
The rule when multiplying two negative numbers is that, the negative signs will cancel each other. That is, minus multiplied by minus will give as plus.
For example, -a × -b = ab
Also, "plus" multiplied by "minus" will also give as "minus. For example:
-a × b = -ab.
Using the above rule, let's find the product of the following:
−3 × 5 × (−6) × 4 = -15 × (-24)
−3 × 5 × (−6) × 4 = 360 [minus × minus = plus]
−7 × (−3) × (−9) × 0 = 0 [anything multiplied by 0 must result to 0]
−4 × (−6) × (−3) × (−5)
= 24 × 15
−4 × (−6) × (−3) × (−5) = 360
−3 × 4 × (−2) × (−7)
= -12 × 14
−3 × 4 × (−2) × (−7) = -168
Therefore, the product that will give a negative answer is: −3 × 4 × (−2) × (−7) = -168.
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